Help please!!

Use the first and last data points to find the slop intercept equation of the trend line.

Help Please!! Use The First And Last Data Points To Find The Slop Intercept Equation Of The Trend Line.

Answers

Answer 1

The slope-intercept equation of the line that best fits the data, with a slope of 5.3333 and a y-intercept of 9.6666.

What is the slope?

The slope of a line represents the change in the dependent variable (y) for a unit change in the independent variable (x). In this case, the slope of the line of best fit represents the average change in the test grade for a one hour increase in studying. To find the slope, you can use the formula:

m = (Σxy - (Σx)(Σy)/n) / (Σx² - (Σx)²/n)

To find the slope-intercept equation of the trend line using the first and last data points, we'll first find the slope (m) of the line. The slope can be found using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where x₁ and y₁ are the values for the first data point, and x₂ and y₂ are the values for the last data point. In this case, the first data point is (1, 15) and the last data point is (7, 47):

m = (47 - 15) / (7 - 1) = 32 / 6 = 5.3333

Next, we'll use the slope and the first data point to find the y-intercept (b) using the formula:

b = y₁ - m * x₁

b = 15 - 5.3333 * 1 = 15 - 5.3333 = 9.6666

Finally, we'll use the slope and y-intercept to write the slope-intercept equation of the line:

y = mx + b

y = 5.3333x + 9.6666

Hence, the slope-intercept equation of the line that best fits the data, with a slope of 5.3333 and a y-intercept of 9.6666.

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Answer 2

Answer:

[tex]y=\dfrac{16}{3}x+\dfrac{29}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

The first and last data points of the given table are:

(1, 15)(7, 47)

Substitute the data points into the slope formula to find the slope of the trend line:

[tex]\text{Slope}\;(m)=\dfrac{47-15}{7-1}=\dfrac{32}{6}=\dfrac{16}{3}[/tex]

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Substitute the found slope and the first data point into the slope-intercept formula and solve for b:

[tex]\implies 15=\dfrac{16}{3}(1)+b[/tex]

[tex]\implies 15=\dfrac{16}{3}+b[/tex]

[tex]\implies b=15-\dfrac{16}{3}[/tex]

[tex]\implies b=\dfrac{45}{3}-\dfrac{16}{3}[/tex]

[tex]\implies b=\dfrac{45-16}{3}[/tex]

[tex]\implies b=\dfrac{29}{3}[/tex]

Therefore, the equation of the trend line in slope-intercept form is:

[tex]y=\dfrac{16}{3}x+\dfrac{29}{3}[/tex]


Related Questions

Find the rate of change for the situation: Ron completed 3 math assignments in one hour and Duke completed 6 assignments in two hours

Answers

The rate of change is 3.0, or three assignments are completed every hour when timed in hours.

How is the rate of change per hour determined?The formula R = D/T, or rate of change equals the distance travelled divided by the time required to do so, can be used to approach rate of change problems in general.Divide the y-value change by the x-value change to determine the average rate of change.  Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The pace of change of the condition is determined by the slope, which is calculated using the slope formula.

m =  (6 - 3) miles / (2 - 1) hour = 3 miles / 1h

The rate of change is 3.0, or three assignments are completed every hour when timed in hours.

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Assume that the int variables a, b, c, and low have been properly declared and initialized. The code segment below is intended to print the sum of the greatest two of the three values but does not work in some cases.if (a > b && b > c){low = c;}if (a > b && c > b){low = b;}else{low = a;}System.out.println(a + b + c - low);For which of the following values of a, b, and c does the code segment NOT print the correct value?Aa = 1, b = 1, c = 2Ba = 1, b = 2, c = 1Ca = 1, b = 2, c = 3Da = 2, b = 2, c = 2Ea = 3, b = 2, c = 1

Answers

The correct solution are,

(C) a=1, b=2, c=3.

The code segment does not work in the case where a > b, c > b, but a < c.

In this case, the value of 'low' is set to 'b' instead of 'a', which causes the code segment to print the incorrect value.

The values of a, b, and c that fall into this case are a=1, b=2, and c=3.

Let's trace through the code segment using a=1, b=2, and c=3:

Since a=1 and b=2, the first conditional statement (a > b && b > c) evaluates to false, so we skip the first 'if' block.

Since a=1 and c=3, the second conditional statement (a > b && c > b) evaluates to true, so we set 'low' to 'b'.

However, since we have an 'else' block following the second conditional statement, it will always be executed. So, 'low' is set to 'a' instead.

Finally, the code segment prints the sum of a + b + c - low, which is 1+2+3-1 = 5, which is incorrect.

The correct answer should be 1 + 3 = 4.

Therefore, the answer is (C) a=1, b=2, c=3.

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Pollter are concerned about declining level of cooperation among peron contacted in urvey. A pollter contact 91 people in the 18-21 age bracket and find that 77 of them repond and 14 refue to repond. When 277 people in the 22-29 age bracket are contacted, 245 repond and 32 refue to repond. Aume that 1 of the 368 people i randomly elected. Find the probability of getting omeone in the 18-21 age bracket or omeone who repond. Report the anwer a a percent rounded to one decimal place accuracy. You need not enter the "%" ymbol. P(18-21 or repond)

Answers

The probability of getting omeone is  25.3%

Find the probability of getting omeone in the 18-21 age bracket or omeone who repond?

Define the two events

A = someone is in the 18-21 age bracket

B = the person does not respond

Based on the table, we have

n(A) = number of people in set A = 76

n(B) = 31

n(A and B) = 11

So,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 76+31-11

n(A or B) = 96

We have 96 people in the age 18-21 bracket, they didn't respond, or both.

Divide this over the 379 people surveyed

96/379 = 0.253 = 25.3%

Answer: 25.3%

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How many slices are in a 14 inch pizza?

Answers

Large pizzas are 14 inches in diameter and will offer approximately 10 slices.

What is meant by diameter?

A line that is straight and cuts through the middle of a body or figure. notably a line segment passing through a circle's centre and ending on the circle's rim. the diameter's length.It is twice as long as a circle's radius, or Diameter = 2 Radius.The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.The diameter or length of a circle is its circumference. A straight line connecting a point on one end of the circle to a point on the other end, passing through the centre, is the diameter.

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factor the expression 12x + 18 + 26

Answers

4(3x+11)
Hope it helps

I need help with the bottom 2

“write the slope-intercept for. (Y=mx+b) of the equation of each line.”

Answers

The equation of the each of the lines in slope-intercept form are:

5. y = -1/3x + 3.

6. y = 2x - 2

7. y = -8/3x + 4.

8. y = -2x + 1.

What is the Slope-intercept Form of a Line?

The slope-intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

5. Slope (m) = rise/run = -1/3

y-intercept (b) = 3

The equation is: y = -1/3x + 3.

6. Slope (m) = rise/run = 2/1 = 2

y-intercept (b) = -2

The equation is: y = 2x - 2

7. Slope (m) = rise/run = -8/3

y-intercept (b) = 4

The equation is: y = -8/3x + 4.

8. Slope (m) = rise/run = -2/1 = -2

y-intercept (b) = 1

The equation is: y = -2x + 1.

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find the slope (1,3), (5,5).
Find the slope (0,-1), (2,3)
Find the slope (2,-3),(5,-4)

Answers

Answer:

Find the slope (1,3), (5,5): m = 0.5

Find the slope (0,-1), (2,3): m = 2

Find the slope (2,-3), (5,-4): m = -1/3

Step-by-step explanation:

m = y2-y1/x2-x1

Answer: 2, 1, -1/3

Step-by-step explanation:

y2-y1/x2-x1

5-3 = 2

5-4=1

2

Need help before Friday

Answers

The discounted prices are given as follows:

5) Soccer ball: $7.46.

6) Leather jacket: $202.31.

7) Board game: $15.83.

8) Baseball cap: $11.43.

9) Wooden key: $15.12.

10) Phone charger: $13.30.

How to obtain the discounted prices?

The discounted prices are obtained applying the proportions in the context of this problem, multiplying the original price by the decimal equivalent of the discounted price.

Hence the discounted prices are obtained as follows:

5) Soccer ball: 10.65 x (1 - 0.3) = $7.46.

6) Leather jacket: 216.95 x (1 - 0.0675) = $202.31.

7) Board game: 17.69 x (1 - 0.105) = $15.83.

8) Baseball cap: 13.45 x (1 - 0.15) = $11.43.

9) Wooden key: 16.75 x (1 - 0.0975) = $15.12.

10) Phone charger: 15.65 x (1 - 0.15) = $13.30.

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Consider the following code segment, which traverses two integer arrays of equal length. If any element of arr1 is smaller than the corresponding (i. E. , at the same index) element of minarray, the code segment should replace the element of minarray with the corresponding element of arr1. After the code segment executes, minarray should hold the smaller of the two elements originally found at the same indices in arr1 and minarray and arr1 should remain unchanged.

Answers

The change that will ensure that the code segment functions as intended is "Removing lines 5-8

What is a code segment?A code segment, often known as a text segment or just text, is a section of an object file or the equivalent piece of the program's virtual address space that includes executable instructions in computing.A code segment, often known as a text segment or just text, is a section of an object file or the equivalent piece of the program's virtual address space that includes executable instructions in computing.A code segment, often known as a text segment or simply text in the area of computing, is a section of a computer file that contains object code or an analogous segment of the program's address space that contains executable instructions and directives information.

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how many more miles of trails are there than miles of shoreline in crater lake national park

Answers

Crater Lake National Park in Oregon is renowned for its spectacular scenery and pristine natural beauty. The park contains an impressive 155 miles of trails, which is significantly more than its 33 miles of shoreline.

The abundant trails within the park provide visitors with an opportunity to explore the area on foot, discovering the unique beauty and landscape that has captivated viewers for centuries.

The trails range from short, easy hikes to more difficult, challenging hikes. Many of the trails lead to breathtaking views of the lake, or to the top of the dormant volcano, Mount Mazama.

The trails are well-maintained and very well-marked, so visitors can confidently and safely make their way around the park. There are also several trails that feature interpretive signs to provide visitors with educational information about the area’s flora, fauna, and geology.

Using the trails, visitors can explore Crater Lake National Park’s many wonders, such as the stunning

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a box with a square base and no top is to be made from a square piece of cardboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 4332 in3. how big a piece of cardboard is needed?

Answers

The piece of cardboard needed will be 44 by 44 inches.

The volume of a square box can be defined as the space occupied by the square box or the cube, It is equal to the cube of the length of the side of the square box.

The formula for the volume is V = s³

The volume will be L*W*H

We are cutting 3 inches from each corner, so the length and width will each be x-6.

The height will be 4.

4332 = 4* (x - 6)* (x - 6)

1444= (x - 6)²

38 = x-6

x=44 inches.

The piece of cardboard needed will be 44 by 44 inches.

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HELP ASAP, WILL MARK BRAINLIEST

Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.

scatter plot titled students' data, with points plotted at 1 comma 75, 2 comma 70, 2 comma 80, 2 comma 90, 3 comma 80, 3 comma 100, 4 comma 95, and 4 comma 100, and a line of fit drawn passing through the points 0 comma 60 and 2 comma 80

Find the y-intercept of the line of fit and explain its meaning in the context of the data.

5; for each additional hour a student studies, their grade is predicted to increase by 5% on the test

10; for each additional hour a student studies, their grade is predicted to increase by 10% on the test

60; a student who studies for 0 hours is predicted to earn 60% on the test

80; a student who studies for 0 hours is predicted to earn 80% on the test

Answers

Answer:

y = 10x + 60

Step-by-step explanation:

Hope this will help on your test.

What is the main difference between parameters and arguments?

Answers

Answer: An argument is a value passed to a function. A parameter variable is a variable local to the function which receives the argument.

Step-by-step explanation:

The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.

argument:

These are employed in function call statements in order to transfer value from the calling function to the receiving function.

Also called as Actual Parameters, they are.

Each argument is always assigned to the parameter specified in the function specification during the call.

Parameter:

These are utilised in the called function's function header to obtain the value from the parameters.

When a function is called, arguments are passed as values to local variables known as parameters.

Formal Parameters is another name for them.

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Part F
The club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. The decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. Use the best measure of center for both of the original data sets to determine whether the club should increase the budget. Assume there are four weeks in a month. If you think the data is inconclusive, explain why.

Answers

To determine if the club should increase the budget for the indoor rock climbing facility, the usage data of members must be analyzed. The best measure of center to use in this scenario would be the mean, as it gives a clear average of the usage data.

How to explain the information

If the average usage of the members is at least two times per week (8 times per month), the club can consider increasing the budget.

However, if the data is inconclusive, it could mean that the sample size is too small or there is too much variability in the data, making it difficult to accurately determine the average usage. In this case, additional data or further analysis may be needed to make a clear decision.

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Katie has $500 in a savings account that earns 12% annually. How much interest will she earn in 4 years?

Answers

Answer:

below

Step-by-step explanation:

Interest = prt       p = principle = 500   r = rate in decimal = .12   t = years

            = 500 ( .12)(4) = 240 dollars

Please help me with this too please??

Answers

Answer:

tan K = 4/3

Step-by-step explanation:

Tangent is a ratio. The side marked 32 is opposite from angle K. And the side marked 24 is adjacent to (next to) angle K.

Tangent K is the ratio:

opposite/adjacent

tan K = opp/adj

fill in the given side lengths

tan K = 32/24

simplify, both numbers are divisible by 8

tan K = 4/3

PLEASE. I NEED HELP 4 3/8 x 2 4/7

Answers

Answer:

Mixed Number: 11 1/4

Decimal: 11.25

Step-by-step explanation:

Answer:

[tex] \red {\boxed{\tt{ 11\frac{14}{56} }}}[/tex]

Step-by-step explanation:

[tex] \tt4 \frac{3}{8} \times 2 \frac{4}{7} \\ \\ \tt \frac{8 \times 4 + 2}{8} \times \frac{7 \times 2 + 4}{7} \\ \\ \tt \frac{35}{8} \times \frac{18}{7} \\ \\ \tt{ \frac{35 \times 18}{8 \times 7} } \\ \\ \tt {\frac{630}{56}} \\ \\ \tt{ 11\frac{14}{56} }[/tex]

on monday, jessica told two friends a secret. on tuesday, each of those friends told the secret to two other friends. each time a student heard the secret, he or she told the secret to two other friends the following day. on what day of the week will $1023$ students know the secret?

Answers

It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 1023 = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 (1023) = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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determine whether the variable is qualitative or quantitative. explain your reasoning.

Answers

The variable "Gallons of water in a swimming pool" is a quantitative variable.

Quantitative variables are variables that are numerical and can be measured on a scale, such as height, weight, or time. In this case, the number of gallons of water in a swimming pool can be measured and can take any value within a range, such as 0 to 100,000 gallons. Therefore, "Gallons of water in a swimming pool" is a quantitative variable.

In contrast, qualitative variables are variables that describe an attribute or characteristic of a person, place, or thing, and they do not have a numerical value. Examples of qualitative variables include hair color, religious affiliation, or nationality.

"

Complete question

Determine whether the variable is qualitative or quantitative. explain your reasoning.

Variable: Gallons of water in a swimming pool

"

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Convert the following signed SWORD to a decimal value.
1101 0010 0011 0111

Answers

-8,215 in decimal form.  1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form.

The binary number 1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form. To convert this number to decimal, the first bit is the sign bit. This bit is 1, indicating that the number is negative. The remaining 14 bits represent the magnitude of the number. To convert to decimal, each bit is multiplied by two to the corresponding power of two, beginning with the least significant bit. The least significant bit is 2^0 or 1. The next bit is 2^1 or 2 and so on. The value of the number can then be determined by adding the values of each bit together. 1101 0010 0011 0111 = -1 + 2 + 8 + 16 + 32 + 64 + 512 + 1024 + 4096 = -8,215.

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Exponential Functions

Answers

The growth factor in the function is 5.

What is growth factor?

An exponential function with the form A(t) = [tex]C a^t[/tex], where a > 0

When t = 0, the function's initial value is represented by the number C, and the growth (or decay) factor is represented by the number a.

If a > 1, the function represents growth; If 0 < a < 1, the function represents decay.

Given:

y = 4 x [tex]5^7\\[/tex]

we know the general form of Exponential function

g(x) = [tex]ab^x[/tex]

where a is the initial amount

b is the growth or decay factor

and, x is the time

Now, comparing to the given function

Initial amount= 4

Growth factor = 5

time = 7

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Use the figure and m∠IJL = 0. 5 m∠JIK. In the figure, IJK is a triangle. Side IJ and KJ are congruent. Line JL is bisector of base IK. The length of IL is denoted by 3x and the length of LK is denoted by 2x + 5. The triangle JLK is right angle triangle

Answers

So the length of JL is equal to the square root of the expression in the parentheses.

Given,

Based on the information given,

The triangle JLK is a right triangle with JL being the hypotenuse.

Since the angle between IJ and JL is half the angle between JI and JK,

we know that JL is also the perpendicular bisector of IK.

By using the Pythagorean theorem, we can find the length of JL:

[tex](JL)^2 = (2x + 5)^2 + (3x)^2[/tex]

Expanding and simplifying the right side:

[tex]JL^2 = 4x^2 + 20x + 25 + 9x^2[/tex]

[tex]JL^2 = 13x^2 + 20x + 25[/tex]

Taking the square root of both sides:

[tex]JL = \sqrt{(13x^2 + 20x + 25)}[/tex]

So the length of JL is equal to the square root of the expression in the parentheses.

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A runner is training for a half marathon. On Wednesday, she ran 6 miles in 50 minutes. On Thursday, she ran 4 miles in 32 minutes. Assume she ran at a constant rate each day. On which day did she run faster? By how much faster did she run?

Answers

She ran faster on Thursday running at 7.5 mph which is 0.3 mph faster than 7.2 mph speed on Wednesday

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Speed is the ratio of total distance travelled to total time taken. It is given by the equation:

Speed = distance / time

1 hour = 60 minutes

She ran 6 miles in 50 minutes.

50 minutes = 50 min * 1 hr per 60 min = 5/6 hr

Speed on Wednesday = distance / time = 6 miles / (5/6)hr = 7.2 mph

She ran 4 miles in 32 minutes.

32 minutes = 32 min * 1 hr per 60 min = 8/15 hr

Speed on Thursday = distance / time = 4 miles / (8/15)hr = 7.5 mph

Difference in speed = 7.5 mph - 7.2 mph = 0.3 mph

She ran faster on Thursday

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Select the statement that accurately describes unimodal distribution.
A distribution in which numerous values are more frequent than other values. A distribution in which the values are distributed uniformly.
A distribution in which two distinct values are more frequent than the other values. A distribution in which one value is more frequent than other values.

Answers

The statement that accurately describes unimodal distribution is

" A distribution in which one value is more frequent than other values"

What is unimodal distribution ?

One distinct peak or most frequent value characterises a distribution as unimodal. The values start out climbing, reaching a single high, and then starting to fall. The "mode" in "unimodal" refers to the local maximum on a chart, not the most frequent value in a data set (although they are closely related).

In a graph, one peak will correspond to one mode (one common number), therefore conceptually they are the same thing. There is no list of numbers to go to when attempting to determine if a graph represents a unimodal distribution or not.

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Find the distance between (4, 9) and (7, 5)

Answers

Answer:The distance between the two points (4, 9) and (7, 5) can be calculated using the distance formula:

√((7 - 4)^2 + (5 - 9)^2) = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5.

Step-by-step explanation:

Can a linear function be an exponential function?

Answers

A linear growth function has a positive constant slope, whereas an exponential growth function has a positive rising slope.

Is it possible for a linear equation to be exponential?

Explanation and response: Exponents are not permitted in a linear equation. Because the link between the two variables does not vary at a constant pace, the exponents in an equation generate a nonlinear graph. Linear functions have a constant rate of change per unit interval. Over equal intervals, an exponential function changes by a similar ratio.

The exponential function is another sort of nonlinear function.A nonlinear function in which the independent variable equals the function’s exponent, as in… The independent variable in these functions is an exponent in the equation. Exponential functions are shown as straight lines on semilog paper. Semi-log paper contains two axes: one arithmetic and one logarithmic. The exponential constant in the equation is given by the slope of the line (m).

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The ratio of the measures of the angles in a triangle is 8:3:4. Find the measure of the largest angle.
A- 12
B- 36
C- 96
D- 192

Answers

Answer: C- 96

Step-by-step explanation:

Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in

the table.

Male

Female

Total

Projector Whiteboard Total

22 10 32

28 15 43

50 25 75

What is the approximate probability that a teacher prefers projectors and is female?

A 0. 121

B. 0. 373

OC. 0. 560

D. 0. 651

E 0. 867

Answers

Probability that a teacher prefer projector & is female candidate is =

Total Female prefer whiteboard/Total people = 28/75 = 0.373

Given that the information below:

Male people prefer projector - 22

Female people prefer projector - 28

Total people prefer projector - 50

Male people prefer Whiteboard - 10

Female people prefer whiteboard - 15

Total people prefer whiteboard - 25

Total number of Male people - 32

Tota lnumber of  Female people - 43

Total number of people - 75

Here the solution given below :

Probability that a teacher prefer projector & is female candidate is =

Total Female prefer whiteboard/Total people = 28/75 = 0.373

The correct option of this question is  B) 0.373. Explation is given above.

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find the two values that x can have if 3x² + 14 = 89

Answers

Answer:

x = 5, -5

Step-by-step explanation:

3x² + 14 = 89

​3[tex]x^{2}[/tex] = 75

[tex]x^{2}[/tex] = 25

x = 5 or -5

x^2-12X+36 using Special Cases

Answers

The factors of quadratic function x²-12x + 36 are (x -6) and (x - 6).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function:

x²-12x + 36.

To factorize the quadratic function:

x²-12x + 36,

= x²-6x -6x + 36

= x(x - 6) -6(x - 6)

= (x -6) (x - 6)

Therefore, the factors are (x -6) and (x - 6).

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