Answers
Answer:
B
Step-by-step explanation:
Should be B.
Derivative of 9X^2 is 18x because the exponent multiplied by the coefficient is 18 and the exponent minus 1 is just 1.
Derivative of 1 is 0 because derivative of any real number is 0
Derivative of y^2 is 2y dy/dx because derivative of y^2 is 2y since the exponent 2 times the coefficient 1 equals 1. And the exponent 2 minus 1 is simply 1.
BUT since it's respect to x, we have to add dy/dx right at the end of the 2y
Related Questions
Topic 21 Angles of Triangles
3.
88 1
180'
姐
5.
(8x-35)
For questions 3 and 4, find the measure of each missing angle.
11 180
ई
-64
(3x-1)
(6r-5)
6.5
642
•92⁰
m22 = 24
m21 =
m23-
m24 =
m25=
80
For questions 5 and 6, find the value of x.
6.
(i=11)
2x+20)
(11X-63)
mel-
m/2=
m23-
m24
m25-
m26-
m47 =
Answers
The value of x is 13 and the angles in the triangle are 38,69 and 73 respectively.
What is triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
From the given figure,
In the given triangle ,
The triangles are 3x - 1 , 8x - 35 and 6x - 5
The sum of all angles is always is 180 degrees.
so,
we get,
3x - 1 + 8x - 35 + 6x - 5 = 180
17x - 41 = 180
17x = 180 + 41
17x = 221
x = 221 / 17
x = 13
so,
3x - 1 = 3*13 - 1 = 38
8x - 35 = 8* 13 - 35 = 104 - 35 = 69
6x - 5 = 6*13 - 5 = 78 - 5 = 73
Therefore, The value of x is 13 and the angles in the triangle are 38,69 and 73 respectively.
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Complete the description of the piecewise function graphed below.
Answers
The required description of the given piecewise function is graphed below.
f(x) = 3 if [-5, -2]; f(x) = -3 if (-2, 3]; and f(x) = 3 if (3, 4]
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph is given in the question, as shown
f(x) = 3 if [-5, -2]
This the sub-function define between the interval [-5, -2].
f(x) = -3 if (-2, 3]
This the sub-function define between the interval (-2, 3].
f(x) = 3 if (3, 4]
This the sub-function define between the interval (3, 4].
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Why do colleges look at your standardized test scores?
Answers
Consider the function shown on the graph. Which function does the graph represent? f(x) = (x + 3)(x + 7) f(x) = (x – 3)(x – 7) f(x) = 3(x – 3)(x – 7) f(x) = 11(x + 3)(x + 7)
Answers
The solution is Option C.
The value of the function is f ( x ) = 3 ( x - 3 ) ( x - 7 )
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 3 ( x - 3 ) ( x - 7 ) be equation (1)
On simplifying the equation , we get
y = 3 ( x - 3 ) ( x - 7 )
And , the point ( 8 , 15 ) lies on the graph
Substituting the values in the equation , we get
when x = 8
y = 3 ( 8 - 3 ) ( 8 - 7 )
y = 3 ( 5 )
y = 15
Therefore , the point P ( 8 , 15 ) lies on the graph of the function
And , the graph has two zeros at (3,0) and (7,0)
Hence , the graph of the function is f ( x ) = 3 ( x - 3 ) ( x - 7 )
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Answer:
c
Step-by-step explanation:
c
EASY POINTS!
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
Answers
Answer:Can somebody also help me with this. i'm confused please hurry!
Step-by-step explanation:
let use the divisibility test and write which of the following numbers are exactly divisible by 7 a) 525 b)798 c)836 d) 3696 e) 5706
Answers
The numbers that are exactly divisible by 7 are;
a) 525
b) 798
d) 3696
How to use the rules of divisibility?To solve this, what we will do is to quote the divisibility rule for 7 here which is that;
For a 3 digit number abc to be divisible by 7 then it means that ab - 2c must be divisible by 7. Thus;
A) 525;
52 - 2(5)
= 52 - 10
= 42
42 is divisible by 7 and as such 525 is divisible by 7
B) 798;
79 - 2(8)
= 63
63 is divisible by 7 and as such 79 is divisible by 7
C) 836;
83 - 2(6)
= 83 - 12
= 71
71 is not divisible by 7 and as such 836 is not divisible by 7
D) 3696;
369 - 2(6)
= 357
35 - 2(7)
= 21
21 is divisible by 7 and as such 3696 is divisible by 7
E) 5706;
570 - 2(6)
= 558
55 - 2(8)
= 39
It's not divisible by 7 and so 5706 is not divisible by 7
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PLS HELP !
solve the inequality 
3/4 |1/3 + 2| < 6
a. x > -8 and x < -4
b. x > -30 and x < 2
c. x < -30 and x < 18
d. x > -30 and x < 18
Answers
The solutions of the equation are x < 18 and x < - 30.
Solution on inequalities:Solutions of equations are the numerical values of the variables that will satisfy the condition in the given equation. Similarly, the solutions of inequalities are the values of variables that can satisfy the given inequality.
We can solve an inequality by adding or subtracting the same integer on both sides, or we can multiply or divide by the same number on both sides until we get the value of 'x'.
Here we have
3/4 |1/3x + 2| < 6
We can solve the above equation as follows
3/4 |1/3x + 2| < 6
Multiply by 4 on both sides
=> 4 [ 3/4 |1/3x + 2| ] < 4 × 6
=> 3 |1/3x + 2| < 24
=> | x + 6| < 24
=> x + 6 < ± 24
=> x + 6 < 24 and x + 6 < - 24
Subtract - 6 on both sides
=> x + 6 - 6 < 24 - 6 and x + 6 - 6 < - 24 - 6
=> x < 18 and x < - 30
Therefore,
The solutions of the equation are x < 18 and x < - 30.
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I need help, please.
Answers
Note that where Will C. Lowe wishes to purchase an ordinary whole life insurance policy with a face value Of $50,000, his annual premium, if his age for insurance purposes is thirty-one is: $7,665.
What is premium?The insured pays a premium to the insurer on a regular basis to cover his risk. The risk is transferred from the insured to the insurer under an insurance arrangement. The premium is the amount charged by the insurer for accepting this risk.
To compute the Premium Payable, you must apply the stipulated rate against the sum insured.
Since the Sum assured is $50,000; and
The applicable rate for a 31-year-old is 15.33%
Thus the Insurance Premium for an Ordinary Whole Life Insurance Policy is:
(50,000 * 15.33)/100
= 766500/100
= $7,665.
Thus Lowe to be entitled to an annual Life Insurance cover of $50,000 must pay $ $7,665 every year.
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Write the ratio in unit rate form. There are 25 runners on a cross country team. 5 of the runners are boys. Write the unit rate comparing all runners to boys.
Answers
The ratio the unit rate comparing all runners to boys is 5:1.
What is the unit rate formula?How to Calculate Unit Rate The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are travelled in 5.5 hours.
What does a typical unit rate mean?A unique form of ratio called a unit rate has a denominator (second number) of one. You are comparing a quantity to one when using a unit rate. Miles per gallon, price per pound, and pay rate per hour are a few examples of popular unit rates.
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fraction that is equivalent to 3/9 and has a denominator of 3."
Answers
, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3
What is a fraction in math?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given here: The fraction 3/9
Now we can simplify the fraction further by dividing both the numerator and denominator by 3
let p=3/9
then p=3/3 / 9/3
p= 1/3
Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3
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Two different workers are producing a specialized part for a machine. The number of parts produced per hour by the workers are as follows:
Worker A: 5, 4, 4, 6, 7, 5, 6, 3
Worker B: 4, 8, 1, 9, 2, 9, 4, 3
Both workers averaged 5 parts per hour. Which worker has the higher variance and standard deviation?
Answers
The worker B has a higher variance of σ² = 9 and standard deviation of 3
What is Standard Deviation?The standard deviation refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Standard Deviation is calculated by
Each number's deviation from the mean must be determined, and then squared.
Next, add up all of these values.
Divide the result by the quantity of numbers.
Then calculate its square root.
Given data ,
Let the data of worker A = { 5, 4, 4, 6, 7, 5, 6, 3 }
Let the data of worker B = { 4, 8, 1, 9, 2, 9, 4, 3 }
Now , the mean of worker A = 5
The mean of worker B = 5
So , the standard deviation of worker A is calculated as
The sum of the difference of the data from mean is
SD = √ ( 5 - 5 )² + ( 5 - 4 )² + ( 5 - 4 )² + ( 5 - 6 )² + ( 5 - 7 )² + ( 5 - 5 )² + ( 5 - 6)² + ( 5 - 3 )² / 8
On simplifying the equation , we get
SD = √ ( 12/8 )
SD = √1.5
Standard deviation σ = 1.2247449
And , the variance of worker A is σ² = 1.5
Now ,
The standard deviation of worker B is calculated as
The sum of the difference of the data from mean is
SD = √ ( 5 - 4 )² + ( 5 - 8 )² + ( 5 - 1 )² + ( 5 - 9 )² + ( 5 - 2 )² + ( 5 - 9 )² + ( 5 - 4)² + ( 5 - 3 )² / 8
On simplifying the equation , we get
SD = √ ( 72/8 )
SD = √9
Standard deviation σ = 3
And , the variance of worker A is σ² = 9
Hence , the worker B has higher standard deviation
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can someone solve this with work for 100 points?
Answers
a) The continuous growth rate can be calculated using the formula:
r = (ln(B) - ln(A)) / t
where r is the continuous growth rate, A is the initial count (330), B is the count after 6 hours (1340), and t is the time elapsed (6 hours).
Substituting the values:
r = (ln(1340) - ln(330)) / 6
r = 0.3907
b) The model for the bacteria colony can be written as:
B = A * e^(rt)
where B is the number of bacteria after time t, A is the initial count (330), and e is the base of the natural logarithm.
c) To find the number of bacteria after 16 hours, substitute t = 16 and the values of A and r from above:
B = 330 * e^(0.3907 * 16)
B = 9581.57
The number of bacteria after 16 hours is approximately 9582.
The vertices of a right-angled triangle are A(1, 0), B(7, 0) and C(1,8). Plot the points A, B and C on a sheet of graph paper. Hence, find the area of triangle ABC. (05)
Answers
Answer:24 sq. units
Step-by-step explanation:
The length of the base is (7-1)= 6 units. The height is 8 units.
Area =1/2*l*b=24
Please help. I don’t know how to work it out and need somebody to show me
Answers
The distance of AB is 117.992 meters.
What is Law of Sines?Law of sines is a law in trigonometry which states that the ratios of the angle to the opposite side of a triangle are equal.
For triangle ABC,
sin A / a = sin B / b = sin C / c
where a, b and c are the sides opposite to the angles A, B and C respectively.
Here,
∠B = 112° 10' = 112° + 0.167° = 112.167°
∠C = 15° 20' = 15° + 0.333° = 15.333°
By the angle sum property of triangle,
∠A = 180° - (∠B + ∠C)
∠A = 180° - (112.167° + 15.333°)
= 52.5°
Using law of sines,
sin A / BC = sin C / AB
sin (52.5°) / 354 = sin (15.333°) / AB
AB = [354 × sin (15.333°)] / [sin (52.5°)]
AB = [354 × 0.264] / [0.793]
AB = 117.992 meters
Hence the distance across the river is 117.992 meters.
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If P is the circumcenter of ABC, AD = 7x - 6; DB = 5x + 8, and PC = 35, find DP.
Answers
If P is the circumcenter of ABC, the DP is 13.27 units.
What is the value of DP?
The value of DP is calculated by applying the following method as shown below.
Based on the given figure, D is the midpoint of AB
Line AD = BD, so line DP is perpendicular to line AB and the following equation can be formed to determine value of x.
7x - 6 = 5x + 8
2x = 14
x = 14/2
x = 7
DB = 7x - 6
DB = (7 x 7 ) - 6 = 43
Let PC = 45
PC = PB = 45
Apply Pythagoras theorem to determine DP;
DP² = PB² - DB²
DP² = 45² - 43²
DP² = 176
DP = √176
DP = 13.27 units
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|60| ___ |-60|
>
=
<
can you help me about that problem
Answers
Answer:
the correct answer to this equation would be: >
Someone help me with this math problem.
Answers
From the graph, she walked at a rate of [tex]\frac{25-10}{5-2}=5 \text{ ft/s}[/tex].
Therefore, she walked faster on her next three walks compared to her first two walks.
The distance between Jenna's school and the park is 1 4/5 miles. Jenna leaves the school and walks 7/10 mile toward the park and stops for a break. How far, in miles, is Jenna from the park when she stops?
Answers
The distance between where Jenna stopped and the park is 1 1/10 miles
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.
The word problems are interpreted into mathematics equation.
The distance between Jena's school and the park is 1⅘ miles = 9/5 miles
He stopped after walking for 7/10 miles .
The distance left to the park from where he stopped = 9/5 - 7/10
= (18-7)/10
= 11/10 miles
= 1 1/10 miles
Therefore Jena is 1 1/10 miles away from the park when she stopped.
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20.
Solve the equation. Round the result to the nearest hundredth.
-15x + 73 = 26
21.
Solve the equation. Round the result to the nearest hundredth.
1.5x + 7.4 = -1.8x - 6.9
22.
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
23.
Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
6.2x + 4.5 = 3.8x + 7.9
24.
Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
4.603y - 1.842 = -3.651y
25.
Find the percent. Round to the nearest whole percent.
159 people in favor out of 350 people surveyed.
Answers
The solution to the linear equations are;
20. x = 3. 200
21. x = 4. 333
22. x = 11. 438
23. x = 1.417
24. y = 0. 223
25. 45%
How to simply the expressionFrom the information given, we have to solve the linear equations, we have;
20. -15x + 73 = 26
collect like terms
-15x = 26 - 74
-15x = -48
Make 'x' the subject
x = 3. 200
21. 1.5x + 7.4 = -1.8x - 6.9
collect the like terms
3.3x = 14.3
Make 'x' the subject
x = 4. 333
22. 14.1 - 0.3x = 1.3x - 4.2
collect like terms
1.6x = 18.3
Make 'x' the subject
x = 11. 438
23. 6.2x + 4.5 = 3.8x + 7.9
collect like terms
2.4x = 3.4
Make 'x' the subject
x = 1.417
24. 4.603y - 1.842 = -3.651y
collect like terms
8.254y = 1.842
Make 'y' the subject
y = 0. 223
25. The percentage is given as;
159/350 × 100/1
45%
Hence, the values are x = 3. 200, x = 11. 438, x = 1.417, y = 0. 223 and 45%
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DIRECTIONS: Use this information to answer Parts A and B. −5=−y−3x Question 1 Part A Write the equation in slope-intercept form. Enter the correct equation in the box.
Answers
Slope intercept form of equation is y = -3x + 5.
What is slope intercept form of equation?The graph of the linear equation y = mx + c is a line with m as slope and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
Given equation,
-5 = -y - 3x
Standard Slope intercept form of equation y = mx + c
Given equation can be written as
y = -3x + 5
Hence, y = -3x + 5 is the slope intercept form of given equation
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The required equation in the slope-intercept form is given as y = -3x + 5.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The equation of line passes through points (x, y) and has a slope and intercept of m and c respectively is given as,
y = mx + c
The above expression is the standard slope intercept form of a line.
Trasform the given equation,
-5 = -y - 3x
y - 5 = -3x
y = -3x + 5
Thus, the required equation in the slope-intercept form is given as y = -3x + 5.
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How to do variable expression
Answers
Variables expression is done as given below.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Variables are the values for a specific item.
Example:
Apple cost = $4 per kg
Banana cost = $6 per kg
Total cost = $60
To find the number of kg for each item we have to consider x as the number of kg of apple and y as the number of kg of banana.
Here,
x and y are the variables.
Now,
The expression with the variables x and y.
4x + 6y = 60
Thus,
The expression with variables is given above.
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The product of 2 and the difference between 1 is 14
Answers
The expression from the statement is 2x - 1 = 14
How to determine the expressionFrom the question, we have the following parameters that can be used in our computation:
The product of 2 and the difference between 1 is 14
Represent the variable with x
So, we have
2x and the difference between 1 is 14
When the difference is expressed as an expression, we have
2x - 1 is 14
So, we have
2x - 1 = 14
Hence, the expression is 2x - 1 = 14
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What is 70% of 90 as a number thank you
Answers
Answer:
70 percent of what number is 90?
90 is 70% of 128.57
Steps to solve "90 is 70 percent of what number?"
We have, 70% × x = 90
or,
70
100
× x = 90
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 90 ×
100
70
x = 128.57
If you are using a calculator, simply enter 90×100÷70, which will give you the answer.
Answer: 70 % of 90 = 63
Step-by-step explanation:
70 % x 90.
= (70/100) x 90
= (70*90)/100
= 6300/100
= 63
what is the slope of the line passing through the points (-3, 4) and (2, -1)
Answers
Answer:
-1
Step-by-step explanation:
You want the slope of the line through the points (-3, 4) and (2, -1).
SlopeThe slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
Using the given points, we find the slope to be ...
m = (-1 -4)/(2 -(-3)) = -5/5 = -1
The slope of the line through the given points is -1.
Tell me everything you know about circles. Be as detailed as possible and write in complete sentences in paragraph form. Some examples you can expand on would be parts of circles, how to find the arc measure in relation to a given angle, types of arcs, etc.
Answers
Answer:
Circles are round shapes that doesn't have points or perhaps angles it shape is considered no a point shape thanks to it having no points ofc or can be used in measurements,yards,etc
inverse function of f(x) = (x^2+1)^2 step by step
Answers
The inverse function of f(x) = (x^2+1)^2 step by step is given below.
The inverse of f(x) is √(√x - 1).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x² + 1)²
The steps for finding the inverse of a function.
Step 1:
Keep y = f(x)
y = (x² + 1)²
Step 2:
Interchange x and y.
x = (y² + 1)²
Step 3:
Solve for y.
x = (y² + 1)²
Square root on both sides.
√x = y² + 1
(√x - 1) = y²
Square root on both sides.
y = √(√x - 1)
Thus,
The inverse of f(x) is √(√x - 1).
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You want to buy a pet iguana. You already have $12 and plan to save $9 per week.
A. If w represents the number of weeks until you enough Mooney to buy the iguana, what equation represents your plan to afford the iguana?
B. Explain how you could set up an equation to find the amount of money you should save each week to buy the iguana in 6 weeks.
Answers
A) An equation to represents your plan to afford the iguana is,
⇒ y = $12 + $9w
Where, y is total money after w weeks.
B) The amount of money you should save each week to buy the iguana in 6 weeks is, $66.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
You want to buy a pet iguana. You already have $12 and plan to save $9 per week.
Let w represents the number of weeks until you enough Money to buy the iguana.
Hence, An equation to represents your plan to afford the iguana is,
⇒ y = $12 + $9w
Where, y is total money after w weeks.
And, The amount of money you should save each week to buy the iguana in 6 weeks is,
⇒ y = $12 + $9w
⇒ y = $12 + $9 × 6
⇒ y = $12 + $54
⇒ y = $66
Thus, A) An equation to represents your plan to afford the iguana is,
⇒ y = $12 + $9w
Where, y is total money after w weeks.
B) The amount of money you should save each week to buy the iguana in 6 weeks is, $66.
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Original Price: $9.99
Discount: 70%
Answers
Answer:
The original price of the item was $9.99 and it was discounted by 70%, which means the new price is $2.99.
Step-by-step explanation:
2x-4y=14 find the ordered pair
Answers
The coordinate points on the graph line of the function given represent the ordered pair that satisfy the equation.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is a function as -
2x - 4y = 14
The given equation is -
2x - 4y = 14
Rewriting the function, we get -
4y = 2x - 14
y = (1/2)x - (7/2)
Plot the graph of the above function. All the coordinate points on the line represent the ordered pair that satisfy the equation.
Therefore, the coordinate points on the graph line of the function given represent the ordered pair that satisfy the equation.
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3. The marginal cost of producing a certain product is GHe 12 per unit, while the cost to produce
100units is GH¢1,500.
a) Find the cost function, C(x), given that it is linear.
b) Find the average cost per item to produce 50 units and 300 units.
Answers
Answer:
a) GH¢15x
b) GH¢15
Step-by-step explanation:
a) To find the cost function, C(x), given that it is linear, we need to find the slope and y-intercept of the line that represents the cost to produce x units of the product. We can use the point-slope form of a line to find the cost function: C(x) = mx + b, where m is the slope and b is the y-intercept.
We have two points: (100, GH¢1,500) and (0, GH¢0), which represents the cost to produce 100 units and 0 units, respectively. The slope can be found by dividing the change in y by the change in x:
m = (GH¢1,500 - GH¢0) / (100 - 0) = GH¢15
The y-intercept can be found by plugging in one of the points and solving for b:
GH¢1,500 = (GH¢15)(100) + b
GH¢1,500 = GH¢1,500 + b
b = GH¢0
So the cost function is C(x) = GH¢15x + GH¢0.
b) To find the average cost per item to produce 50 units and 300 units, we need to divide the total cost by the number of units produced.
For 50 units:
C(50) = GH¢15 * 50 + GH¢0 = GH¢750
Average cost = C(50) / 50 = GH¢15
For 300 units:
C(300) = GH¢15 * 300 + GH¢0 = GH¢4,500
Average cost = C(300) / 300 = GH¢15