Mathematics College

Am I right??? Please help me

Answers

Answer 1

Function: y = 2x²-5

Find y-intercept:

y = 2(0)²-5

y = -5

Find x-intercept:

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

Answer 2

Answer:

Vertex and y-intercept (0, -5)

x-intercepts (-1.58, 0) (1.58, 0)

opens upwards

other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)

Step-by-step explanation:

The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.

The y-intercept is when x = 0:

f(0) = 2(0)² - 5

= - 5

Therefore, the y-intercept is at (0, -5)

We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]

The x-intercepts are when f(x) = 0:

[tex]\implies 2x^2 - 5 = 0[/tex]

[tex]\implies x^2 =\dfrac52[/tex]

[tex]\implies x=\pm1.58113883...[/tex]

As the leading coefficient is positive, the parabola opens upwards.

Finally, input values -2 ≤ x ≤ 2 to find plot points:

(-2, 3)

(-1, -3)

(0, -5)

(1, -3)

(2, 3)

Related Questions

Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: P = P∨0 (1 + r/n)^n

Answers

Answer:

This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).

A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.

Step-by-step explanation:

Each 14 inch on a map represents an actual length of 18 of a mile.

What length on the map represents 1 mile?

132 inch

38 inches

2 inches

4 inches

Answers

Answer:

38 inch

Step-by-step explanation:

A={2,4,6,…,18,20} then n(A)=

Answers

Answer:

n(A) = 10

Step-by-step explanation:

The number of elements in the set of even numbers from 2 to 20 is 10.

n(A) = 10

_____

Additional comment

Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.

Help picture below problem 16

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

*look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

[tex]?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

Please help I will give brainliest

Answers

Answer:

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

hope it helppsss

trying not to dieT-T

The percentage price of an article is 30000 and its price after the discount is 27600. What will the percentage of the discount be ?

Answers

the answer for this would be 20 percent

Can someone please help me

Answers

Answer:

BCDE

Step-by-step explanation:

Which method do you prefer when comparing numbers written in scientific notation? Explain why you prefer this method using examples. PLS HURRY

Answers

Answer:

If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.

Step-by-step explanation:

The general form in scientific notation is

z.z ×10^z

where z is integer

So while comaparing

We usually compare z.z rounded to similar significant numbers .

In rest case

we use power of 10 ,the number which has higher that's bigger.

Example

1.27×10⁴1.24×10⁴

First one is bigger

What is 12.985 rounded to 2 decimal place?

Answers

12.985 rounded to 2 decimal places is 12.99

Answer:

Step-by-step explanation:

Step 1:

Identify the digit in the hundredths place, as it is the 2nd decimal place. The 8 is the digit in the hundredths place.

Step 2:

Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.

Step 3:

The new number is 12.99 rounded to the 2nd decimal place.

hey guy can you please explain this to me

Answers

Answer:

D) 2

Step-by-step explanation:

it think it's D because the size of the triangle was doubled

2 was matched to 4 and

1 was matched to 2

Write these numbers in order of size. Start with the smallest number. 3007 4435 399 4011 3333

Answers

Hey there!

Let's write all these numbers in order.

First, all numbers here are 4-digit numbers, except 1 (it's a 3-digit number)

So the smallest number is the 3-digit number.

399

Now, what's next?

let's check the thousands place (the first digit in the 4-digit numbers)

We see 3, 3, 4 and 4.

3 is smaller than 4.

Now we have 2 numbers: 3007 and 3333.

Well, which one's smaller? that's right, 3007.

So we have

399, 3007.

The third number is 3333 (the thousands place is 3)

so we have

399, 3007, 3333

Now, we have 2 numbers left, and they have a 4 in their thousands place.

The numbers are: 4011 and 4435.

Well, which one's smaller? that's right, 4011, and the greatest number is 4435.

Hence, we have

[tex]\boxed{\boxed{\bold{399,~3007,~3333,~4011,~4435}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

F(4g2-9)=n i need to solve for f

Answers

Answer:

Step-by-step explanation:

Please help me find the area of the shape

Answers

Answer: the area of the octagon is 52.8 inches.

Step-by-step explanation:

1. find the equation to find the area of the given triangle:

(1/2 * base * height)

2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6

3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = 52.8

hope this helped! ♡ -moni

Which choice correctly compares the two numbers? A) 2.41 > 2.37 B) 2.75 < 2.24 9 2.75 > 3.24 D) 3.48 < 2.47

Answers

Answer:

A 2.41 > 2.37

Step-by-step explanation:

2.41 is greater than 2.37

Answer:

Step-by-step explanation:

others arent true

Help me pwes I need it.

Answers

Answer:

1/10

when you do the LCM you get 70

divide each fraction by 70 and you will get the least to be a tenth

may anyone please help me with this too , thank you so much

Answers

7) 7bc cubed

8) 6x to the power 8

What's the area of this figure?

Answers

Answer:

58.5

Step-by-step explanation:

the area for a square is l x l so 9

the area for a rectangle is l x w so 33

the area for a rectangle is l x w /2 so 33 /2 = 16,5

so after adding them all up you get 58.5

5
5
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
3
2
+
(3, 1)
-5 -4 -3
2
=
3
4
5
х
-11 2
| (0, 1)
-2.
O y=x+3
O y=x+2
O y=-*x+3
O y=-x+2
-3
-5

Answers

Answer:

Step-by-step explanation:

The solution is, the slope-intercept form equation is, y = -4x -6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The given segment has a rise if 1 for a run of 4, so a slope of ...

m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

(-1, -2) +(1, -4) = (0, -6) . . . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

y = mx +b

y = -4x -6

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ7

I will mark the first person to answer my question brainliest

Answers

Answer:

1. The length is longer.

2. The length is longer.

Step-by-step explanation:

1. 7/10 = 0.70 > 0.67. Here, the length is greater than the width.

2. 9/10 of a yard is .9 * 36, or 32.4 inches. Here, the length is greater than the width.

Algebra 2 work, I need help !
(picture below)

Answers

HEY if you remove it you will get a curse

50/100 in tenth fraction and decimal form

Answers

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

which one is greater 7 pounds or 70 ounces

Answers

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

You should be able to figure out the answer

For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now

Answers

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

How to solve an exponential function

Let y represent the population after x years.

Given that the growth rate is 4.5% per year and the current population is 1500.

Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045

y = 1500(1.045)ˣ

After 6 years:

y = 1500(1.045)⁶ = 1953

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

Find out more on exponential function at: https://brainly.com/question/12940982

Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.

What is the measure of angle C?

25°
30°
60°
75°

Answers

Answer: 75⁰°

Answer: 75⁰°Step-by-step explanation:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides

40 POINTS+BRAINILYIEST
What is the volume of the solid figure?

The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.

Answers

Answer:

A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).

Step-by-step explanation:

Hope this helps....

Answer:

i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A

Step-by-step explanation:

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

a. y = 7.5x + 1

b. y intercept is 1, which means the puppy weighed 1 pound at birth or at 0 months old.

c. slope is 7.5 which means puppy gained 7.5 pounds a month for the first 6 months.

Step-by-step explanation:

To find slope: use rise/run formula (y2 - y1 / x2 - x1) which is,
(23.5 - 16) / (3 - 2) = 7.5

To find y intercept: Plug in y, x and b in the slope intercept formula (y=mx+b). choose any one of the pairs from the table. i chose 2 and 16. plug it in and the formula would now look like 16 = 7.5(2) + b .

solve for b
16 = 15 + b (multiply 7.5 and 2)
1 = b (subtract 15 from 16)
y intercept is 1

Translate the sentence into an equation.

Eight times the sum of a number and 4 is 3.

Use the variable x for the unknown number.

Answers

Answer:

8(x+4)=3

Step-by-step explanation:

the answer is this!

8(x+4)=3
8x+32=3
x=(3-32)/8
x=-29/8

It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?

Answers

Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

The average age for the 62 observed milk cows as they first produced

Answers

Answer:

Step-by-step explanation:

as i thing that brother thank you

The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3
inches from the vertex of the pyramid. If the height of the pyramid is Sinches, what is the area of the rectangular base?

Answers

The rectangular base area is the space the rectangular base occupies

The area of the rectangular base is 60 square inches

How to determine the area of the rectangular base?

The diagram is not given. So, I will apply provide a general solution.

Using the similar shapes concept, the area of the rectangular base can be represented as:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Read more about areas at:

https://brainly.com/question/24487155

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