April rewrote a quadratic function in vertex form.
h(x) = 5x2 – 30x + 30
Step 1: h(x) = 5(x2 - 6x+ + 30
Step 2: h(x) = 5(x2 - 6x + 9) + 30 – 45
Step 3: h(x) = 5(x - 3)2 + 15.
April said that the vertex is (3, 15). Is April correct?

Answer:

I hope this helps (๑¯◡¯๑)

To find Sandy's allowance, we use the given information to set up an equation. After solving it, we determine that Sandy's weekly allowance is $10.

To determine Sandy's weekly allowance, we need to work backward from the information given. We know that she ended with $13 after spending half of her allowance on movies and earning an additional $8 from washing the car. Let's let the variable A represent Sandy's allowance. According to the problem, Sandy spent A/2 on movies, and when she added the $8 she earned, she had $13.

We can set up the equation as follows:

Now, we solve for A to find the allowance:

So, Sandy's weekly allowance is $10.

x-intercept(s):  (1/2, 0) or (0.5, 0)

y-intercept(s):  (0,  −2)

Answer:

80 and 85

Step-by-step explanation:

Let a and b be those numbers

a*b = 6800

a - b = 5

Use the substitution method.

a = 5 + b

(5 + b)*b = 6800

5b + b*b = 6800

bb + 5b - 6800 = 0

b = -5/2  +   root(25 - 4*1*(-6800)) /2

b = -5/2 +  165/2

b = 80

or   b = - 85

a - b = 5

a - 80 = 5

a = 85

Answer:

2401

Step-by-step explanation:

Answer:

eight thousand four hundred and nine tenths

Hope this helps!

Answer:  la respuesta es 314,6 cm

Step-by-step explanation:

V = 1/2 x longitud x anchura x altu

 v = 1/2 x 12,1 cm x 8 cm x 6,5 cm

= 0,5  x 12,1 cm x 8 cm x 6,5 cm

= 314,6 cm            

Answer:

[tex]≈

629.2 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈

629.2 {cm}^{3}

[/tex]

Answer:

y=-2

Step-by-step explanation:

-7y+2=16

     -2  -2  

-7y=14

_____    <dividing line

-7    -7

y=-2

Answer: 4.01 x 107

Step-by-step explanation:

Answer:

4.01x10^7=40100000

Answer:

Step-by-step explanation:

We want to isolate m in the formula KE=0.5mv^2.  To do this, divide both sides by 0.5v^2:

               KE

m = ----------------------

                 v^2

Answer:

Function: y= 15x + 50

or f(x)=15x+50

Answer:

f(x)=15x+50

Step-by-step explanation:

since her grandmother gave her $50 once you just add it to the problem, and she's collecting $15 every week meaning 15x.

Answer:

1            0.25

2            0.50

3            0.75

5            1.25

7            1.75

9            2.25

11            2.75

12           3.00

t=0.25s

Answer:

The answer is that each book costs 26 dollars

Step-by-step explanation:

First we subtract 199 dollar from 7 =182

Then we divide 182 dollars to the seven book in order to find a unit =182/7=26

To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.

Answer:

a = 3

Step-by-step explanation:

Simply substitute 2 for x and y for 1 and solve.

This will get you 2a + 2 = 8

Then simplifying, 2a = 6.

a = 3.

The value of a and the coefficient of x is 3.

Substitution means putting numbers in place of letters to calculate the value of an expression .

According to the given question.

We have a equation.

ax + 2y = 8.

Also, the solution to the equation is (2, 1).

So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.

⇒ [tex]a(2) + 2(1) = 8[/tex]

⇒ [tex]2a + 2 = 8[/tex]

⇒ [tex]2a = 8-2[/tex]   ( subtracting 2 from both the sides)

⇒ [tex]2a = 6[/tex]

⇒ [tex]a = \frac{6}{2}[/tex]    (dividing both the sides by 2)

⇒ [tex]a = 3[/tex]

Hence, the value of a and the coefficient of x is 3.

Find out more information about substitution here:

https://brainly.com/question/10852714

#SPJ2

Answer:

A =One-half(2πr)(r)

Step-by-step explanation:

i got it right!

The approximate representation of the area of a parallelogram like figure is as follows:

The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.

Circumference of a circle is the perimeter of the circle.

Area of parallelogram = bh

Where

b = base

h = height

Therefore,

learn more on area here: https://brainly.com/question/843063

Answer:

10

Step-by-step explanation:

just add

Answer:

When xy are zero multiply by 1.33 and we will find y only if x =70

So the linear function will be

y =  90/0 = 0    =   y = x/0

y =   90/2 = 2    =   y = x/2

y =    90/4 = 4   =  y = x/4

y =    90/8 = 6   = y = x/8

x=90  y = 60 when both = 0

Or we can reverse and do x2+2 and call train f(x) and train = x = 90.

Step-by-step explanation:

70/90 = 0.77  =  70 x 1.33 = 90 as a fraction percentage 77%

60/45= 1.33  =  70 x 1.33 = 90 / 2 = 45   ( and as 22.5 as a fraction percentage 133/3%)

50/22.5=2.22  =  70 x 1.33 = 90/4 = 22.5 as a fraction percentage  222.2%

40/11.25=3.55 =  70 x 1.33 = 90 /8 = 11.25  as a fraction percentage= 355.5%

Answer:

b 15

Step-by-step explanation:

The range is the difference between the largest and smallest number.

range = biggest − smallest = 19 − 4 = 15

Answer:

narrower

Step-by-step explanation:

Answer:

A. 28

Step-by-step explanation:

95+57=152

180-152=28  (180 is sum of triangle, in order to find the angle measurement u have to subtract).

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

[tex]D^{2} = L^{2} + L^{2}[/tex]

Solving further, we have

[tex]D^{2} = 2L^{2}[/tex]

Divide both sides by 2

[tex]\frac{D^{2}}{2} = \frac{2L^{2}}{2}[/tex]

[tex]\frac{D^{2}}{2} = L^2[/tex]

Take Square root of both sides

[tex]\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}[/tex]

[tex]\sqrt{\frac{D^{2}}{2}} = L[/tex]

Reorder

[tex]L = \sqrt{\frac{D^{2}}{2}}[/tex]

Now, the value of L can be calculated by substituting 12.73 for D

[tex]L = \sqrt{\frac{12.73^{2}}{2}}[/tex]

[tex]L = \sqrt{\frac{162.0529}{2}}[/tex]

[tex]L = \sqrt{{81.02645}[/tex]

[tex]L = 9.001469325[/tex]

[tex]L = 9.0015[/tex] (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

Answer: 7.7%

Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.

To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.

I just rounded it to the nearest tenth, you can change it how you need to.

Final answer:

The percent of increase in Angelica's height over one year, from 52 inches to 56 inches, is approximately 7.69%.

Explanation:

The student is asking how to calculate the percent of increase in height over a one year period. We start by finding the initial and final measurements, then calculate the increase and convert it to a percentage.

Angelica's initial height is 52 inches, and her final height after one year is 56 inches. The increase in height is 56 inches - 52 inches, which equals 4 inches. To find the percent increase, use the formula:

Percent increase= (Increase / Original amount) x 100

So, the calculation is

Percent increase= (4 / 52) x 100 = 7.69%

Therefore, the percent increase in Angelica's height is approximately 7.69%.

Answer:

-3/4 or -0.75

Step-by-step explanation:

You go down 6, over 8.

6/8=3/4

It's a negative slope, so the rate of change is -3/4 or -0.75.

Answer:

30%

Step-by-step explanation:

It has to be less than 33 (1/3 of the pie chart), but not too much, concluding it is 30%, or c

:3 1st

Answer:

C (30%)

Step-by-step explanation:

There are 30 total gallons of ice cream, and 9 strawberry. That's 9/30, which simplifies to 3/10, and then 30%

Hope this helps!!

brainliest?

Answer:

900

Step-by-step explanation:

To get your answer, you can just multiply 20 seconds by 3 to get 60 seconds, which is a minute.

Since whatever you do on one side you have to do to the other, multiply 300 mi by 3 as well. That would get you 900.

Answer:

C

Step-by-step explanation:

Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.

You add 5.12 and 25.60 because it was a tip, they gave that much more.  

So 20% which is 5.12.  

25.60 + 5.12 = 30.72

since there were 3 people in total you just divide

30.72 / 3

= 10.24

Answer:

25.13

Step-by-step explanation:

C=2πr

C=2 x 3.14 x 4

C= 25.13

Answer:

50.24 m^2

Step-by-step explanation:

Area of a circle = Pi r^2

Pi = 3.14

Diameter = 8 m

Radius r = diameter/2 = 8/2

= 4

Therefore

Area = 3.14 x 4^2

= 3.14 x 4 x 4

= 50.24 m^2

Answer:

it's will have happened

Step-by-step explanation:

I got it right