Jeanne needed to buy 258 yards of fabric, if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?

Given:

The graphs of two parabolas.

To find:

The equation of the quadratic function with given graphs.

Solution:

(a)

The factor form of a parabola is

[tex]y=a(x-b)(x-c)[/tex]

Where, a is a constant, b and c are x-intercepts.

From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.

[tex]y=a(x-(-1))(x-3)[/tex]

[tex]y=a(x+1)(x-3)[/tex]            ...(i)

Put x=0 and y=3 because the y-intercept is (0,3).

[tex]3=a(0+1)(0-3)[/tex]

[tex]3=-3a[/tex]

[tex]\dfrac{3}{-3}=a[/tex]

[tex]-1=a[/tex]

Putting a=-1 in (i), we get

[tex]y=-1(x+1)(x-3)[/tex]

[tex]y=-(x+1)(x-3)[/tex]

Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].

(b)

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

Where, a is a constant and (h,k) is vertex.

From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]            ...(ii)

Put x=0 and y=8 because the y-intercept is (0,8).

[tex]8=a(0-2)^2[/tex]

[tex]8=4a[/tex]

[tex]\dfrac{8}{4}=a[/tex]

[tex]2=a[/tex]

Putting a=2 in (ii), we get

[tex]y=2(x-2)^2[/tex]

Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].

Answer:

a

Step-by-step explanation:

6^2+8^2=100

sqrt of 100 = 10

Answer:

A. 10

Step-by-step explanation:

Answer:

try x= 4z/y

Step-by-step explanation:

Answer:

2nd choice

Step-by-step explanation:

1. dilation factor: 1/2

2. rotation: about origin anti-clockwise 180°

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the statement which is correct for triangle ABC and triangle A'B'C'.

Let us find the coordinates of triangle ABC

A=(2, 2), B=(2, 10) and C=(8, 12)

After transformation the triangle A'B'C'.

Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)

The scale factor is 1/2.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.

Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

Divide any number by 9. Then then ur answer times 1 then times 8.

Example 9:9=1 1 and 8

36:9=4. 4 and 32

Answer:

√x+2=2

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful afternoon!!!!!

Answer:

c = 16

Explanation:

Do it on a calculator it'll be correct

Answer:

6/8

Step-by-step explanation:

You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.

Answer:

6/8

Step-by-step explanation:

you multiply both numbers by 2

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

15% equals 0.15 so her total would be The price of one meal plus 0.15 or 1.15s.

Answer:

-28

Step-by-step explanation:

Answer:

s=[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

[tex]x > \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]12x - 5 > - 2[/tex]

Lets add +5 in both the sides.

[tex] = > 12x - 5 + 5 > - 2 + 5[/tex]

[tex] = > 12x > 3[/tex]

Now lets divide 12 on both the sides.

[tex] = > \frac{12x}{12} > \frac{3}{12} [/tex]

[tex] = > x > \frac{1}{4} [/tex]

Answer:

y=25x+4

Step-by-step explanation:

Answer:

a=12 b= 19200

Step-by-step explanation:

pattern is adding 6

so the 11th would be 67

Answer:

5.8

Step-by-step explanation:

8 - 3 = 5

29/5 = 5.8

Answer:

14.25 decimal para saken

Answer:

y=(y\x - 10j\x) x+j•10

Step-by-step explanation:

its up there

Answer:

29/90

Step-by-step explanation:

0.32     x10

3.22     -0.32

2.9       /9

2.9/9    x10/10

29/90

Answer:

29/90

Step-by-step explanation:

here if

f=0.32222....... — 1

10f=3.2222...... —2

now eq2-eq1

we get

9f=2.9

f=2.9/9

f=29/90

Answer:

Circumference=diameter x pie

=(17.5×2)×pi

=35pi

Answer:

35π cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 17.5 = 35π cm

{2l+2w=62}

1-2w=1

I don't know the answer its not in my syllabus nor I was thought this one

Answer:

1/16

Step-by-step explanation:

(1/4)^2=16

Answer:

6/5

Step-by-step explanation:

1 would equal 5/5 so add another 1 to get 6/5

Answer:

There will be 20 gallons in this jug after 5 minutes.

Step-by-step explanation:

You are simply adding 3 to each number.

Starts out with 2

+3=5

+3=8

+3=11

+3=14

+3=17

+3=20

Answer:

After 5 minutes there will be 14 gallons of water.

Step-by-step explanation:

The gallons go up by 3. 2+3= 5+3= 8+3= 11+3= 14