Write a rule for the following graph

Answer:

Step-by-step explanation:

I would use the Horner method.

f(x) = x³ – 3x² – 10x + 24

f(2) = 2³ - 3·2² - 10·2 +24 = 0   ⇒ x=2 is the root of function

So:

    |   1   | -3   |  -10  |  24 |

2  |   1   |  -1   |  -12  |  0   |

therefore:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x² – x – 12)

For  x² – x – 12:

[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]

It means:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x – 4)(x + 3)

Answer:

C

Step-by-step explanation:

Answer:

C.- x = 80

Step-by-step explanation:

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

v=24

Step-by-step explanation:

AC=37

BC=5X+6

AB=2X + 3

2x + 3 + 5x + 6 = 37

7x + 9 = 37

7x = 28

x = 4

BC = 5(4) + 6

BC = 26

Answer = BC = 26

Answer:

Im pretty sure the answer in $8.70

Step-by-step explanation:

All you have to do is 382 divided by 44

Answer:

about 0.12 cents dollars or 12 cents.

Step-by-step explanation:

I divided 44 and 382. Hope this helps!

Answer:

I'm pretty sure its A.

Step-by-step explanation:

There would be mirrors reflecting off of each other to get the light to reflect him in a different place

Answer: 9.5

Step-by-step explanation: I got it right in my test :)

Answer:

9.5 ft would be the closest to the length of the ramp in feet.

Step-by-step explanation:

I had the exact same question on my test, I got it correct :)

Answer:

For solving x         x= -24+y/4  For solving Y                y=−24−4x

Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is  

y=−24−4x

Answer:

B

Step-by-step explanation:

The intersection of both a solid figure and a plane is called a cross section

Answer:

cross section

Step-by-step explanation:

i had this same question on  ossadayware

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

Answer:

12g8h10

Multiply each variable quantity by 2 and combine.

Step-by-step explanation:

let the one number be X.

and

second one 1/3

then

1/3 +X = 5/9

X = 5/9-1/3

X =( 5-3) /9

X = 2/9 Ans

Answer:

The other number will be 2/9.

Step-by-step explanation:

Let the second fraction be x :

[tex] \frac{1}{3} + x = \frac{5}{9} [/tex]

[tex]x = \frac{5}{9} - \frac{1}{3} [/tex]

[tex]x = \frac{5}{9} - \frac{3}{9} [/tex]

[tex]x = \frac{2}{9} [/tex]

Answer:

I think the answer is D

Step-by-step explanation:

I hope it was correct...

Answer:

Actual height of the building is 37.5 feet

Step-by-step explanation:

Formula to be used to get the actual length of the building,

Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]

By this formula,

[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]

Actual height of the building = 1.25 × 30

                                               = 37.5 feet

Therefore, actual height of the building will be 37.5 feet.

Answer:

(0,5) (1,3) (2,1)

Step-by-step explanation:

Answer:

FIRST option

Step-by-step explanation:

mark me brainlist btw help my sum plsss

Answer: 40 cubic inch

Step-by-step explanation:

Answer:

$4.67

Step-by-step explanation:

John + 2 friends = 3

Total cost = $14

$14/3 = $4.6666

$4.6666 ---> $4.67

Consider Brainliest! Hope I helped!

Problem 1:

1) 3/5x-1 x 3/4=9/10

3x/5-1 x 3/4=9/10

2) 3x/5-1 x 3/4=9/10

3x/5-3/4=9/10

3) 3x/5-3/4=9/10

+3/4 +3/4

4) 3x/5=33/20

5) 5 x 3x/5= 5 x (33/20)

6) 3x=33/4

7) 3x=33/4

/3 /3

8) x=11/4

Problem 2:

1) 6/7+2/5x=-4/5

6/7+2x/5=-4/5

2) 6/7+2x/5=-4/5

-6/7 -6/7

3) 2x/5= --58/35

4) 5 x 2x/5= 5 x (--58/35)

5) 2x= --58/7

6) 2x= --58/7

/2 /2

x= --29/7

Answer:

No. of boys in class = 30-16=14

so,ratio=14:16

=7:8

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

Answer: 3/4

Step-by-step explanation: