He bought 8 pizzas to be shared equally among 40 people. what is the equivalent representation

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Free_Kalibri [48]

Answer:

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = $\frac{2}{14}$

p = $\frac{1}{7}$

Therefore, equation will be,

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

5 0

3 years ago

Choose the point slope form of the equation below that represents the line that passes through the points (-6,4) and (2,0) Y+6=2

olchik [2.2K]

Answer:

you would need to see which one adds up or just an answer out in the wen then see what you get from there if not go find another way

Step-by-step explanation:

5 0

3 years ago

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Orlov [11]

For you to make an equation a quadratic equation, you need everything to be on one side, so you add one to both sides.

2x^2 + 3x + 0=0 

a=2, b=3, c=0 

b^2-4ac (In the next step just plug in your variables) 

3^2 - 4(2)(0) 

9 - 8(0) 

9 - 0 

Your answer=9

6 0

3 years ago

A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dime

sammy [17]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

∴ 2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

∵ x represents the width of the carpet

∴ The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

∴ The length of the carpet is 82 inches

∴ The dimensions of the carpet are 15 inches and 82 inches

3 0

3 years ago

What is the inverse of the function f(x) = 2x – 10?

Gala2k [10]

$\bf f(x)=\boxed{y}=2\boxed{x}-10\qquad inverse\implies =\boxed{x}=2\boxed{y}-10\impliedby f^{-1}
\\\\\\
x+10=2y\implies \cfrac{x+10}{2}=y\implies \cfrac{x}{2}+\cfrac{10}{2}=y
\\\\\\
\cfrac{x}{2}+5=y=f^{-1}(x)$

4 0

3 years ago