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3 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

1 answer:

5 0

f(x) = ax^2 + bx + c

f(0) = ax^2 + bx + c = 5, c = 5
f(-2) = 4a + -2b + 5 = 1 ----------(1)
f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
16a + 4b = -64
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
a = 7
4a - 2b = -4
28 - 2b = -4
b = 16

f(x) = 7x^2 + 16x + 5

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How to solve -7(x-1)^2-2 vertex form to standard form

ahrayia [7]

Expand it

$-7(x-1)^2-2$
$-7(x^2-2x+1)-2$
$-7x^2+14x-7-2$
$-7x^2+14x-9$ is standard form

4 0

3 years ago

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = 40

3 0

3 years ago

Please help me!!!!!!!!!!!!!!!

ycow [4]

Answer:

7) (f+g)(x) = 4^x +5x -5

8) (f-g)(x) = 4^x +x +5

Step-by-step explanation:

7) add the two expressions.

(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)

(f+g)(x) = 4^x +5x -5

8) subtract g(x) from f(x).

(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5

(f-g)(x) = 4^x +x +5

7 0

3 years ago

Can someone explain to me how to do this?

elena55 [62]

In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - $\frac{-5-1}{0-4}$ , which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)= $\frac{3}{2}$ x-5

6 0

3 years ago

Question 3

tino4ka555 [31]

Answer:

it is 8.39. hope this helps.

8 0

3 years ago