F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)

f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4

Answer: C. x = -5 and x = 4.

3 0

2 years ago

Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.

Andrews [41]

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

[subtract 2x] 3x = 0

Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Check this with the other equation.

y = 2(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Your answer is correct!

(0, 4)

4 0

2 years ago

100PT AND BRAINLIEST! PLEASE HELP! Use technology to approximate the solution(s) to the system of equations to the nearest tenth

N76 [4]

Answer:

C. (0.9, 0.3)

Explanation:

$\rightarrow \sf \dfrac{1}{4^{x}} = \log(2x)$

The above given equation is critical to solve algebraically thus they have mentioned to solve it using a technology - graphing calculator.

<h3><u /></h3><h3><u>When graphed the following equations</u>:</h3>

They meet each other at: (0.9371, 0.2728) $\sf \underset{ solution }{ \xrightarrow{ \text{ nearest tenth } } }$ (0.9, 0.3)

8 0

1 year ago

Read 2 more answers

34.65 divided by 1.5

rodikova [14]

Answer: 23.1, 231/10, or 23 1/10

Step by step explanation:

33.65/1.5 - divide the terms

23.1

3 0

2 years ago