The probability that a blue marble is drawn out of a bag is 3/5.

If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?

goblinko [34]

For this case we have the following functions:
$f(x) = 2x^2 + 3x

g(x) = x - 2$
The first thing we must do is calculate the sum of functions or equivalently:
$(f + g)(x) = f(x) + g(x)
$
We have then:
$(f + g)(x) = (2x^2 + 3x) + (x - 2)
$
To complete the sum, we must add the terms whose exponents are equal.
We have then:
$(f + g)(x) = 2x^2 + (3x + x) - 2

(f + g)(x) = 2x^2 + 4x - 2$
Then, we evaluate the function for x = 2:
$(f + g)(2) = 2(2)^2 + 4(2) - 2
$
Rewriting we have:
$(f + g)(2) = 2(4) + 4(2) - 2

(f + g)(2) = 8 + 8 - 2

(f + g)(2) = 14$
Answer:
$(f + g)(2) = 14
$

4 0

3 years ago

Who ever gets it right first and first one to comment will get brainiest

Svetradugi [14.3K]

Answer:

the slope is 3/2 or 1.5 they are the same

Step-by-step explanation:

6 0

3 years ago

Which series of transformations would transform triangle A into similar triangle A' in Quadrant IV? A. Rotate triangle A 90 cloc

VikaD [51]

Answer:

<u>option D</u>

Step-by-step explanation:

It is required to transform triangle A into similar triangle A' in Quadrant IV.

The given triangle in Quadrant II.

We will check the options:

A. Rotate triangle A 90 clockwise about the origin then translate five units up.

Wrong because triangle A' will be at Quadrant I.

B. Dilate triangle A by a scale factor of 4. Translate triangle A to the left.

Wrong because triangle A' will be at Quadrant II.

C. Reflect triangle A across the y-axis and then translate the triangle 3 units up and 2 units to the right.

Wrong because triangle A' will be at Quadrant I.

D. Reflect triangle A across the x-axis and then reflect the triangle across the y-axis.

True Because reflection triangle A across the x-axis, the first image will be at Quadrant III, then reflection the first image across the y-axis, we will get triangle A' will be at Quadrant IV.

<u>So, the answer is option D</u>

6 0

3 years ago

Solve the following system of equations by graphing: 2x + 6y = 20 3x − 2y = 8

denpristay [2]

2x + 6y = 20
3x - 2y = 8

I'll just substitute x and y with its corresponding values per option.

A) x = 4 ; y = 2
2(4) + 6(2) = 20 3(4) - 2(2) = 8
8 + 12 = 20 12 - 4 = 8
20 = 20 8 = 8

B) x = 4 ; y = -2
2(4) + 6(-2) = 20
8 - 12 = 20
-4 ≠ 20

C) x = -2 ; y = 4
2(-2) + 6(4) = 20 3(-2) - 2(4) = 8
-4 + 24 = 20 -6 - 8 = 8
20 = 20 - 14 ≠ 8

D) x = 2 ; y = 4
2(2) + 6(4) = 20
4 + 24 = 20
28 ≠ 20

Choice A. x = 4 ; y = 2 is the correct answer.

4 0

3 years ago

What is the ratio of 14 by 8 1/2 when the answer says _ to 1?

bearhunter [10]

Zdnxfjncgfgnxfgnxfgnbfxgfnxdfngnxf

5 0

3 years ago