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WARRIOR [948]
1 year ago
14

Which function has a constant additive rate of change of 14

Mathematics
1 answer:
Maurinko [17]1 year ago
6 0

The first graph function has a constant additive rate of change of -1/4.

From the figure:

First of all when we talk about a rate of change that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.

In the first graph we can observe that the x variable increases and y - variable decrease.

rate of change = slope = -1/4

from first graph take any two points.

(2,1) and (-2,2)

slope = 2 - 1 / -2-2

= 1/-4

= -1/4

Learn more about the function here:

brainly.com/question/5975436

#SPJ4

Full question:

Is in the image uploaded.

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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
3 years ago
(Score for Question 2: ___ of 5 points)
GuDViN [60]

Answer:

Answer:

Since you don't show your triangles, I'm guessing it is this one...?

△DWP  D = (-2, 4), W = (-1, 2), P = (3, 3)

△MJS  M = (-4, -4), J = (-2, -3), S = (-3, 1)

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Therefore △DWP IS congruent to △MJS.

4 0
3 years ago
There are 9 students in a class: 7 boys and 2girls.
AleksAgata [21]

Answer:

The probability is either 2 but mostly 3 boys.

Step-by-step explanation:

8 0
3 years ago
HELPPP
kow [346]

Answer:

the second one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
7)
Nana76 [90]

Answer:

The answer is c.) 5(2)+2(6-3)

Step-by-step explanation:

This is an addition problem, because you are solving for the multiplied numbers added together.

5(2)+ 2(6-3)

10+(12-6)

10+6

= 16                     I hope this help :)

4 0
3 years ago
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