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s2008m [1.1K]
2 years ago
10

What is the rate of change of function g?

Mathematics
1 answer:
Natasha2012 [34]2 years ago
5 0

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

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What is the sign of −4ab when a>0 and b<0?
AVprozaik [17]

Answer:

A

Step-by-step explanation:

We have the expression:

-4ab

And we want to find its sign given that a>0 and b<0.

Notice that the expression is already negative since we have -4.

a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.

b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.

Therefore, the sign of our expression will be positive.

We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:

-4(1)(-1)=4

So, the sign is positive.

Hence, the answer is A.

7 0
3 years ago
The polynomial p(x)=(3-2x)(x^2-5) is graphed in a coordinate plane. Which statement about the graph is correct?
satela [25.4K]

Answer:

0 = (3-2x) x (x x 2 -5)

(3-2x) x ( x x 2 - 5) = 0

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x = 5/2

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The air Temperature is -12C at sunrise and rises 4 degrees c every hour for several hours the air temperature after x hours is r
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Let f(x) = y.

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This leads to the point (0, -12).

Let y = 0.

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1 2 = 4x

12/4 = x

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This leads to the point (3, 0).

We now graph both points and then connect each point with a straight line.

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