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MrMuchimi
2 years ago
13

Which expression shows the factors of 9x^ +3x-2

Mathematics
1 answer:
lesya692 [45]2 years ago
6 0

Answer:

\texttt{(3x+2)(3x-1)}

Step-by-step explanation:

Factors of

9x^2+3x-2

9x^2+6x-3x-2

3x(3x+2)-(3x+2)

(3x+2)(3x-1)

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X y
Darina [25.2K]

Answer:

Part 1) The rate of change is \frac{17}{15}

Part 2) The initial value is 68

Part 3) The function rule to the linear model is y=\frac{17}{15}x+68

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{85-68}{15-0}

m=\frac{17}{15}

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is \frac{17}{15}

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

b=68

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

y=mx+b

we have

m=\frac{17}{15}

b=68

substitute

y=\frac{17}{15}x+68

8 0
3 years ago
Find the exact length of the third side
Mumz [18]

Answer:

5

Step-by-step explanation:

We know that 13 is the hypotenuse. With this we can use the Pythagorean Theorem to solve this problem.

Let the third side be x.

13^2=12^2+x^2

169=144+x^2

169-144=x^2

25=x^2

x=5

Solved.

5 0
3 years ago
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nignag [31]

Answer:

x=-2.8

Step-by-step explanation:

8 0
3 years ago
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Margarita [4]

Answer:

The vertex is (2, 3)

Step-by-step explanation:

This is because the parent equation for problems like these is y=a(x-h)2 +k. The vertex is found through (h, k) and so with 2 as H and 3 as K, the vertex is (2,3).

4 0
2 years ago
Amar rakes leaves for his neighbors to earn money. He earned 64 dollars after
ipn [44]
Answer : amar makes $8 per hour
6 0
3 years ago
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