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Harman [31]
3 years ago
7

Can the average rate of change of a function be constant ? Explain

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

  yes

Step-by-step explanation:

The average rate of change of any linear function is a constant. That fact is what makes it a linear function.

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
The product of a number and -7/10 is 1/2<br> What is the number?
kirza4 [7]
1/2*5
5/10+-7/10
-2/10
4 0
3 years ago
Pls answer the question in the picture.
mr_godi [17]

Answer:

5:2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Chloe kicks a soccer ball across a field. The height of the ball above the ground is given by the equation
Reika [66]

Answer:

It takes 3.5 seconds for the ball to hit the ground

Step-by-step explanation:

By finding the x intercepts you can determine when the ball hits the ground.

the second x intercept is (3.5,0), which means the ball hits the ground at 3.5 seconds

4 0
3 years ago
In AGHI, the measure of ZI=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ZH to the nearest tenth of a degree.​
iVinArrow [24]

Answer:

15.1

Step-by-step explanation:

4 0
2 years ago
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