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Luden [163]
3 years ago
9

Select ALL the correct answers. Which of the given functions have an average rate of change of -12 on the interval [0, 2]?

Mathematics
2 answers:
ANEK [815]3 years ago
4 0

Answer:

Maybe you could show what is trying to be solved.

Step-by-step explanation:

viktelen [127]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the functions are not given.

The general explanation on calculating average rate of change is as follows.

The average rate of change (m) of function f(x) over interval (a,b) is:

m = \frac{f(b) - f(a)}{b-a}

Take for instance:

f(x) = x^2 + 4x + 4

(a,b) = (0,2)

The average rate of change over (0,2) is:

m = \frac{f(2) - f(0)}{2-0}

m = \frac{f(2) - f(0)}{2}

Calculate f(2) and f(0)

f(2) = 2^2 + 4*2 + 4 =16

f(0) = 0^2 + 4*0 + 4 =4

So, we have:

m = \frac{f(2) - f(0)}{2}

m = \frac{16 - 4}{2}

m = \frac{12}{2}

m = 8

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17

Step-by-step explanation:

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3 years ago
Solve the system of equations
insens350 [35]

Answer:

x = 3, y = 1 is the solution of the given system.

Step-by-step explanation:

Here, the given system of equations is:

y = -x  + 4   ...... (1)

y = x - 2     ..........  (2)

Now, to find the solution of the system, SUBSTITUTE the value of y from equation  (1) in to the equation (2). We get ,

y = x - 2   ⇒   -x  + 4  = x - 2  ( as from (1), y = -x + 4)

or,  -x -x = -2 -4

or, - 2 x = -6 ⇒   x = 6/2  = 3

or, x = 3

⇒  y = x - 2 = 3 - 2 = 1

⇒ y = 1

Hence, x = 3, y = 1 is the solution of the given system.

5 0
3 years ago
Find the slope of the line passing through the points (-5,5) and (-5,-8)
AysviL [449]

Answer:

1

Step-by-step explanation:

5-8            -3

----------=

-5--8         -3

-3

-----= 1

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Hope this helps!

6 0
3 years ago
Read 2 more answers
How do you do this question it is kinda difficult to understand
Dafna1 [17]
Speed = slope of the line = 20 / 0.5 = 40 km / hr

Second part will be a line with downward slope from the end of the horizontal line Slop = 20 / 1/3 (=60 km/h) So it will pass through the 65 on horizontal axis.
4 0
3 years ago
1/3y+11=1/2y-3<br><br> What is y???
olga55 [171]

Answer:

y=84

Step-by-step explanation:

\left(\frac{1}{3}\right)y+11=\left(\frac{1}{2}\right)y-3

Use distributive property.

\frac{1}{3}y+11=\frac{1}{2}y-3

\frac{1}{3}y+11-11=\frac{1}{2}y-3-11

\frac{1}{3}y=\frac{1}{2}y-14

\frac{1}{3}y-\frac{1}{2}y=\frac{1}{2}y-14-\frac{1}{2}y

-\frac{1}{6}y=-14

\left(-\frac{1}{6}y\right)\left(-6\right)=\left(-14\right)\left(-6\right)

y=84

6 0
3 years ago
Read 2 more answers
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