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marta [7]
3 years ago
8

Helpp

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The average rate of change over the closed interval [ a, b ] is

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

here [ a, b ] = [ 0, 8 ]

f(b) = f(8) = \frac{16-2}{40-6} = \frac{14}{34} = \frac{7}{17}

f(a) = f(0) = \frac{-2}{-6} = \frac{1}{3}

f(b) - f(a) = \frac{7}{17} - \frac{1}{3} = \frac{4}{51}

average rate of change = \frac{\frac{4}{51} }{8} = \frac{1}{102}

You might be interested in
Which value of x satisfies the equation 5(2x-9)+3=-7
vodka [1.7K]

Answer:

x = 7 / 2

Step-by-step explanation:

5(2x - 9) + 3 = -7    ---------- subtract 3 from both sides

5(2x - 9) + 3 - 3 = -7 - 3

5(2x - 9) = -10   ------ divide both side by 5

2x - 9 = -2      ---------- add 9 to both sides

2x - 9 + 9 = -2 + 9

2x = 7

x = 7 / 2

7 0
4 years ago
If -3x-8=16 what is the value of -2(x-7)
777dan777 [17]

Answer:

-3x-8=16

-3x = 16+8

-3x = 24

x = 24/-3

x = -8

= -2(x-7)

= -2(-8-7)

= 30

Hope this helps you. Do mark me as brainliest.

4 0
3 years ago
Which of the following is a solution of the system 2x + y = 9 and 3x + 5y = 19.​
Nezavi [6.7K]

2x+y=9

3x+5y=19

I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

y=9-2x

Now we can substitute the y in the second equation with 9-2x

3x+5(9-2x)=19

-7x+45=19

-7x=-26

x=26/7

y=9-2(26/7)=11/7

Solution II.)Elimination

We can multiply both side of first equation by 5 to get a 5y in both equations.

10x+5y=45

Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

(10x+5y)-(3x+5y)=45-19

7x=26

x=26/7

2*26/7+y=9

y=11/7

Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

4 0
2 years ago
Please help me with this one
Vladimir79 [104]
Is 10 and 15 because they both have a value of .909
8 0
3 years ago
Find f(-7) when f(x)=- 29/x-4
vladimir1956 [14]

Answer:

f(-)=29/11

Step-by-step explanation:

Even though you don't want an explanation, I'll just tell you the basics lol.

So what you have to do, is plug in -7 for the x's.

it should look something like the equation below.

f\left(-7\right)=\frac{-29}{-7-4}

After that all you need to is just to subtract :)

f\left(-7\right)=\frac{-29}{-11}

Then after that all you need to do is just let the negatives cancel out each other so you should get:

f\left(-7\right)=\frac{29}{11}

Hope this helps!

5 0
3 years ago
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