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4vir4ik [10]
2 years ago
7

Please help me with this math question

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
3 0

Answer:

a

Step-by-step explanation:

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For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
sergey [27]

Answer:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

Step-by-step explanation:

Given

f(x) = \frac{7}{2}x - 16

Required

The difference quotient for h

The difference quotient is calculated as:

\frac{f(x + h) - f(x)}{ h}

Calculate f(x + h)

f(x) = \frac{7}{2}x - 16

f(x+h) = \frac{7}{2}(x+h) - 16

f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16

The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

5 0
2 years ago
What is 50x50x50x50? I really need help.
tensa zangetsu [6.8K]

Answer:

6,250,000

<em>50x50x50x50 is 6,250,000</em>

4 0
2 years ago
What is the simplest form of 9/24, 14/24, 10/15, 10/12,18/27 and 10/15?
PSYCHO15rus [73]
S.F. of 9/24 = 3/8
S.F. of 14/24 = 7/12
S.F. of 10/15 = 2/3
S.F. of 10/12 = 5/6
S.F. of 18/27 = 2/3
S.F. of 10/15 = 2/3

Hope this helps!
8 0
3 years ago
Read 2 more answers
Point p was rotated about the origin (0,0) by -15 degrees.<br><br> Which point is the image of P?
Airida [17]

Answer:

the answer is d.

Step-by-step explanation:

8 0
3 years ago
A set of 5 numbers has a mode of 12 a median of 11 a mean of 10 what could the numbers be?
BabaBlast [244]
The median is 11, so 11 is part of the data set. We have an odd number of values (5) which is why the median is part of the data set.

The mode is 12. The value 12 shows up the most times. Let's say it shows up twice. So far the data set is {11, 12, 12}

Let's introduce two more numbers x and y
The new data set is {x, y, 11, 12, 12}

Add up the five values and then divide by 5. We want this result to be equal to 10
(x+y+11+12+12)/5 = 10
(x+y+35)/5 = 10
x+y+35 = 10*5
x+y+35 = 50
x+y = 50-35
x+y = 15

So we don't know what x or y is, but we know that they must add to 15. So all you have to do is list two numbers that add to 15. One such pair is x = 6 and y = 9. Another pair is x = 7 and y = 8. There are infinitely many possibilities if you can use any real number. 

So one possible set is {6, 9, 11, 12, 12}
Another possible set is {7, 8, 11, 12, 12}
4 0
3 years ago
Read 2 more answers
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