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rjkz [21]
3 years ago
10

Consider the function f(x) = 9x. Which statement MUST be true? A) f(4) f(1) = f(8) f(5) B) f(4)·f(1) = f(8)·f(5) C) f(4) − f(1)

= f(8) − f(5) D) f(4) − f(1) = f(−4) − f(−1)
Mathematics
2 answers:
Afina-wow [57]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that:

f(x)=9x

A) f(4) f(1) = f(8) f(5)

f(4)f(1)=9×4×9×1=324

f(8)f(5)=9×8×9×5=3240

Hence, this option is incorrect

B) f(4)·f(1) = f(8)·f(5)

f(4)f(1)=324

f(8)f(5)=3240

Hence, this option is incorrect

C) f(4) − f(1) = f(8) − f(5)

f(4)-f(1)=9×4-9=27

f(8) − f(5)=9×8-9×5=27

Hence, this option is correct

D) f(4) − f(1) = f(−4) − f(−1)

f(4) − f(1)=9×4-9=27

f(−4) − f(−1)=9×(-4)+9=-27

Hence, this option is incorrect

Correct option is:

C) f(4) − f(1) = f(8) − f(5)

Eddi Din [679]3 years ago
3 0

Answer:

The correct answer is A

Step-by-step explanation:

Exponential functions grow by equal factors over equal intervals because the change in x is always the same as the exponent of the quotient of the values of y.

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A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

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Recall

x+y=70

x+52=70

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5 0
3 years ago
Need your help ASAP please help
eduard

His average is 86 so it is below 90.  to get his average i just added all of his grades up to get 517 and then I divided 517 by 6 because thats how many grades he has and I got 86.

On the Grade row in the table it would go 83, 94, 79, 90, 96, 75 in order

The Above/Below 90 row would go -7, 4, 11, 7, -6, -3 in order

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3 years ago
Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
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The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

0.768=\dfrac{768}{1000}

Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}

5 0
3 years ago
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