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3 years ago

Write a symbolic representation (formula) for a linear function f that calculates the following.

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Distance equals rate times time

rate: 60 mph

time: t hours

f(t) = 60*t

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

Which is equivalent to 256 3/4? A.4 B.12 C.64 D.192

posledela

If you were going to multiply those two numbers, the answer would be D, 192.

4 0

3 years ago

Read 2 more answers

Draw a line representing the rise and a line representing the run of the line State the slope of the line in simplest form

amid [387]

Slope is -5/3
I hope this helps :)

8 0

3 years ago

Does someone mind helping me with this problem? Thank you!

faltersainse [42]

$\frac{10-(3 \cdot 2^2 - 23)}{(1 + 10^2)-2^2 \cdot 5^2} =$

$10-\left(3\cdot \:2^2-23\right) =10-\left(-11\right) =21$

$\left(1+10^2\right)-2^2\cdot \:5^2 = 101-2^2\cdot \:5^2 = 101-4\cdot \:5^2 =101-4\cdot \:25 =101-100 = 1$

$=\frac{21}{1}$

$\frac{a}{1}= a$

$=21$

I hope I helped you!

4 0

1 year ago

Read 2 more answers

Consider the equation: x + 3y = 4x + y If x is 6, what is y?

wlad13 [49]

Answer:

The simplified system is the arbitrary solution of the original system of equations.

Y=9

X=6

Step-by-step explanation:

I have used an online Math Algebra problem solver to guide me to my answer and this is 100% sure the correct answer.

PLEASE HELP ME LIKE HAVE HELPED YOU AND MARK THIS ANSWER BRAINLIEST

7 0

3 years ago

Read 2 more answers

Write a symbolic representation​ (formula) for a linear function f that calculates the following.

Write a symbolic representation (formula) for a linear function f that calculates the following.