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2 years ago

Given f(2) = 12, which of the following could be an equation of the function?

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

The answer is B, f(x) = 4x + 4.
If you substitute 2 for x, the resulting answer will be 12, therefore it is correct.

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You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

Arlecino [84]

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = $2L + 2W + 2W$

The fencing material costs $30 per meter.

The material for the partitions costs $25 per meter

$cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W$

$7000=60L+110W$

Solve for L

$7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W$

Area = length times width

$( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2$

Now take derivative and set it =0

$A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W$

set the derivative =0 and solve for W

$0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8$

So width = 31.8 that gives maximum area

$L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4$

$Area = length \cdot width = 31.8 \cdot 58.4= 1857.12$ square meter

4 0

3 years ago

A parachutist's speed during a free fall reaches 75 meters per second. What is this speed in feet per second? At this speed, how

Alex

Polly uses a probability simulator to pull colored ribbons from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:

Color of RibbonNumber of Times PulledWhite25Green14Orange21

HeadsTails3822

Using Polly's simulation, what is the probability of pulling an orange ribbon and the coin landing on tails?

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3 years ago

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6 x to the 3 fourths power in radical form? (1 point) Question 3 options: 1) cubed root of 6 x to the fourth power 2) fourth roo

vivado [14]

Answer:4) 6 fourth root of x cubed

Step-by-step explanation:

6 0

3 years ago

Given that cosΘ=8/17 and sinΘ=-15/17 what is the value of tanΘ?

Marta_Voda [28]

tanΘ is given by the following equation:

 $\frac{sin\theta}{cos\theta}$

Plug in your known values into the formula:

 $\frac{\frac{8}{17}}{\frac{-15}{17}} = \frac{8}{17} \div \frac{-15}{17} = -\frac{8}{15}$

tanΘ is equal to -8/15.

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3 years ago

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Which transformations of y = 2x will produce the graph shown?

Tpy6a [65]

Answer:

reflect over the x-axis and shift 3 units right

Step-by-step explanation:

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3 years ago