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vampirchik [111]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

let y = 5x - 3

rearrange making x the subject

add 3 to both sides

5x = y + 3 ( divide both sides by 5 )

x = \frac{y+3}{5}

change y back into terms of x, hence

f^{-1}(x) = \frac{x+3}{5} → B


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The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 ,
Lesechka [4]

Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.  

Any function f(d) to find excess of children more than adults can be written as follows :-  

f(d) = c(d) - a(d).

⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)

⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

⇒ f(d) = 0.1d² + d + 2

6 0
3 years ago
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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
Phantasy [73]

Answer:

\cos (a-b)=\cos a \cos b+\sin a \sin b

Step-by-step explanation:

 Given : \cos (180^{\circ}-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^{\circ}-q)=-\cos q

Take left hand side of given expression \cos (180^{\circ}-q)

We know

\cos (a-b)=\cos a \cos b+\sin a \sin b

Comparing , we get, a= 180° and b = q

Substitute , we get,

\cos (180^{\circ}-q)=\cos 180^{\circ}  \cos (q)+\sin q \sin 180^{\circ}

Also, we know \sin 180^{\circ}=0 and \cos 180^{\circ}=-1

Substitute, we get,

\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^{\circ}-q)=-\cos (q)

Hence, use difference identity to  prove the given result.

7 0
3 years ago
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miv72 [106K]

Answer: 3 054 in^2

Step-by-step explanation:

Sphere volume formula = 4/3 pi r^3

So... 4/3 pi 9^3

= 3 053.63 in^2

6 0
3 years ago
Lesson 2 semester B exam algebra 1B unit 7
Elodia [21]
<h2>Answer:</h2>

720 pounds

<h2>Step-by-step explanation:</h2>

Initially, we have that the amount of algae in the pond is 90pounds. Every four hours the amount of algae doubles. If we called t the time and W the amount of algae, we have that:

At \ t=0 \ hours, \ w=90 \ pounds \\ \\ At \ t=4 \ hours, \ w=2(90)=180 \ pounds \\ \\ At \ t=8 \ hours, \ w=2(180)=360\ pounds \\ \\ At \ t=12 \ hours, \ w=2(360)=720 \ pounds

Finally, <em>after 12 hours the amount of algae in the pond is 720 pounds</em>

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3 years ago
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Manu had 16 pears in a basket. Sten gave him 10 more. Manu gave 8 pears to Klara. How many pears does Manu have left?
grin007 [14]

Answer:

18    i hope this helps!   :)

Step-by-step explanation:

has 16 to begin with

gets 10 more

16 + 10 = 26

gives 8 away

26 - 8 = 18

Manu has 18 pears left

3 0
3 years ago
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