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3 years ago

Please simplify with a explanation!~

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

6 0

Answer:

-4y + 20

Step-by-step explanation:

4(-y+5)

What we need to do here is get rid of the parentheses, which can be achieved through multiplication.

This is another way of saying 4 times -y plus 4 times 5.

Let's break the the parentheses down into 2 separate formulas.

4(-y) and 4(5)

Now we can multiply these two together to get -4y and +20. When combined, we get -4y +20.

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The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=4

Zina [86]

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And, p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola. The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c where a = -0.25, b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

Learn more in depth about revenue function problems at brainly.com/question/25623677

#SPJ1

5 0

1 year ago

Six added to twice Eric's age is the same is four times his age minus 4how old is Eric

FrozenT [24]

He is 5. 5 plus 5 is 10 plus 6 is 16. And 5 times 4 is 20 minus 4 is 16

3 0

3 years ago

In mrs.smiths class every time you turn in 10 assignments you earn 1 homework pass.Write 3 equivalent ratios if turned in assign

frutty [35]

Answer:

Step-by-step explanation:

For every 10 assignments you get 1 homework pass. So you would multiply them by two and up more.

So here's some of your answers:

10:1

20:2

30:3

40:4

50:5

60:6

70:7

80:8

90:9

100:10

You would just continue this pattern.

8 0

3 years ago

Consider △RST and △RYX.

astra-53 [7]

Answer:

B. StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

i.e $\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Step-by-step explanation:

Two or more shape or figures are similar when their sides and angles can be compared appropriately.

In the given figure, ΔRXY is within ΔRST. Since the two triangles are similar, then their length of sides can be compared in the form of required ratios.

So that by comparison,

$\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Therefore, the correct option to the question is B.

8 0

2 years ago

Read 2 more answers

What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths

TEA [102]

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v = πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

6 0

2 years ago