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3 years ago

Please show your work

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

y = x/3 - 2 or f(x) = x/3 - 2

Step-by-step explanation:

f(x) = y

y = 3x + 6

To solve for inverse change y to x and x to y and solve for y.

x = 3y + 6 //Subtract 6 on both side

x - 6 = 3y //Divide 3 on both side

x/3 - 6/3 = y //Simply

y = x/3 - 2

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State the horizontal asymptote of the rational function. f(x) = x^2 + 9x-9/x-9

dusya [7]

Answer:

no horizontal asymptote

5 0

3 years ago

The Cowboys High School Band Boosters are selling candy bars and chips at the basketball tournament to raise money for their ban

masya89 [10]

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575 Eqn 1

x+0.5y= 500 Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

$\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150$

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

7 0

3 years ago

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole

N76 [4]

Answer:

It would cost 15600 to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

1.5 cup of coffee cost $1.5\times 0.40=0.60.$

Thus, 1.5 cup cost 0.60.

If, 100 people drink 1.5 cups.

Then, total cost of 100 people drinking 1.5 cups of coffee = $100\times 0.60=60$

As, place is open 5 days a week.

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

$5\times 60\\\\=300.$

Hence, the cost of coffee in a week is 300.

In 1 year there are 52 weeks.

Now, to get the cost for the whole year we multiply 52 by 300:

$52\times 300\\\\=15600.$

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0

3 years ago

Read 2 more answers

Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°

horsena [70]

Answer: C 2021 edg

Step-by-step explanation:

3 0

3 years ago

Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon

Harrizon [31]

<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

5 0

3 years ago