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3 years ago

Help on #3 above??? I will give brainliest!

Mathematics

1 answer:

Leona [35]3 years ago

7 0

Answer:

$f(x)\rightarrow 1\ \text{as}\ x\rightarrow\pm\infty$

Step-by-step explanation:

"End behavior" generally refers to the behavior as the independent variable (x) gets large in the positive or negative directions. Here, the curve for large magnitude x flattens out and approaches 1. So, we say ...

$f(x)\rightarrow 1\ \text{as}\ x\rightarrow\pm\infty$

You might be interested in

Find the value of x.

tino4ka555 [31]

Answer:

107

Step-by-step explanation:

x=180-73

x=107

hope it helps

6 0

2 years ago

Kyle is shopping for his favorite

nalin [4]

Answer:

The 9 ounce box is the better deal, and Kyle will save 2 cents.

Step-by-step explanation:

First, you should find how much 1 once would cost in the 9 ounce box.

Do 2.52 ÷ 9 = x

x = 0.28

This means that in the <u>9 ounce box, one ounce costs 28 cents</u>.

Now, find how much one once would cost in the 12 ounce box.

3.60 ÷ 12 = x

x = 0.30

This means that in the <u>12 ounce box, one ounce costs 30 cents</u>.

This means that the 9 ounce box is a better deal, because it costs less per ounce.

0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.

So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.

5 0

2 years ago

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

3 0

3 years ago

I need help with this

erma4kov [3.2K]

The answer is D.

Make me brainliest

7 0

2 years ago

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

Paha777 [63]

Answer: 12 minutes

Step-by-step explanation:

This is a standard Work Formula question (2 or more 'entities' that work on a task together). When there are just 2 entities and there are no 'twists' to the question, we can use the Work Formula to get to the correct answer.

Work = (A)(B)/(A+B) where A and B are the individual times needed to complete the task.

We're told that two hoses take 20 minutes and 30 minutes, respectively, to fill a pool. We're asked how long it takes the two hoses, working together, to fill the pool.

(20)(30)/(20+30) = 600/50 = 12 minutes to fill the pool.

3 0

2 years ago