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2 years ago

4.06 Question 5

Mathematics

1 answer:

AnnyKZ [126]2 years ago

4 0

Adults be x
Campers be y

Total rooms =200

So inequality is given by

$\\ \sf\longmapsto x+y\leqslant 200$

Now

Adult costs 4$ and Camper costs 3\$

Inequality is given by

$\\ \sf\longmapsto 4x+3y\leqslant 750$

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Find ef if e (1,-2) and f (7,6)

Elodia [21]

Y-y1=a(x-x1)
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2 years ago

2x³-8=0<br> How do I solve this problem ?

wlad13 [49]

Answer:

$x=2^{\frac{2}{3}}$

Step-by-step explanation:

1) Add 8 to both sides.

<em /> $2x^3=8$

2) Divide both sides by 2.

$x^3=\frac{8}{2}$

3) Simplify $\frac{8}{2}$ to 4.

$x^3=4$

4) Take the cube root of both sides.

$x=\sqrt[3]{4}$

5) Rewrite 4 as 2².

$x=\sqrt[3]{2^2}$

6) Use this rule: ${({x}^{a})}^{b}={x}^{ab}$ .

$x=2^{\frac{2}{3}}$

Decimal Form: 1.587401

__________________________________________

Check the answer:

$2x^3-8=0$

1) Let $x=2^\frac{2}{3}$ .

$2(2^{\frac{2}{3} })-8=0$

2) Use this rule: $(x^a)^b=x^{ab}$ .

$2\times2^{\frac{2\times3}{3} } -8=0$

3) Simplify 2 * 3 to 6.

$2\times2^{\frac{6}{3} } - 8 =0$

4) Simplify 6/3 to 2.

$2\times2^2-8=0$

5) Use Product Rule: $x^ax^b=x^{a+b}$ .

$2^3-8=0$

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

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1 year ago

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round

bulgar [2K]

Answer:

Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = $\frac{4}{3} \pi$ or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

$V = \frac{4}{3} \pi r^{3}$

Where V = Volume and r = radius

By Substitution,

$V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi$

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2 years ago

An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the de

Mariana [72]

The answer is 218’. A foot front is measured by property. So for this question, you need to find the frontage feet.

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1 year ago

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ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

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Next, you can see that you're able to take out x^2

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You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

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