How to solve 16x>-100

√(6+x-x²)=9 I have to put this just to submit it.

Sergio [31]

We know that it must equal 9, and that we do x•x-x+6 and find the square root

4 0

2 years ago

A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the

zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

$\dfrac{1593}{2451} \times 100 = 64.99\%$

So, option A is not correct.

Percentage of girls who play video games:

$\dfrac{1361}{2996} \times 100 = 45.43\%$

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

$\dfrac{2493}{5447} \times 100 = 45.77\%$

So, option C is not correct.

7 0

3 years ago

A rectangular swimming pool measures 14 feet by 30 feet. The pool is

Zolol [24]

Answer:

The total cost of resurface the path is $\$600$

Step-by-step explanation:

step 1

Find the area of the path

The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool

$A=(14+3+3)(30+3+3)-(14)(30)$

$A=(20)(36)-(14)(30)$

$A=300\ ft^{2}$

step 2

Find the cost of resurface the path

Multiply the area of the path by $2 per square foot

$300*2=\$600$

4 0

3 years ago

Please help with these

kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

4 0

3 years ago

Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor

AlladinOne [14]

Answer:

$-2x - h - 3$

Step-by-step explanation:

Step 1: Define

Difference Quotient: $\frac{f(x+h)-f(x)}{h}$

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

Substitute: $\frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}$
Expand and Distribute: $\frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}$
Distribute: $\frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}$
Combine like terms: $\frac{-2hx-h^2-3h}{h}$
Factor out h: $\frac{h(-2x-h-3)}{h}$
Simplify: $-2x - h - 3$

8 0

3 years ago

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How to solve 16x>-100​

How to solve 16x>-100