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zhuklara [117]
3 years ago
10

PLEASE HELP solve x^2 - 64 = 0

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

x = -8 and x = 8

Step-by-step explanation:

x^2 - 64 = 0                     Our first step is to factor

(x + 8)(x - 8) = 0          Now use zero product property to help solve for x

x + 8 = 0            x - 8 = 0

x = -8                 x = 8

Hope this helps!

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Which value from the set (1/3, 3, 5, 15) will make the equation n divided by 3/5 = 5 true?
sweet [91]
The answer is 3!!

This is because if you divide 3 by 3/5, you get 5.

Hope this helps!!
7 0
3 years ago
Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i
Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = \$(\dfrac{300}x)

Books left after giving 15 of them = x-15

Selling price of (x-15) books=  $330

Selling price of one book = \$(\dfrac{330}{x-15})

Profit on each book= $1.50

Profit = selling price - cost price

\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75

Number of books cannot be negative.

So, there are 75 books.

Price of each book = \dfrac{300}{75}=\$4

So price of each book = $4.

5 0
3 years ago
Can someone help me please
Evgen [1.6K]

Answer:

7 (7/8)

Step-by-step explanation:

There

3 0
2 years ago
( HELP ASAP! EASY POINTS ) The picture below shows a box sliding down a ramp:
TEA [102]

Answer:

AC = 14 cosec(68)

Explanation:

Here given:

  • angle: 68°
  • opposite: 14 ft
  • hypotenuse: AC

Use sine rule:

\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}

\rightarrow \sf sin(68) = \dfrac{14}{AC}

\rightarrow \sf AC= \dfrac{14}{ sin(68) }

\rightarrow \sf AC= 14  \ cosec(68)

4 0
2 years ago
Five added to 6 times a number is equal to 2 less than 8 times the number. What is the number?
Morgarella [4.7K]
30N=2-8N

Subtract 8N from 30N and you get 22N.

22N=2

Divide by 22 on both sides. You get N=2/22

So your answer is N=1/11
8 0
3 years ago
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