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DochEvi [55]
3 years ago
5

Help meh pls I need so much help

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

a) 10^2 =  100

b)10^4= 10,000

Step-by-step explanation:

75,000/750= 100 = 10^2

60,500/6.05= 10,000= 10^4

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Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4
Kay [80]

Answer:

<h2>c. x = -4 or x = 9</h2>

Step-by-step explanation:

\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}

Domain:

x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3

solution:

\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}

use <em>(a - b)(a + b) = a² - b²</em>

\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}

multiply both sides by (x - 3) ≠ 0

\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}

cancel (x - 3)

\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3

subtract \frac{4(x-3)}{x} from both sides

\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}

cross multiply

(4)(x)=(x+3)(-x+12)

use FOIL

4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36

subtract 4x from both sides

0=-x^2+12x-3x+36-4x

combine like terms

0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36

change the signs

x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0

The product is 0 if one of the factors is 0. Therefore:

x-9=0\ \vee\ x+4=0

x-9=0            <em>add 9 to both sides</em>

x=9\in D

x+4=0          <em>subtract 4 from both sides</em>

x=-4\in D

7 0
3 years ago
Can anybody help me please
klio [65]

Answer:

x    y

0   -1

-1    0

-8    7

Step-by-step explanation:

y = -x - 1

when x = 0, y = -1

when y = 0

0 = -x - 1

x = -1

when x = -8,

y = -(-8) - 1

y = 7

8 0
3 years ago
Read 2 more answers
When one quarter of a number is subtracted from one third of the number, the result is 7
Rzqust [24]
The number ... n
one quarter of the number ... 1/4 of n = 1/4 * n
one third of the number ... 1/3 of n = 1/3 * n
one quarter of the number is subtracted from one third of the number ... 1/3 * n - 1/4 * n
the result is 7 ... = 7

We can put it together: 
1/3 * n - 1/4 * n = 7
4/12 * n - 3/12 * n = 7
1/12 * n = 7     /*12
n = 7 * 12
n = 84

The number you are looking for is 84.
5 0
3 years ago
Jeffrey is making a passcode for his new phone. He decides to create a 6
torisob [31]
About 750 different permutations
6 0
3 years ago
Rearrange the equation a = 1/2 b to make b the formula
Evgesh-ka [11]

Answer: b = 2a

Step-by-step explanation:

<u>Original equation</u>

a = (1/2) b

<u>Multiply 2 on both sides</u>

a * 2 = (1/2) b * 2

\Large\boxed{b=2a}

Hope this helps!! :)

Please let me know if you have any quesitons

8 0
1 year ago
Read 2 more answers
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