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3 years ago

5y-10=-25 Whats the answer?

Mathematics

2 answers:

bagirrra123 [75]3 years ago

7 0

Add 10
5y = -15
Y = -3

VladimirAG [237]3 years ago

3 0

Answer:

y= -3

Step-by-step explanation:

5y-10= -25 add 10 to both sides

5y= - 15 divide by 5

y= -3

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Question regarding logarithms.

Eddi Din [679]

$5^{x-2}-7^{x-3}=7^{x-5}+11\cdot5^{x-4}\\\\5^{x-2}-7^{x-2-1}=7^{x-2-3}+11\cdot5^{x-2-2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\5^{x-2}-\dfrac{7^{x-2}}{7^1}=\dfrac{7^{x-2}}{7^3}+11\cdot\dfrac{5^{x-2}}{5^2}\\\\5^{x-2}-\dfrac{1}{7}\cdot7^{x-2}=\dfrac{1}{343}\cdot7^{x-2}+\dfrac{11}{25}\cdot5^{x-2}\\\\-\dfrac{1}{7}\cdot7^{x-2}-\dfrac{1}{343}\cdot7^{x-2}=\dfrac{11}{25}\cdot5^{x-2}-5^{x-2}\\\\\left(-\dfrac{1}{7}-\dfrac{1}{343}\right)\cdot7^{x-2}=\left(\dfrac{11}{25}-1\right)\cdot5^{x-2}$

$\left(-\dfrac{49}{343}-\dfrac{1}{343}\right)\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\\\\-\dfrac{50}{343}\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\qquad\text{multiply both sides by}\ \left(-\dfrac{25}{14}\right)\\\\\dfrac{50\cdot25}{343\cdot14}\cdot7^{x-2}=5^{x-2}\qquad\text{divide both sides by}\ 7^{x-2}\\\\\dfrac{25\cdot25}{343\cdot7}=\dfrac{5^{x-2}}{7^{x-2}}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}$

$\dfrac{5^2\cdot5^2}{7^3\cdot7}=\left(\dfrac{5}{7}\right)^{x-2}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{5^4}{7^4}=\left(\dfrac{5}{7}\right)^{x-2}\\\\\left(\dfrac{5}{7}\right)^4=\left(\dfrac{5}{7}\right)^{x-2}\iff x-2=4\qquad\text{add 2 to both sides}\\\\\boxed{x=6}$

6 0

3 years ago

Read 2 more answers

For some reason my teacher gave this to us and I kinda forgot how to do this from last year... please helppp w/ work or she’s go

WARRIOR [948]

The greatest common factor is...
5a
I got this by...
10: 1,2,5,10
15: 1,3,5,15
25: 1,5,25
The GCF is 5 for the numbers.
For the a's, it's...
a: a
a^3: a×a×a
a^6: a×a×a×a×a×a
The GFC is a.
Then multiple 5 and a, and you get...
5a
The GFC is...
5a
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3 years ago

Henlo! <br> how is everyone doing?<br> OK 15 points<br> name all the colors in the rainbow!

GuDViN [60]

Answer:

red

orange

yellow

green

blue

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Step-by-step explanation:

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2 years ago

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What is the opposite reciprocal of 1/-3

Nataly [62]

Answer:

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Step-by-step explanation:

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3 years ago

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Find the x-intercept of the line 3x - 9y = 15.

erastovalidia [21]

Answer:

The x-intercept is 5.

Some people prefer you right it as a point (5,0).

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

Just like to find the y-intercept you can set x=0 and solve for y.

Let's find the x-intercept.

So we will set y=0 and solve for x:

3x-9y=15

3x-9(0)=15

3x-0 =15

3x =15

Divide both sides by 3:

x =15/3

x =5

So the x-intercept is (5,0).

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3 years ago