What is the justification for 10=15x

Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared

Aleonysh [2.5K]

An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us

$y + \dfrac{y^2-5}{y^2-1} = \dfrac{y^2+y+2}{y+1}$

As we can see in the equation that there are 2 denominators, which are,

y²-1
y+1

In the two of the expressions that are stated above the expression (y²-1) is of a higher power.

Hence, Janes should multiply both sides of the equation by (y²-1).

Learn more about Equation:

brainly.com/question/2263981

7 0

3 years ago

A 2 digit number is 11 times it's units digit the sum of the digits is 12 whats the number

alisha [4.7K]

Yeah, for example, 2*11=22 another example would be 11*5=55 I hope that helped you.

5 0

3 years ago

Can someone help me with these problems? Please!

masya89 [10]

Step-by-step explanation:

2) Slope can be written as rise over run:

rise: add to the y-value
run: add to the x-value

$a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)$

3) Slope formula is: $\dfrac{y_2-y_1}{x_2-x_1}$

$slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}$

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

$Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3$

b) when x = -2, y = 0 and when x = -1, y = 3

$Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3$

c) when x = 0, y = 0 and when x = 2, y = 0

$Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0$

3 0

3 years ago

What is the price per pound of salt if 1/4 pound cost $0.50

Natali [406]

$0.50/ (1/4 pound)= $2.00/pound.

The final answer is $2.00 per pound~

8 0

4 years ago

A class at Middlebury school collected date on the types of movies students prefer. Complete each statement using the table.

likoan [24]

Based on the information of the table, you have:

1. The ratio is 105/150. By simplifying you get for the ratio 7/10.

2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:

165/420 = 11/28

3. The fraction of seventh graders students that prefer action movies is:

75/180 = 5/12

4. The percent of student that prefer comedy is:

105 + 150 = 255 total student that prefer comedy

420 total number of students

the fraction is:

(x/100)420 = 255

solve for x:

x = 255(100/420)

x = 60.71

the percent of students is 60.71%

5. The percent of eighth graders student who prefer action moveis is:

(x/100)240 = 90

x = 90(100/240)

x = 37.5

the percent of students is 37.5%

6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:

(x/100)180 = 75

x = 75(100/180)

x = 41.66

the percent of student is 41.66%

then, seventh grade has the greatest percent of student that prefer action movies.

4 0

1 year ago