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3 years ago

The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?

Mathematics

1 answer:

pentagon [3]3 years ago

5 0

Answer:

x= -2 and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10 is one point

x=-2 and y = -6 is the other point

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(9x+13)^2=49 Solve the quadratic equation given below.

Varvara68 [4.7K]

Answer:

x=(-2/3)

Step-by-step explanation:

(9x+13)^2=49

√(9x+13)^2=√49

9x+13=7

9x+13-13=7-13

9x=-6

9x÷9=-6/9

x=-6/9

-6/9=-2/3

3 0

3 years ago

What is -7/ 12 plus 7/10 in simplest form

VMariaS [17]

It would be: -7/12 + 7/10 = -35+42 /60 = 7/60

So, your final answer is 7/60

Hope this helps!

6 0

3 years ago

Read 2 more answers

78 is what percent of 110

irinina [24]

Answer: 70.909090909091%

Step-by-step explanation: Reading through the problem we have 78 is, that's 78 equals, what percent, x/100, of 110, times 110.

It's important to understand that percent means over 100 so what percent would simply mean x/100 or any variable but I will be using x.

So we have the equation $78 = \frac{x}{100} *110$

So cross canceling the 110 and 100 to 11 and 10, we have $78 = \frac{11x}{10}$

Multiply both sides by 10 to get rid

of the fraction and we have 780 = 11x.

Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

8 0

3 years ago

The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways

denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

$\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B$

Hope that helps!

8 0

3 years ago

How can you tell if a equation is extraneous

geniusboy [140]

Do you mean an extraneous solution? I will tell you what I think. To tell if a solution is extraneous you need to go back to the original problem and check if there actually is a solution or if the solution is actually right. If not then it is extraneous.

6 0

3 years ago