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Andreyy89
3 years ago
8

What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x − 7

Mathematics
1 answer:
likoan [24]3 years ago
3 0
Equation 1)  y = x² + 10x + 11
Equation 2)  y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work. 

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35


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4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants t
MrMuchimi

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

6 0
2 years ago
Question
meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

4 0
3 years ago
Please help me fast I still nee to finish 2 more ixl's by monday!!!!
sleet_krkn [62]

Answer:No

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

3 0
2 years ago
What is 2 1/2 divided by 1/3
olga nikolaevna [1]

Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change the mixed number to an improper fraction

2 1/2 = (2*2+1)/2 = 5/2

5/2 ÷ 1/3

Copy dot flip

5/2 *3/1 = 15/2

Changing back to a mixed number

2 goes into 15 7 times with 1 left over

7 1/2

5 0
3 years ago
Why is x = 4 a solution to the proportion StartFraction 14 over x EndFraction = StartFraction 56 over 16 EndFraction?
mamaluj [8]

Answer:

D <u><em>Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.</em></u>

Step-by-step explanation:

When you cross multiply, you get 14×16=224, and 224÷4=56.

6 0
3 years ago
Read 2 more answers
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