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pochemuha
2 years ago
7

Solve the following System Of Equations Using Substitution or Elimination Methods. Show Work.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
8 0

Answer:

There are two pairs of solutions: (2,7) and (-1,4)

Step-by-step explanation:

We will use substitution.

y = x^2 + 3

y = x +5

Since the second equation is equal to y, replace y in the first equation with the second equation.

y = x^2 + 3

x + 5 = x^2 + 3

Rearrange so that one side is equal to 0.

5 - 3 = x^2 - x

2 = x^2 - x

0 = x^2 - x - 2

You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).

a = 1, b = -1, c = -2

Zeros = \frac{-b + \sqrt{b^{2}-4ac }  }{2a} and \frac{-b - \sqrt{b^{2}-4ac }  }{2a}

Zeros = 2 and -1

Now that you have your x values, plug them into the equations to find their corresponding y values.

y = x^2 + 3

y = (2)^2 + 3

y = 7

Pair #1: (2,7)

y = x^2 + 3

y = (-1)^2 + 3

y = 4

Pair #2: (-1,4)

Therefore, there are two pairs of solutions: (2,7) and (-1,4).

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RideAnS [48]

Answer:

\frac{4}{25}

Step-by-step explanation:

there are a total of 20 marbles and the chance that it is blue is 8/20 so multy that by itself and the answer is 4/25

3 0
2 years ago
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Question: When you do adding fractions, do you have to find a common demoniter? *sorry for misspelling*
docker41 [41]

Answer: yes when your adding or subtracting fractions you must find the common denominator between the two before you continue.

Step-by-step explanation:

Example: 2/4+3/2

Find the common denominator. ( in this case the common denominator is 4)

We keep the first fraction as it is cause it has the denominator 4 and we multiply the second fraction by 2 up and down to get a denominator of 4. The equation becomes 2/4+6/4

Now you add the numerators and you got your answer ( don’t forget to simplify)

The answer after adding in this case is 8/4 and when simplified it is 2

5 0
3 years ago
70 decreased by 13% =
Pie
If you have a calculator: 
<span>1) To find 1%, divide by 100 (70 / 100 = 0.7) </span>

<span>2) Then, multiply by the % you need (0.7 x 13 = 9.1) </span>

<span>Therefore 70 - 9.1 = 60.9 </span>

<span>If you don't have a calculator: </span>
<span>1) Find 50%, 10%, 5%, and 1%. With these, you can make any % you need. </span>
<span>50% = X / 2 (= 35) </span>
<span>10% = X / 10 (= 7) </span>
<span>5% = first, do 10%, then divide that by 2 (= 3.5) </span>
<span>1% = X / 100 (= 0.7) </span>
<span>Where X is the number you want to work out % for </span>

<span>2) Add those % up to get the amount you want </span>
<span>10% + 1% + 1% +1% = 13% </span>
<span>7 + 0.7 + 0.7 + 0.7 = 9.1 </span>

<span>Therefore 70 - 9.1 = 60.9
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7 0
3 years ago
4n - 30 = 7(-2n + 2) +10
enot [183]
N=3
Distribute them at the numbers, add 30 to both sides of the equation then simplify. Then add 14 to both sides of the equation. Simplify again. Divide both sides of the equation by the same factor. Simplify. Answer is n=3
5 0
2 years ago
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3/4 ÷ 2 5/6 = how do I solve this problem
Tamiku [17]

Answer:

9/34

Step-by-step explanation:

3/4 times 2 5/6

3/4 times 17/6

switch the denominator and numerator then, multiply.

7 0
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