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tankabanditka [31]
2 years ago
11

To solve a system of inequalities ayana isolated y in the first equation and then substituted for y in the second equation. what

was the result
2y=4x
x^(2)+y=3
Mathematics
1 answer:
vitfil [10]2 years ago
8 0

Answer:

(- 3, - 6 ) , (1, 2 )

Step-by-step explanation:

2y = 4x ( divide both sides by 2 )

y = 2x → (1)

x² + y = 3 → (2)

Substitute y = 2x into (2)

x² + 2x = 3 ( subtract 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Substitute theses values into (2) for corresponding values of y

x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )

x = 1 : y = 2(1) = 2 ⇒ (1, 2 )

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Jessica earns 800 each month working a part time job. she wants to save a total of 2,400 for collage over a one- year period. wh
grigory [225]

Answer:

25%

Step-by-step explanation:

Given parameters:

Amount earned by Jessica per month = 800

Total savings target per year  = 2400

Unknown:

Percentage of savings = ?

Solution:

The total earning per year will be the amount earned per month multiplied by the total number months;

 Amount earned in a year = 12 x 800  = 9600

Let the percentage of savings per year  = y%

  Now;

              2400 = \frac{y}{100} x 9600

                  y = 25%

8 0
2 years ago
find three consecutive even integers such that the sum of the smallest integer and twice the median integer is 20more than the l
3241004551 [841]
X = smallest; x + 2 = middle, and x + 4 = largest
x + 2(x+2) = 20 + x + 4
x + 2x + 4=24 +x
3x + 4 = 24 + x
2x = 20
x = 10
so the three integers are 10, 12, and 14
3 0
3 years ago
Which expression is equivalent to 4(5j + 7)?
frozen [14]

Answer: 4(5j+7) = 20j+28

Step-by-step explanation:

5 0
3 years ago
Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
horsena [70]

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

__

The remaining balance after t years will be ...

  B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

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Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

8 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).
zzz [600]

Answer:

y=-5x+7

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

the points (−1,12) and (1,2)

substitute

m=\frac{2-12}{1+1}

m=\frac{-10}{2}

m=-5

step 2

we know that

The equation of the line in slope intercept form is equl to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5

point\ (1,2)

substitute in the linear equation and solve for b

2=-5(1)+b

b=2+5=7

therefore

y=-5x+7

4 0
2 years ago
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