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VMariaS [17]
3 years ago
11

20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

Step-by-step explanation:

we have

y=\frac{3}{2}x+6 ------> equation A

y=\frac{1}{4}x-2 ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is (-6.4,-3.6)

therefore

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

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There are 27 performances in a dance recital. The ratio of hip hop to ballet is 5:4.
Aloiza [94]

Answer:

15 hip hop performances

12 ballet performances

Step-by-step explanation:

5:4 (multiply by 3)

15:12

6 0
3 years ago
Subtract (2x3 + 9x − 8) − (4x2 − 15x + 7).
STatiana [176]
2x^3 + 9x - 8 - (4x^2 - 15x + 7)....distribute thru the parenthesis
2x^3 + 9x - 8 - 4x^2 + 15x - 7....combine like terms
2x^3 - 4x^2 + 24x - 15 <==
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3 years ago
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Is 52ft greater than or less than 912in
viktelen [127]
52 ft is less than 912.

There is 12 inches in a foot, so I did 52 x 12 = 624. 624 is less than 912.
6 0
3 years ago
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2D - 5F = 30 <br><br> Solve for F
Allushta [10]

Answer:

F = -6 + 2d/5

Step-by-step explanation:

2d-5f=30

subract 2D from each side

-5f=30-2d

divide both sides by -5

f= -6 +2d/5

5 0
4 years ago
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Question 7 of 10
Ganezh [65]

Answer:

  • Option B

Step-by-step explanation:

Given Equation :

\qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2

Using distribute property:

\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2

Adding the like terms we get :

\qquad \sf \dashrightarrow \: 12x + 9 = 2x  + 5x  - 15 + 2

\qquad \sf \dashrightarrow \: 12x + 9 = 7x  - 13

Transposing the variables on the right side and constant terms on the left side :

\qquad \sf \dashrightarrow \: 12x  - 7x =   - 13 - 9

\qquad \sf \dashrightarrow \: 5x =   - 22

Dividing both sides by 5 :

\qquad \sf \dashrightarrow \:  \dfrac{5x}{5}  =  \dfrac{ - 22}{5}

\qquad \bf \dashrightarrow \:  x =  \dfrac{ - 22}{5}

3 0
3 years ago
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