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3 years ago

Which ordered pair is a solution to the system of equations?

2 answers:

6 0

2x - y = -2 . . . (1)
5x - 2y = -7 . . . (2)
From (1), y = 2x + 2 . . . (3)
Putting (3) into (2), gives:
5x - 2(2x + 2) = -7
5x - 4x - 4 = -7
x - 4 = -7
x = -7 + 4 = -3
y = 2(-3) + 2 = -6 + 2 = -4.

Therefore, the required answer is (-3, -4)

irinina [24]3 years ago

3 0

2 x - y = - 2 / * ( - 2 )
5 x - 2 y = - 7
--------------------
- 4 x + 2 y = 4
+
5 x - 2 y = - 7
------------------------
x = - 3
- 15 - 2 y = - 7
- 2 y = - 7 + 15
- 2 y = 8
y = 8 : ( - 2 ) , y = - 4
Answer: A ( - 3 , - 4 )

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Which ordered pair on the graph represents the situation described in part F?

Ray Of Light [21]

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4 0

3 years ago

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Fatima paid for 5 pallets of grass to be delivered.

slava [35]

Fatima paid for 5 pallets of grass to be delivered.
• Each pallet of grass cost $129.95.
• Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A $725.95
B $649.75
C $581.95
D $1,030.75
Answer:
A $725.95
Step-by-step explanation:
Given:
Number of Pallets = 5
Cost of each pallet = $129.95
Total amount spend on Pallets = Number of Pallets × Cost of each pallet =
Also given;
Amount spend on Delivery = $76.20
Total Amount Paid by Fatima = Total amount spend on Pallets + Amount spend on Delivery =
Hence Fatima paid a total amount of $725.95.

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2 years ago

Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will

Anestetic [448]

Answer:

Total payback for Loan type 1 = $354,625.20

Total payback for Loan type 2 = $278,618.40

Explanation

Total payback of a loan consists of the summation of the amount of mortgage to be paid and total interest to be paid after the given number of years.

Total payback of a loan can also be calculated by multiplying your monthly payment of the loan by the total number of months given for payment.

a. For Loan type 1

In the question we have been given or monthly payment = $985.07

The formula for Total payback for Loan type 1 = Monthly payment × number of months

Numbers of years for payment of loan = 30 years

1 years = 12 months

Hence,

Number of months = 30 years × 12 months

Number of months = 360 months

Total payback of loan = $985.07 × 360 months

= $354,625.20

b. For Loan type 2

In the question we have been given or monthly payment = $1160.91

The formula for Total payback for Loan type 1 = Monthly payment × number of months

Numbers of years for payment of loan = 30 years

1 years = 12 months

Hence,

Number of months = 20 years × 12 months

Number of months = 240 months

Total payback of loan = $1160.91 × 240 months

= $278,618.4

Step-by-step explanation:

4 0

2 years ago

What is the answer? Please help!

Juliette [100K]

Answer:

Choice B: BD/DA = CE/EA

Step-by-step explanation:

Slope is rise over run. For the two slopes to be equal, the rise over run of the two triangles must be equal.

The rise over run for triangle ABD is BD/DA.

The rise over run of triangle ACE is CE/EA.

For the slopes to be equal, BD/DA = CE/EA

Answer: Choice B.

7 0

3 years ago

Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

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3 years ago

Read 2 more answers