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snow_lady [41]
3 years ago
12

Solve each system of equations algebraically y=x+2y=-3x​

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

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Find the equation of the parabola that passes through each set of points. (4,10), (0,-18),(-2.-20)
dusya [7]

Answer:

y = (3/2)x2 - (9/2)x+ 9

Step-by-step explanation:

5 0
3 years ago
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
mamaluj [8]

Answer: See explanation

Step-by-step explanation:

1. Cost = $413

Sales percent = 6.5%

Cost of bike = $413 + (6.5% × $413)

= $413 + (0.065 × $413)

= $413 + $26.845

= $439.85

2. Cost of dishwasher = $569

Commission rate = 18%

The expression for the commission will be:

= 18% × $569

= 18/100 × $569

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8 0
3 years ago
Can someone please help me on this question. I'm having a difficult time understanding it.​
Slav-nsk [51]

The lateral surface area excludes the top and bottom, the <em>bases </em>as they're referred to here.  So we have the 9×5 front and back, and the 9×6 left and right sides.

Lateral Area = 9×5 + 9×5 + 9×6 + 9×6 = 9×(5+5+6+6) = 9×22 = 198

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6 0
3 years ago
There are 10 boys in a class of 15 people. create a ratio of boys to girls simplify
nordsb [41]

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3 years ago
Read 2 more answers
find the value of n in each equation. write what n represents in the related division problem 643=4×160+n
schepotkina [342]

Answer: n = 3; n represents a remainder in a division problem.


Explanation:


1) Finding n:


i) Given: 643 = 4 × 160 + n

ii) Do the operations: 643 = 640 + n

iii) Subraction property of the equality: 643 - 640 = n

iv)  Do the operations: 3 = n

Answer: n 3


2) Meaning of n


When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.


This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).

3 0
3 years ago
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