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Ksivusya [100]
3 years ago
5

Solve the system of linear equations. 3x−2y=1 9x−6y=3

Mathematics
1 answer:
irakobra [83]3 years ago
8 0
Get the y by itself

-2y= -3x + 1

Divide -2 to everything

y= 3/2x - 1/2


Other equation (get y by itself)

-6y= -9x + 3
y=3/2x - 1/2

Use substitution

3/2x-1/2=3/2-1/2

0=0

All real numbers (any value of x makes the equation true)
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What does 1 4/5 x 15 =
mars1129 [50]

Answer:

that equals to 27 have a good day :)

5 0
3 years ago
Read 2 more answers
Marie's dad drives an SUV that uses 2.5 litres of fuel for every 20 km driven. He drives to work 20 km each way, 5 days a week.
mash [69]

Answer: 12.5 litres

Step-by-step explanation:

The SUV takes 2.5 litres for every 20 km driven.

The trip to work is 20 km which means that going to work costs Marie's father 2.5 litres every day in fuel.

In a week, there are 5 working days.

The amount of fuel used per week is therefore:

= 2.5 * 5

= 12.5 litres

5 0
3 years ago
The vertex of a parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term i
denis23 [38]

Answer:

y=a(x+2)^{2} -3\\-2=a(-5+2)^{2} -3\\\frac{-2+3}{9} =a\\a=\frac{1}{9} \\

Step-by-step explanation:

4 0
3 years ago
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
Ann [662]
<h3>Answer: 12,201.90 dollars</h3>

You may need to delete the comma if you are entering this result into a computer system.

=====================================================

Work Shown:

P = 10,000 = deposit

r = 0.04 = decimal form of 4% interest rate

n = 4 = we're compounding 4 times a year

t = 5 years

-------------

A = P*(1+r/n)^(n*t) .... compound interest formula

A = 10,000*(1+0.04/4)^(4*5)

A = 12,201.9003994797

A = 12,201.90

After 5 years, there is $12,201.90 in the account.

This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.

8 0
3 years ago
Write the equation of the line passing through (−1, 0) and (0, −3).
e-lub [12.9K]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3)

m = \frac{-3-0}{0+1} = - 3

note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - 3x - 3 ← in slope- intercept form

Add 3x to both sides

3x + y = - 3 ← in standard form → C

8 0
3 years ago
Read 2 more answers
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