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2 years ago

The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c?

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

The typical method of solving this question... (School method)

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Look at this system of equations.<br> 4x+3y=33<br> 2x+3y=21<br> What is the value of x+y?

Maurinko [17]

Answer:

x = 6

y = 3

x + y = 9

Step-by-step explanation:

(Step 1)

Isolate one of the variables in one of the equations. This will allow you to solve by substitution in the following steps.

2x + 3y = 21 <----- Original equation

3y = -2x + 21 <----- Subtract 2x from both sides

y = (-2/3)x + 7 <----- Divide all terms by 3

(Step 2)

Substitute the new equation into the untouched equation and isolate the "x" variable.

4x + 3y = 33 <----- Original equation

4x + 3((-2/3)x + 7) = 33 <------ Substitute manipulated equation

4x - 2x + 21 = 33 <------ Multiply 3 by terms in parentheses

2x + 21 = 33 <------ Subtract terms with variables

2x = 12 <----- Subtract 21 from both sides

x = 6 <----- Divide both sides by 2

(Step 3)

Plug the value of "x" into one of the equations to find the value of "y".

4x + 3y = 33 <----- Original equation

4(6) + 3y = 33 <----- Plug 6 in for "x"

24 + 3y = 33 <----- Multiply

3y = 9 <----- Subtract 24 from both sides

y = 3 <----- Divide both sides by 3

(Step 4)

Since you now know the value of both variables, you can add them together to find your final answer.

x = 6

y = 3

x + y = ?

6 + 3 = ?

9 = ?

3 0

2 years ago

17-4(6-p) = -59 find the p

sdas [7]

Answer:

-13

Step-by-step explanation:

Have a nice day !

5 0

3 years ago

When the new computer lab opened there were 18 computers.by the end of firdt week there were 25 computers. Find the percent of c

aliina [53]

The number of computers increased by 38.9%

Step-by-step explanation:

Number of computers at start of week = Old value = 18

Number of computers by end of week = New value = 25

Change = New value - Old value

Change = 25-18 = +7

The positive sign indicates the increase.

Increase percent = $\frac{Change}{Old\ value}*100$

$Increase\ percent=\frac{7}{18}*100\\\\Increase\ percent=\frac{700}{18}\\\\Increase\ percent= 38.88\%$

Rounding off to nearest tenth

Increase percent = 38.9%

The number of computers increased by 38.9%

Keywords: difference, percentage

Learn more about percentages at:

#LearnwithBrainly

3 0

3 years ago

Kayla filled a bucket with 4 gallons of Water , she dumped exactly 1.o34 gallons . How much water is left in the buckets ?

yKpoI14uk [10]

4 - 1.034 = 2.966
There would be 2.966 gallons of water left in the bucket.

I hope this helps!

4 0

3 years ago

Please help!!:

LenKa [72]

Answer:

Step-by-step explanation:

I just took test

please make me Brainliest

5 0

2 years ago