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3 years ago

What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x − 7

1 answer:

3 0

Equation 1) y = x² + 10x + 11
Equation 2) y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work.

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35

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Martina buys a video game that normally costs d dollars, but it is on sale for 25% off. If the sales tax on the game is 8%, how

NNADVOKAT [17]

25% off means that they are paying 75% of the original price. Multiply d by 75%:

0.75d

Now you need to multiply the price by 1 plus the sales tax to get the total cost:

0.75d x 1.08

Simplify by multiplying 0.75 by 1.08 to get:

0.81d

7 0

3 years ago

Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum

Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank r (t) = 30 (1 - $e^{-0.16 t}$ )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{pump}$ = $\int\limits^a_b {r(t)} \, dt$

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

$V_{pump}$ = $\int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt$

$V_{pump}$ = $30 [ t + \frac{e^{-0.16t} }{0.16} ]$

$V_{pump}$ = $30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0} )$

$V_{pump}$ = 420 gallon

Now, total volume in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{total} = 800 + 420$

$V_{total} = 1220 \ gallon$

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0

3 years ago

60000x3+4 pls help fast

Ilya [14]

First, you have to multiply 60000 by 3 and you will get 180000. Then you add 4 and your final answer is 180004

5 0

3 years ago

7×9-8+11-6 [5+2 (-3)]

kupik [55]

Ok, MissWalker! Please try your best to understand this, it may get confusing.
I have solved this on a different website, and here is my solving in a picture. I hope I helped!!! :D

8 0

3 years ago

Write these price increases in order from greatest to least<br> 2/3, 75%, 7 / 10, 62.5%, 0.5

In-s [12.5K]

Answer:

75, 7/10, 2/3, 62,5, .5

Step-by-step explanation:

75%=75%

7/10=70%

2/3=66.67%

62.5%=62.5%

.5=50%

5 0

3 years ago