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3 years ago

Solve the system of equations −4x+3y=−2 y=x−1 x = y =

1 answer:

4 0

Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2

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The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.

Shkiper50 [21]

Answer:

Step-by-step explanation:

Create an equation 9.99+0.35t≤12

solve for t

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3 years ago

Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How

mel-nik [20]

Answer: 20 hours

Step-by-step explanation: We want to round our answer to the nearest hour, we know that the rocket can travel 200 miles per 1 minute, but we want to know first how many miles the rocket can travel per 60 minutes or 1 hour.

To find how many miles the rocket can travel at 60 minutes or 1 hour, simply multiply 200 x 60. 200 x 60 = 12,000 miles per hour.

Now, we want to find how many hours it would take for the rocket to travel from the earth to the moon.

Simply divide 239,000 by 12,000 to get the amount of hours it would take to reach the moon. 239,000/12,000 = about 20 hours.

So, it would take the rocket ship 20 hours to reach the moon from the earth.

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3 years ago

Subtract: What is 20 - (-3) ?

MAVERICK [17]

Answer: 23

Step-by-step explanation: a P e X

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2 years ago

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n

Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is: $A = P(1+r)^t$

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> $\frac{3.5}{100}$ -> 0.035

Lets plug in the values:

$A=12,000(1+0.035)^7$

$A=15,267$

The population after 7 years will be 15,267.

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3 years ago

Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen

elena-14-01-66 [18.8K]

Answer:

$\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1$

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

$\frac{x^2}{a^2} - \frac{y^2}{b^2} =1$

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

$\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1$

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3 years ago

Solve the system of equations −4x+3y=−2 y=x−1 ​ x = y =

Solve the system of equations −4x+3y=−2 y=x−1 x = y =