Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
Answer:
41 degrees
Step-by-step explanation:
The three angles need to add up to 180 degrees!
4th answer is the answer for theis question because they are equivalent
Pour 4 times of 124-gallon into a big jug.
Amount of water = 124 x 4 = 496 gallons
Then use the 45-gallon jug to scoop out the water 11 times.
Amount of water scooped out = 11 x 45 = 455 gallons
Water remaining = 496 - 450 = 1 gallon.
Answer:
This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.
<h3><u>
Step-by-step explanation:</u></h3>
<em>Here is how you can solve this problem:</em>
- Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.
- 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.
Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.
- Subtract 2625 from 37,500.
Let's say that the next year, her car value goes down by 7% again.
THIS IS THE IMPORTANT PART:
<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>
<em>Hope this helps! :) </em>
