Answer: (-8, -80)
<u>Step-by-step explanation:</u>
y = 10x
y = -3x - 104
Substitute "y" with "10x" into the second equation, then solve for x:
10x = -3x - 104
13x = -104 <em>added 3x to both sides</em>
x = -8 <em>divided both sides by 13</em>
Next, substitute -8 for x into the first equation to solve for y:
y = 10(-8)
= -80
Answer:
Option D.The decrease in the value of the car, which is 8%
Step-by-step explanation:
we have a exponential function of the form
where
y is the value of the car
x is the time in years
a is the initial value
b is the base
r is the rate of decrease
b=1+r
In this problem we have
a=$24,000 initial value of the car
b=0.92
so
0.92=1+r
r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
2x + 3t - 4
Step-by-step explanation:
Hi,
To simplify the expression, we must combine like terms. To start, let's combine all of the x-values.
4x + 3t - 2x - 4
When we combine 4x and -2x we get 2x.
2x + 3t - 4
We can't combine anything else. They don't have the same variables and 4 doesn't even have a variable, so 2x + 3t -4 is the simplified expression.
I hope this helps :)
