Answer:
See explanation
Step-by-step explanation:
Given the equation
<u>Step 1:</u> Add -7:
<u>Step 2:</u> Add 9:
<u>Step 3:</u> Use perfect square formula:
<u>Step 4:</u> Take square root:
<u>Step 5:</u> Simplify:
<u>Step 6:</u> Add 3:
If you’re asking what x equals, the answer is 15
Answer:
The answer to your question is It will take 1 hour to find Marissa
Step-by-step explanation:
Data
Marissa time = 7:00 am speed = 12 mi/h
Roommate time = 7:30 am speed = 18 mi/h
Process
1.- Calculate the distance traveled by Marissa in 30 min (0.5 h)
d = vt
d = (12)(0.5)
d = 6 mi
2.- Write an equation to solve this problem
Distance traveled by Marissa = Distance traveled by the roommate
6 + vmt = vrt
- Substitution
6 + 12t = 18t
- Solve for t
6 = 18t - 12t
6 = 6t
t = 6/6
t = 1 h
Answer:
X = 4 & Y = 3
Step-by-step explanation:
1. Multiply the first equation by -2 & Multiply the second equation by 1
-2 (2x+3y=17)
1 (3x+6y=30)
Becomes:
−4x−6y=−34
3x+6y=30
Add these equations to eliminate y:
−x=−4
2. Then solve −x= −4 for x:
−x=−4
-x/−1 = −4/−1
(Divide both sides by -1)
x=4
Now that we've found x, plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute (4) for (x) in 2x+3y=17:
(2)(4)+3y=17
3y+8=17(Simplify both sides of the equation)
3y+8+−8=17+−8(Add -8 to both sides)
3y=9
3y/3 = 9/3
(Divide both sides by 3)
y=3
The approximate original price of the car is $23032
<h3>How to determine the original price?</h3>
The given parameters are:
Rate, r = 8%
Price at 4 years old = 16,500
An exponential function is represented as:
y = a(1 - r)^x
Where a represents the initial value
This gives
y = a(1 - 8%)^x
Evaluate
y = a(0.92)^x
At 4 years old, we have:
16500 = a(0.92)^4
Divide both sides by (0.92)^4
a = 23032
Hence, the approximate original price of the car is $23032
Read more about exponential function at:
brainly.com/question/11464095
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