Answer:

Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to find the solution the the given system,
3y - 2x = -9
y = -2x + 5
So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.
3(-2x + 5) - 2x = -9
Distribute
-6x + 15 - 2x = -9
-8x + 15 = -9
-15 to both sides
-8x = -24
Divide -8 to both sides
<u>x = 3</u>
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Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.
y = -2(3) + 5
y = -6 + 5
<u>y = -1</u>
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So the solution is (3,-1).
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<em>Hope this helps :)</em>
Answer: C.) $51
Step-by-step explanation:
$85.00 x 40%
85.00 x 0.40= 34
85.00-34=51.00
$51
Answer:
The average speed is:

Step-by-step explanation:
The average speed equation is given by:

Were:
- Δx is the displacement (225 miles)
- Δt is the change in time (3 hours)
Then we have:


I hope it helps you!
Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
Answer:
(600 miles) / (3 hours) = 200 miles/hour
= 321.8 km/h