Answer:
can you please show the graph and problems I would love to help
I think the answer is the Last one
Answer:
Step-by-step explanation:
y = -3x² + 24x - 50
factor out leading coefficient
y = -3(x² - 8x) - 50
complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = -3(x² - 8x + 4²) + 3(4²) - 50
y = -3(x-4)² - 2
The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.07a + 0.12b = 400 equation 2
Where:
a = amount invested in the account that yields 7% interest.
b = amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3
Subtract equation 3 from equation 2
0.05b = 50
b = 50 / 0.05
b = 1000
Subtract 1000 from 5000: 5000 - 1000 = 4000
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Answer:
10km+10km*2 = 30km
30km*(1000m/1km) = 30000m
In the second equation of the problem, the kilometers from the initial total distance biked is cancelled out by the conversion of kilometers to meters, as seen in the 1000m/1km (or 1000 meters for every 1 kilometer).
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Step-by-step explanation:
