Answer:
<h3> sum of the roots:
</h3><h3> product of the roots:
</h3><h3>
Step-by-step explanation:</h3>
From Vieta's formulas applied to quadratic polynomial we have:
if 
then
sum of roots: 
product of the roots: 
Answer:
$51.38 or $60.45
Step-by-step explanation:
$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.
Answer:
21 kWh
Step-by-step explanation:
1. Subtract 25% from the original amount.
25% of 28 kWh is ...
0.25 × 28 kWh = 7.00 kWh
Subtracting this from 28 kWh, we find the usage after reduction to be ...
28 kWh - 7 kWh = 21 kWh
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2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...
(3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh
__
Mario must reduce his usage to 21 kWh or less.
Answer:
X= 5
Explanation (Steps):
<u>Step 1: Simplify both sides of the equation.</u>
−3.4(x−2)=9.8−4x
(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)
−3.4x+6.8=9.8+−4x
−3.4x+6.8=−4x+9.8
<u>Step 2: Add 4x to both sides.</u>
−3.4x+6.8+4x=−4x+9.8+4x
0.6x+6.8=9.8
<u>Step 3: Subtract 6.8 from both sides.</u>
0.6x+6.8−6.8=9.8−6.8
0.6x=3
<u>Step 4: Divide both sides by 0.6.</u>
0.6x0.6=3/0.6
x=5
