3x+6y=12
-3x -3x
6y=-3x+12
*divide by 6 on both sides*
y= -1/2x+2
Slope: -1/2
Y-intercept: 2
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
Answer:
- 2730.54
- 18.8%
- 62.5% (decrease)
Step-by-step explanation:
The applicable formula is ...
rate = portion/base
so ...
base = portion/rate
Of course, a percentage is a fraction that has been multiplied by 100%.
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1. base = portion/rate = 456/0.167 ≈ 2730.54
The base is about 2730.54.
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2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%
The rate is about 18.8%.
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3. The decrease can be figured from ...
rate of change = (new amount)/(original) -1 = 33/88 -1
= -5/8 = -0.625 = -62.5%
The rate of decrease is 62.5%.
Answer:
(f - g)(x) = 4x² + 4x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 5x² - 3
g(x) = x² - 4x - 8
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 5x² - 3 - (x² - 4x - 8)
- Distribute -1: (f - g)(x) = 5x² - 3 - x² + 4x + 8
- Combine like terms: (f - g)(x) = 4x² + 4x + 5
3/5 x 7/7= 21/35
4/7x 5/5= 20/35
They both have a common denominator
