Answer:
y = -18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 5x - 3
3x - 2y = 27
<u>Step 2: Rewrite systems</u>
- Define: 3x - 2y = 27
- Add 2y on both sides: 3x = 2y + 27
- Divide 3 on both sides: x = 2/3y + 9
<u>Step 3: Redefine</u>
y = 5x - 3
x = 2/3y + 9
<u>Step 4: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
- Distribute 5: y = 10/3y + 45 - 3
- Combine like terms: y = 10/3y + 42
- Subtract 10/3y on both sides: -7/3y = 42
- Divide -7/3 on both sides: y = -18
Answer:
(114.123, 115.877)
Step-by-step explanation:
Given that :
Sample size (n) = 500
Mean = 23% of 500 = 115
Standard deviation (s) = 2% of 500 = 10
α = 95%
Zcritical at 95% = 1.96
Confidence interval = Mean ± Error
Error = Zcritical * standard deviation /sqrt (n)
Error = 1.96 * 10/sqrt(500)
Error = 0.8765386
Lower boundary : 115 - 0.8765386 = 114.1234614
Upper boundary : 115 + 0.8765386 = 115.8765386
(114.123, 115.877)
When
the ball is in the ground, its height is basically equal to zero thus making
our equation,
<span> -16t^2 + 272t + 1344 = 0</span>
Simplifying
the equation will give us,
<span> - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>
Factoring
out the equation will give us,
<span> (t – 21)(t + 4) = 0</span>
Thus,
t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.
<span>Answer:
21 seconds</span>
Answer:
Hope that helps
Step-by-step explanation:
Answer:
I think the answer would be C 16 days.
I cant really see the bottom of the graph
Step-by-step explanation: