The equation computed shows that the numbers will be 9, 11 and 13.
<h3>How to illustrate the information?</h3>
Let the numbers be:
First number = x
Second number = x + 2,
Third number = x + 4.
Total of the numbers = 33
The equation will be:
= first + second + third number
x + x + 2 + x + 4 = 33
3x + 6 = 33
Collect like terms
3x = 33 - 6
3x = 27.
Divide both side by 3
3x/3 = 27/3
x = 9
First number = x = 9
Second number = x + 2 = 9 + 2 = 11
Third number = x + 4. = 9 + 4 = 13
The numbers will be 9, 11, and 13.
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Illustrate the equation to find three consecutive odd integers whose sum is 33.
Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500
0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
The z-score tells you how many standard deviations from the mean.
<span>1.5 * 3.6 = 5.4 miles </span>
<span>So anything within 5.4 miles of the average (29). </span>
<span>The range would be: </span>
<span>29 - 5.4 = 23.6 </span>
<span>to: </span>
<span>29 + 5.4 = 34.4 </span>
<span>23.6 ≤ x ≤ 34.4 </span>
<span>Answer: </span>
<span>B) 24 miles</span>
Hello!!
Isolate the variable by dividing each side by factors that don't contain the variable.
Your answer is 12.5.
Hope that you pass your test!!
Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
