Answer:
The answer is "
".
Step-by-step explanation:
please find the complete question in the attached file.
![=\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B10%7D%20%28%5Cfrac%7Bx%5E3%7D%7B3%7D%29%5E%7B5%7D_%7B-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B30%7D%5B5%5E3%2B5%5E3%5D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B30%7D%28125%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%20%5Ctimes%20125%5C%5C%5C%5C%3D%5Cfrac%7B25%7D%7B3%7D)
Sarah sold 66 posters
<em><u>Solution:</u></em>
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
<em><u>Sarah sold a total of 178 t shirts and posters at a festival</u></em>
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
<em><u>She sold 46 more tshirts than poster</u></em>
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters
The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
<h3>Translation of coordinates</h3>
Translations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function below
g(x) = (x − 2)^3 + 6
The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up
Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
Learn more on translation here: brainly.com/question/12861087
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Answer:
Income Linda make = $150
Step-by-step explanation:
Given:
y = 0.10x + 85
Assume;
Sales = $650
Find:
Income Linda make
Computation:
Income Linda make = 0.10x + 85
Income Linda make = 0.10(650) + 85
Income Linda make = 65 + 85
Income Linda make = $150
