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artcher [175]
3 years ago
7

Please help i dont understand

Mathematics
1 answer:
torisob [31]3 years ago
3 0
x: 25
x + 48: 25 + 48
f(x): 73

x: 30
x + 48: 30 + 48
f(x): 78

x: 35
x + 48: 35 + 48
f(x): 83

x: 40
x + 48: 40 + 48
f(x): 88
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Need help with my homework ​
Volgvan

Answer:

\displaystyle y=\frac{16-9x^3}{2x^3 - 3}

\displaystyle y=-\frac{56}{13}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3

Simplify the radical with the cube:

\displaystyle x^3=\frac{3y+16}{2y+9}

Multiply by 2y+9

\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)

Simplify:

\displaystyle x^3(2y+9)=3y+16

Operate the parentheses:

\displaystyle x^3(2y)+x^3(9)=3y+16

\displaystyle 2x^3y+9x^3=3y+16

Subtract 3y and 9x^3:

\displaystyle 2x^3y - 3y=16-9x^3

Factor y out of the left side:

\displaystyle y(2x^3 - 3)=16-9x^3

Divide by 2x^3 - 3:

\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}

ii) To find y when x=2, substitute:

\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}

\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}

\displaystyle y=\frac{16-72}{16- 3}

\displaystyle y=\frac{-56}{13}

\mathbf{\displaystyle y=-\frac{56}{13}}

8 0
2 years ago
This equation shows how the total cost of visiting the art museum as a member is related to the number of visits. C = 9.2v + 21.
liubo4ka [24]

Answer:

6

Step-by-step explanation:

C=9.2v + 21.2

76.4 = 9.2v + 21.2

76.4 - 21.2 = 9.2v

55.2 = 9.2v

v= 55.2 / 9.2 = 6

7 0
2 years ago
Is y=2x+3 a proportional relationship
lisabon 2012 [21]

answer:

no, it does not represent a proportional relationship because it has a y-intercept therefore it won’t go through the origin.

4 0
2 years ago
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Ozzie's Mother bought an assortment of greeting cards while she was at the bookstore. She bought twice as many birthday cards as
slava [35]

Answer:

20

Step-by-step explanation:

2 get well cards

4 anniversary cards

6 greeting cards

8 birthday cards

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2 years ago
A paddle boat company charges $15 rental fee plus $12.75 per hour for rentals. If Jimmy has $45, which inequality can he use to
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Answer:

3

Step-by-step explanation:

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