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BigorU [14]
2 years ago
11

If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Car

a earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!
Mathematics
1 answer:
seraphim [82]2 years ago
7 0

Answer:

Step-by-step explanation:

14r=84, r=84/14=6, so the hourly rate is $6 an hour so

y(x)=6x

Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x

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ddd [48]

Answer:

\large\boxed{C.\ \dfrac{2x-20}{x^2+6x-40}}

Step-by-step explanation:

f(x)=\dfrac{x-16}{x^2+6x-40}=\dfrac{x-16}{x+10x-4x-40}=\dfrac{x-16}{x(x+10)-4(x+10)}\\\\f(x)=\dfrac{x-16}{(x-4)(x+10)}\\\\g(x)=\dfrac{1}{x+10}\\\\f(x)+g(x)=\dfrac{x-16}{(x-4)(x+10)}+\dfrac{1}{x+10}=\dfrac{x-16}{(x-4)(x+10)}+\dfrac{1(x-4)}{(x-4)(x+10)}\\\\=\dfrac{x-16+x-4}{(x-4)(x+10)}=\dfrac{2x-20}{(x-4)(x+10)}=\dfrac{2x-20}{x^2+6x-40}

4 0
2 years ago
A company is considering a new manufacturing process. It knows that the rate of savings (in dollars per year) from the process w
Ainat [17]

Answer:

i). \$ 7500

ii).\$ 67500

Step-by-step explanation:

Given in the question-

Saving rate is s(t)= 3000(t+2)

We know that savings in the 1st year can be calculated as

    \int_{0}^{1}3000(t+2).dt

    3000\left [ \frac{t^{2}}{2}+2t \right ]_0^1

    3000\left [ \frac{1}{2}+2 \right ]

 = \$ 7500

So savings in the first 5 years can be calculated as

     \int_{0}^{5}3000(t+2).dt

    3000\left [ \frac{t^{2}}{2}+2t \right ]_0^5

    3000\left [ \frac{25}{2}+5 \right ]

 = \$ 67500

7 0
3 years ago
There are 8 big fish for every
SCORPION-xisa [38]
So what’s the question-
8 0
3 years ago
34. A vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder The diameter
Nostrana [21]

Answer:

V=20.85\ m^3

Step-by-step explanation:

Given that,

The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.

The diameter  of the sphere is 3.5 m.

The height of the cylinder is 2 m

Height of the cylinder = Height of bowl− Radius of hemisphere

= 2 - (3.5/2)

= 0.25 m

The volume of the vessel is given by :

V = volume of hemispherical bowl + volume of cylinder

So,

V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3

So, the volume of the vessel is 20.85\ m^3.

5 0
2 years ago
HelpppppPpPpp<br> Help<br><br><br> S<br><br> X
melisa1 [442]

Answer:

27. <

28. <

29. =

30. =

Step-by-step explanation:

For absolute value, the value can never be negative unless a negative sign is in front of the absolute value equation. For example |-4| is positive 4 ,but -|-4| is -4. Another way is if you know what multiplying each sign is.

For the fractions, you need to change the fractions to a equal denominator. Hope this helps.

6 0
3 years ago
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