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3 years ago

5

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equa

tion in slope-intercept form that models this situation.

1 answer:

Alex_Xolod [135]3 years ago

5 0

Assuming f(x) is the cost and X is the number of months.

f(x)=2x+40

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Find the value of x.

Ksju [112]

I don’t know dawg sorry g

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2 years ago

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

Rearrange the equation so a is the independent variable. -3a+6b=a+4b, b=

leva [86]

Answer:

Step-by-step explanation:

Given that

-3a+6b=a+4b

We want to make b subject of formula

First to remove the 4b in the Right hand side of the equation

Subtract 4b from both side of the equation

-3a+6b-4b=a+4b-4b

Then we have,

-3a+2b=a

Now to remove the -3a from the left hand side of the equation add 3a to both side

Then,

-3a+2b+3a=a+3a

2b-3a+3a=4a

Then, 2b=4a

Divide both side by 2

2b/2=4a/2

b=2a.

6 0

3 years ago

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Devon paid for 4 pounds of bananas with a $10 bill. He got back $4.00. What was the cost of 1 pound of bananas? $3.50 $24.00 $1.

Maksim231197 [3]

Answer:

24.00

Step-by-step explanation:

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3 years ago

Use the Distributive Property to write each expression as an equivalent algebraic expression. –9(–x + 5)

Anna11 [10]

Answer:

9x -45

Step-by-step explanation:

The distributive property tells you the factor outside parentheses applies to each of the terms inside parentheses:

-9(-x +5) = (-9)(-x) +(-9)(5)

= 9x -45

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3 years ago

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