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3 years ago

15pts f(x)=(x+6)/2 g(x)=2x - 6 Show your work to evaluate g(f(x)).

Mathematics

1 answer:

notsponge [240]3 years ago

4 0

Answer:

g(f(x)) = -x - 18

Step-by-step explanation:

2x - 6( (x + 6) / (2) )

2x - 3( x + 6)

2x - 3x - 18

-x - 18

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If the price of address is 40 before taxes added on and taxes 20% what will the final price of the dress be?

Lyrx [107]

40*1.2=48
1 represent the entire amount and .2 represents the tax added. When multiplied it would give you 48 as the final price.

6 0

3 years ago

To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly

Finger [1]

Answer:

$766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

A = $25,000(.00541667)/(1 -1.00541667^-36)

A = $25,000(0.00541667)/(0.1767322)

A = $766.23

The monthly payment is $766.23.

_____

<em>Comment on tools</em>

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

4 0

3 years ago

Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$

Finally, in each muffin there are 1.53oz of fiber.

6 0

3 years ago

How do I solve N(1/5) = 2/15

dem82 [27]

N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.

8 0

3 years ago

Read 2 more answers

50 Points:

kodGreya [7K]

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

4 0

3 years ago