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Maksim231197 [3]
3 years ago
12

Use the functions f(x) and g(x) to answer the question. F(x)=x²-16; g(x)=x+4

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

(x^2) - 16 / x+4 = (x-4)(x+4) / (x+4) = x-4, x not equal to -4

D is the answer.

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A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens u
stellarik [79]

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

\dfrac{28.80}{144}=\$0.2

owner sells the pen at $0.4 i.e. price marked up by

\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

\Rightarrow 0.2\times (1+0.5)=\$0.3

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Vladimir [108]

Answer:

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Step-by-step explanation:

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Please help me out, i will mark your answer (if it’s correct) as a brainiest:)
Ivanshal [37]

Answer:

1. 5IN = 9 OUT

2. -3 IN= -7 OUT

3. 4 IN = 7 OUT

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Step-by-step explanation:

8 0
3 years ago
Please answer my question
Veronika [31]
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A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is u
mars1129 [50]
<h3>Answer: choice E</h3><h3>total area = pi*r^2 + (10 - (1/2)pi*r)^2</h3>

==========================

How I got that answer:

Draw out a line segment and label it to be 40 meters long. Somewhere in the middle (not the exact midpoint necessarily), draw a cutting line to divide the segment into two (not necessarily equal) parts. The first part is x units long. The remaining bit is 40-x units long. See the attached image below. The drawing is optional, but it might help to visually see how the two parts interact.

------------

The wire that is x units long is used to form a circle of radius r. The question is: what is x in terms of r?

The circumference of the circle of radius r is

C = 2*pi*r

If we cut the circle and unroll it out into a straight line, then its perimeter or circumference will stretch into a line of length 2*pi*r. So this must be the length of x.

x = 2*pi*r

-----------

The value of 40-x is then

40-x = 40-2pi*r

which will be used to form the square.

The total perimeter of the square is P = 4*s, where s is the side length. Solving for s gets to

s = P/4

Plug in P = (40-2pi*r) and simplify

s = P/4

s = (40-2pi*r)/4

s = 40/4-(2pi*r)/4

s = 40/4-(2/4)pi*r

s = 10 - (1/2)pi*r

----------

We know the side length of the square, which can be used to find the area of the square

A = area of square

A = s^2

A = (10-(1/2)*pi*r)^2

----------

M = area of circle = pi*r^2

N = area of square = (10-(1/2)*pi*r)^2

total area = M+N

total area = pi*r^2 + (10-(1/2)*pi*r)^2

7 0
3 years ago
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