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arsen [322]
3 years ago
9

PLS HELP

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

<em>C = -5</em>

Step-by-step explanation:

<u>Functions</u>

F(x) is defined as:

\displaystyleF(x)=\frac{C-x}{D-x}

We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:

D - (-2) = 0

Solving:

D = -2

Substituting:

\displaystyleF(x)=\frac{C-x}{-2-x}

We also know F(-1) = 4:

\displaystyle \frac{C-(-1)}{-2-(-1)}=4

\displaystyle \frac{C+1}{-2+1}=4

\displaystyle \frac{C+1}{-1}=4

Multiplying by -1

C + 1 = -4

Solving for C:

C = -5

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3 years ago
Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. beards B. eyeb
sineoko [7]

A Beards, Beards where a fashion choice back then, just like how wemon had black teeth and white painted faces!

4 0
3 years ago
One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke and a 98% confidenc
Valentin [98]

Answer

a. True

Step-by-step explanation:

Based on this survey we estimate that about 18.3\% of the college students smokes. And a 98\% confidence interval is [15.1\% ; 21.6\%].  So we know that our estimative for the smoking rate is in the confidence interval with 98\% certainty. We also know the estimative for the smoking rate in the general population is 27\%. So we can write the two possible hypothesis:

H_0 = Smoking rate is equal to 27\%.

H_1 = Smoking rate is not equal to 27\%.

We will reject the null hypothesis (H_0) if the estimate doesn't fall into the confidence interval for the college students smoking rate.

Since this condition holds we reject the null hypothesis. So with 98\% certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.

6 0
3 years ago
James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The
Elodia [21]

Answer:

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(in ft)

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3 0
2 years ago
Given the two functions, which statement is true?
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

8 0
3 years ago
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