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patriot [66]
4 years ago
8

If I have 14 -(-4), will my answer be a positive or a negative number?

Mathematics
1 answer:
NNADVOKAT [17]4 years ago
6 0

Answer:

the answer is 18 and is positive

Step-by-step explanation:

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For f(x) = 5x + 1
drek231 [11]

Answer:

A. f(7) = 5(7) + 1\\\\f(7) = 36

B. f^{-1}(x) = \frac{x - 1}{5}

C. f^{-1}(7) =\frac{6}{5}

D. f(\frac{6}{5}) = 7

Step-by-step explanation:

A. To solve the first part of the problem we must replace x = 7 in the function f(x) = 5x + 1

So:

f(7) = 5(7) + 1\\\\f(7) = 36

B. In part B we must find the inverse function of f(x) = 5x + 1

To find the inverse function do y = f(x)

y = 5x +1

Now clear the variable x.

\frac{y - 1}{5} = x

Replace x with y.

y = \frac{x - 1}{5}

Finally

f^{-1}(x) = \frac{x - 1}{5}

C. Now we take the inverse function found above and replace x = 7

f^{-1}(7) = \frac{7 - 1}{5}\\\\f(7) = \frac{6}{5}

D. Now we substitute x = f(f^{-1}(7)) in the original function.

x = f( f^{-1}(7))\\\\f^{-1}(7) = \frac{6}{5}\\\\ x= f(\frac{6}{5} )\\\\f(\frac{6}{5}) = 5(\frac{6}{5}) + 1\\\\f(\frac{6}{5}) = 7

8 0
4 years ago
Read 2 more answers
Classify each of the following random variables as either discrete or continuous: a. The fuel efficiency (mpg) of an automobile
MrRissso [65]

Answer:

a. The fuel efficiency (mpg) of an automobile is a continuous variable

b. The amount of rainfall at a particular location during the next year is a continuous variable

c. The distance that a person throws a baseball is a continuous variable

d. The number of questions asked during a 1-hr lecture is a discrete variable

e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable

f. The amount of water used by a household during a given month is a continuous variable

g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable

Step-by-step explanation:

<em>Continuous </em>variables assign values in a range of infinitely many values, while <em>discrete</em> variables are countable.

<em>Continuous variables</em> in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.

<em>Discrete variables </em>above can be counted in the given time interval.

6 0
3 years ago
Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6cm. The larger sphere has a radius of 24cm. Hiw much grea
Dvinal [7]

She used 56972.16 cm^3 plaster :) 
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4 years ago
What does the information demonstrate about Alex’s investments? He should have invested in a commodity instead of a stock. He wo
Alekssandra [29.7K]

Answer:

Answer is C.

;) have good day

6 0
4 years ago
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Expand the following: 1/3(6/5x-3)
Strike441 [17]
<span>x in (-oo:+oo)</span><span>

(1/3)*((6/5)*x-3) = 0</span><span>

1/3*(6/5*x-3) = 0</span><span>
( 1/3 )</span><span>

1/3 = 0</span><span>

x belongs to the empty set</span><span>

( 6/5*x-3 )</span><span>

6/5*x-3 = 0 // + 3</span><span>

6/5*x = 3 // : 6/5</span><span>

x = 3/6/5</span><span>

x = 5/2</span><span>

x = 5/2</span>
7 0
3 years ago
Read 2 more answers
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