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3 years ago

Evaluate the function f(x) = 3x + 5 for each of the following input values:

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

F(0)=3(0)+5
=0+5
=5

F(4)=3(4)+5
=12+5
=17

MakcuM [25]3 years ago

4 0

To find the output, we simply plug in the input values into our x-values.

For a) we will input 0 where x is. 3(0)+5= 5. So the answer for A) is 5.

For b) we will input 4 where x is. 3(4)+5= 17. So the answer for B) is 17.

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-x - 11 and the opposite of -11

likoan [24]

Answer:

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Step-by-step explanation:

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2 years ago

The value of the correlation coefficient is always in the range a. 0 to 1 b. 1 to 1 c. 1 to 0

dlinn [17]

Answer:

-1 to 1

Step-by-step explanation:

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2 years ago

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

$\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)$

$Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250$

$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

5 0

3 years ago

Elena has some bottles of water that each hold 17 fluid ounces.

Svet_ta [14]

Answer:

17b = w

Step-by-step explanation:

17 times the number of bottles = the number of ounces of water

Then you just plug in the numbers you are given

17(51) = w

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divide both sides by 17

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2 years ago

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jekas [21]

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3 years ago

Read 2 more answers