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MaRussiya [10]
3 years ago
13

Evaluate each function in the table for f(3)

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

Function 1:

We have 3x + 5, so we plug in 3 for x to get 9 + 5 = \boxed{14}

Function 2:

We have \frac{1}{2}x^{2} - 1.5 so we have 4.5 - 1.5 = \boxed{3}

Function 3:

We have \frac{3}{2x} which becomes \frac{3}{6} = \boxed{\frac{1}{2}}.

You might be interested in
How many, Inch cubes fit into a rectangular prism that measures 4 Inches long, 5 Inches wide, and
kramer
780 (or c)


I think this is correct because 4 x 5 = 20 x 5 = 100 and 100 x 5 = 500

500 + 280 = ????

780
8 0
2 years ago
Given sin theta=1/3 and 0 < theta< π/2; find tan 2 theta.
mote1985 [20]

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

6 0
2 years ago
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
Subtract this pair of fractions<br> 1/3x-5/3x
babunello [35]

Answer:

-7x/6

Step-by-step explanation:

x/2-5x/3

Taking LCM

3x/6-10x/6

(3x-10x)/6

-7x/6

6 0
2 years ago
there are 40 students waiting in the line to enter the museum. There are 4 times as many students in the museum as are in line w
JulijaS [17]

9514 1404 393

Answer:

  160

Step-by-step explanation:

The problem statement tells us ...

  (# in museum) = 4 × (# waiting)

  (# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40

  # in museum = 160

6 0
2 years ago
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