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3 years ago

If f(x) = -x + 5 and g(x) = 3x + 2, Find f(2)*g(2).

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

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Opal wanted to make some necklaces and sell them at a craft store. She made 37 necklaces and each necklace had somewhere between

alexandr402 [8]

<h3>The total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.</h3>

Step-by-step explanation:

Here, as given: The number of necklace made by Opal = 37

The least number of bead used in each necklace = 72

So, if each necklace is made using the least number of beads then,

The total number of beads used in 37 necklace = 37 x ( beads in 1 necklace)

= 37 x 72 = 2,664 beads

So, the least number of total beads used in 37 necklaces = 2,664 beads

The highest number of bead used in each necklace = 77

So, if each necklace is made using the highest number of beads then,

The total number of beads used in 37 necklace = 37 x ( beads in 1 necklace)

= 37 x 77 = 2,849 beads

So, if highest number of total beads used in 37 necklaces = 2,849 beads

Hence, the total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.

5 0

3 years ago

Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

y = -2x + 5

4 = -2(-3) + 5 - Substitute both x and y

4 = 6 + 5 - Simplify

4 ≠ 11

Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5

6 0

3 years ago

What is the length of the longest side of a triangle that has vertices at (7, 6), (7, 1), and (-5, 6)?

iren2701 [21]

Answer: The Answer is going to be B.

Step-by-step explanation:

We can find the distance between each pair of points using the distance formula Sqrt((x1-x2)^2 + (y1-y2)^2),(x1 and x2 are the x ordinates of each point, and y1 and y2 are the y ordinates. Sqrt stands for square root, and ^2 is to the power of two.

Using this we can find the side between 7,6 and 7,1 is 5.

The side between 7,1 and -5,6 is 13

The side between 7,6 and -5,6 is 12

After using the formula we can conclude the side between 7,1 and -5,6 is the longest, and it equals 13. Therefore the answer is B.

7 0

3 years ago

Read 2 more answers

Car X and car Y traveled the same 80-mile route. If car X took 2 hours and car Y traveled at an average speed that was 50 percen

KiRa [710]

Answer:

Step-by-step explanation:

Both cars, X and Y travelled 80 miles each.

Speed = distance/time

If car X took 2 hours to travel 80 miles, it means that the speed at which car X travelled is

80/2 = 40 mph

If car Y traveled at an average speed that was 50 percent faster than the average speed of car X, it means that the speed at which car X travelled is

40 + 0.5 × 40 = 60 mph

Time = distance/speed

Therefore, time taken by car Y to travel 80 miles is

80/60 = 1.33 hours

7 0

3 years ago

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount

$R = 4\%$ -- the interest rate

$T=1$ --- the duration

The amount to pay back in this duration is then calculated using:

$A = P(1 + RT)$

So, we have:

$A = 25000(1 + 4\% \times 1)$

$A = 25000(1 + 4\% )$

Express percentage as decimal

$A = 25000(1 + 0.04)$

$A = 25000(1 .04)\\$

Multiply

$A = 26000$

Hence, the amount to pay back is $26000.00