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2 years ago

Use the table below to answer this question:

Mathematics

1 answer:

goblinko [34]2 years ago

4 0

Average rate of change is slope. The equation for slope is m=(y2-y1)/(x2-x1). (x2, y2) will be (5, 1) and (x1, y1) will be (-1, 7). Plug in and solve:

(7-1)/(5--1)

6/6

Hope this helps!!

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A. 2<br> B. -2<br> C. 1/2<br> D. -1/2

allsm [11]

Rate of change is the slope.

The slope is the change in Y over the change in X:

Slope = (5- -3) / (2 - -2)

Slope = 8/4

Slope = 2

Answer: A.2

7 0

2 years ago

5. James makes $15.50 per hour and works 40 hours a week. He pays 26% of his gross earnings in federal and state

QveST [7]

9514 1404 393

Answer:

Step-by-step explanation:

On average, there are about 173 1/3 hours per month, so James's take-home pay will be about ...

($15.50/h)(173 1/3 h/mo)(1 -26%) = $1988.13

His proposed rental is about ...

1400/1988.13 · 100% = 70.4%

of his take-home pay.

Most financial planners would recommend the percentage be well below 50%. It is unlikely James can make his proposed monthly payments.

4 0

3 years ago

Find the difference between 25.6 and 14.07

WINSTONCH [101]

Answer:

25.6-14.07= 11.53

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB

anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0

3 years ago

Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,

kicyunya [14]

Answer:

E. 7/40

Step-by-step explanation:

The following probabilities are given:

P (Alice Wins) = 1/5

P (Benj. Wins) = 3/8

P (Carol Wins) = 2/7

We can deduce the probabilities for losses:

P (Alice Loses) = 1 - P (Alice Wins) = 1 - 1/5 =4/5

P (Benj. Loses) = 1 - P (Benj. Wins) = 1 - 3/8 = 5/8

P (Carol Loses) = 1 - P (Carol Wins) = 1 - 2/7 =5/7

The possible outcomes that two players win and one player loses are as follows:

Alice Wins, Benj Wins, Carol Loses

Alice Loses, Benj Wins, Carol Wins

Alice Wins, Benj Loses, Carol Wins

We can compute the probabilities of each of the 3 outcomes above:

P(Alice Wins, Benj Wins, Carol Loses) = (1/5) x (3/8) x (5/7) = 3/56

Alice Loses, Benj Wins, Carol Wins = (4/5) x (3/8) x (2/7) = 3/35

Alice Wins, Benj Loses, Carol Wins = (1/5) x (5/8) x (2/7) = 2/56

P ( 2 wins and 1 loss)

= 3/56 + 3/35 + 2/56

= 343 / 1960

= 7/40

7 0

2 years ago

Read 2 more answers