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4 years ago

Dividing a Line Segment Based on a RatiON

Mathematics

1 answer:

natita [175]4 years ago

4 0

The x-coordinate increases by .75 x 4 steps from point A: 1 + 4(.75) = 4
the y-coordinate decreases by 2.5 x 4 steps from A: 5 - 4(2.5) = -10

Answer: b (4,-5)

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Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t

marusya05 [52]

Answer:

A) both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

House 1

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

House 2

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

Value of House 1 after 30 years

f(x) = 7446.4(30) + 178713.6 = 402105.6

Value of House 2 after 30 years

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.

8 0

3 years ago

A truck is shipping jugs of water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper weighs

mamaluj [8]

Answer:

40w + 16p ≤ 2000

Step-by-step explanation:

let 'w' = jugs of water

let 'p' = cases of paper

the area of shading will include negative values which you can ignore because those values do not apply to this problem

3 0

3 years ago

Find the slope of the line through the pair of points: (6,12) and (-6, -2)

ehidna [41]

Answer: The answer would be 1

Step-by-step explanation:

Rise over run or fall over run so the fall is 10 and run is 10 and 10/10 is 1.

8 0

3 years ago

Read 2 more answers

BEING TIMED

andrew11 [14]

Answer:

Scalene

Step-by-step explanation:

all sides are different lengths

4 0

3 years ago

An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with

Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 36, \sigma = 4.9$