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3 years ago

Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?

Mathematics

2 answers:

BARSIC [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Trust me it is correct. Once you graph it all out it'll make sense

Murrr4er [49]3 years ago

3 0

Hmm,
the absolute value makes whaterver inside positive
so

find whre the abslte value is 0
1.6x-2=0
1.6x=2
x=2/1.6
x=1.25

as x approaches 1.25, the function decreases

so from left to right
from the left to right, from -ifninty to 1.25, it is decreasing
from 1.25 to infinity, it is increasing

so it is increasing in the interval (1.25,∞)

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3 years ago

A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?

Elodia [21]

Answer: 26%

Step-by-step explanation:

The formula to calculate the percentage markup is given as:

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3 years ago

Read 2 more answers

Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope

d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 46.8, \sigma = 1.75$

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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

$Z = \frac{50 - 46.8}{1.75}$

$Z = 1.83$

$Z = 1.83$ has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

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

$Z = \frac{48 - 46.8}{1.75}$

$Z = 0.685$

$Z = 0.685$ has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0

3 years ago

alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th

dimaraw [331]

The distance in kilometers in scientific notation $2.03 \times 10^3 km$

<h3>Scale factors</h3>

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If Alvin and Simon raced a distance of $2.9 \times 10^2$ kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be: