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3 years ago

What is the value of the function at x=−2? (98 points)

Mathematics

1 answer:

Archy [21]3 years ago

8 0

The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.

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6x + 4y=10 12x + y= -29

Olin [163]

Answer: x=-3 y=7.

Step-by-step explanation:

$\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\ We\ multiply\ both\ sides\ of\ equation\ (1)\ by\ -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\$ $We\ summarize\ equations\ (1)\ and\ (2):\\-7y=-49\\-7*y=-7*7\\Divide\ both\ sides\ of\ the\ equation\ by\ -7:\\y=7.\\We\ substitute\ the\ value\ of\ y\ into \ equation\ (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\ both\ sides\ of\ the\ equation\ by\ 6:\\x=-3.$

3 0

2 years ago

The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard

ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that $\mu = 3, \sigma = 0.04$

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

$Z = \frac{2.96 - 3}{0.04}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

3 0

3 years ago

help please !!!Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add

Liula [17]

So basically, he wants to make mixture where lemon=lime

it is 6 gallons so
40% of 6=0.4 times 60=2.4=lemon
60% of 6=0.6 times 60=3.6=lime
so to make them equal
3.6-2.4=1.2
he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime

1.2 gallons is the answer

8 0

3 years ago

Which geometric figures have a measurable quantity? A. line B. angle C. point D. lin

Jlenok [28]

Answer:

Step-by-step explanation:

8 0

3 years ago

10 x to the 5th power

topjm [15]

Answer:

I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be

100,000 if it is 10 to the 5th power

If it is 10x to the 5th power then it's 100,000x

Step-by-step explanation:

I hope that helps :) explanation and answer is up!

4 0

3 years ago

Read 2 more answers