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3 years ago

Select the system of linear inequalities whose solution is graphed.

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

$y\geq 3x-1$ ; $x+3y\leq 6$

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

$x+3y\leq 6$

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

$y\geq 3x-1$

therefore

The system of linear inequalities is

$y\geq 3x-1$ ; $x+3y\leq 6$

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0.345 recurring as a fraction please - the 3 and 5 are recurring

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Answer:

The decimal 0.345 expressed as a fraction is 69200 .

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1 year ago

8/f = 56/105 what is f?

svetlana [45]

8/15 = 56/105

This may be solved using proportion.
a/b = c/d
ad = bc where cross products are equal.

a = 8
b = f
c = 56
d = 105

ad = bc
8*105 = f*56
840 = 56f
840/56 = 56f/56
f = 15

56 ÷ 7 = 8
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3 years ago

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Answer:

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Step-by-step explanation:

The exponential regression model can be written as exponential function

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Then

$5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.$

Thus,

$y=5,000\cdot (1.05)^x.$

When $x=12,$ you get

$y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.$

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3 years ago

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Add 2 to 20 then multiply by 3

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Answer:

that would be 7.33

Step-by-step explanation:

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2 years ago

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There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

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Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

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This means that $\mu = 20.1, \sigma = 5.1$ .