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2 years ago

Which of the following systems of Inequalities would produce the region indicated on the graph below?

Mathematics

2 answers:

Fed [463]2 years ago

7 0

The line rising to the right has equation y = x + 2
and the other one has equation y = -x + 4

the lines are solid so the inequalities will be <= or >=

in both case the shading is below so the sign is <=

also x and Y values are both positive
so the answer is choice C

marissa [1.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

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A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

Mice21 [21]

A = a^2.....where " a " is the length of one side
A = 79

79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a

so the length of one side is approximately 8.89 ft <==

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2 years ago

Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

Gwar [14]

Answer:

Step-by-step explanation:

$A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}$

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2 years ago

Read 2 more answers

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x2 to the number of x-intercepts in

Natalija [7]

Important: Please use " ^ " to indicate exponentiation:

<span>"f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2."

Notes: the graph of f(x) = x^2 is a vertical parabola that opens up. It has its vertex at (0,0). This is the only point at which f(x)=x^2 has a horiz. intercept.

g(x) = x^2 + 2 has a graph that looks the same as that of f(x) = x^2, EXCEPT that the whole graph is moved 2 units UP. This new graph never touches or intersects the x-axis. Therefore, g(x) has NO horiz. intercepts (no x-int.).

</span>

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2 years ago

The box plot shows the number of cousins students in Mr. Myers class have. Which statement about the data must be true

nikitadnepr [17]

Answer:

We choose C

The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

Please have a look at the attached photo

My answer:

Given the information in the photo, we can know that:

Median: 7

Upper quartile: 9
Lower quartile: 4
Interquartile range: 9 - 4 = 5
Lower quartile to median: 7 - 4 = 3
Upper quartile to median: 9 - 7 = 2

Let analyse 4 answers:

A. Wrong, Lower quartile to median is more than Uper quartile to median

B. Wrong

C. True

D. Wrong

7 0

2 years ago

Read 2 more answers

A tank initially contains 40 ounces of salt mixed in 100 gallons of water. a solution containing 4 oz of salt per gallon is then

stellarik [79]

Let $A(t)$ be the amount of salt in the tank at time $t$ . We're given that $A(0)=40$ . The rate at which this amount changes is given by

$A'(t)=\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{4\text{ oz}}{1\text{ gal}}-\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ oz}}{100+(5-5)t\text{ gal}}$

$A'(t)+\dfrac{A(t)}{20}=20$

$e^{t/20}A'(t)+e^{t/20}\dfrac{A(t)}{20}=20e^{t/20}$

$\bigg(e^{t/20}A(t)\bigg)'=20e^{t/20}$

$e^{t/20}A(t)=400e^{t/20}+C$

$A(t)=400+Ce^{-t/20}$

Since $A(0)=40$ , we get

$40=400+C\implies C=-360$

so that the amount of salt at time $t$ is

$A(t)=400-360e^{-t/20}$

After 20 minutes, the tank contains

$A(20)=400-360e^{-20/20}\approx267.56\text{ oz}$

6 0

1 year ago