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3 years ago

What is the system of inequalities associated with the following graph?

Mathematics

2 answers:

Alborosie3 years ago

8 0

Answer: We can find the inequalities.

One inequality has a line with y-intercept 2 and slope -1.

The inequality is y >= -x + 2

The other inequality has a line with y-intercept -1 and slope -4.

The inequality is y >= -4x - 1

The system of inequalities is

y >= -x + 2

y >= -4x - 1

You can move the x-terms to the left side to get these inequalities.

x + y >= 2

4x + y >= -1

The answer is B.

Step-by-step explanation:the best I can put it sorry.

makvit [3.9K]3 years ago

3 0

B is the right answer

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The expanded notation of the number 53 961 will be

Harman [31]

50000 + 3000 + 900 + 60 + 1

That is the expanded form

6 0

2 years ago

Find the volume of the solid under the plane 3x+2y−z=0 and above the region enclosed by the parabolas y=x^2 and x=y^2.

Yuri [45]

The region in the x-y plane is the set of points

$R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}$

The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.

So the volume is

$\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx$

$=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}$

5 0

3 years ago

Laws involving positive integral exponents to zero & negative integral exponents.

fiasKO [112]

Answer:

Both are correct

Step-by-step explanation:

Paul used the following identities:

$a^{-b}=1/a^b$
$a^b*a^c=a^{b+c}$

Anthony used the identity:

$a^b/a^c= a^{b-c}$

3 0

3 years ago

a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 1

Elenna [48]

The radius of the container is 2 centimeter

<h3>Solution:</h3>

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

The volume of cylinder is given as:

$\text {volume of cylinder }=\pi r^{2} h$

Where "r" is the radius of cylinder

"h" is the height of cylinder and $\pi$ is constant has value 3.14

Substituting the values in formula, we get

$\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}$

Taking square root on both sides,

$r = \sqrt{4}\\\\r = 2$

Thus the radius of the container is 2 centimeter

4 0

3 years ago

Can someone help please?

suter [353]

Answer:

the answer is 864mm's

Step-by-step explanation:

okay so this is my explanation for you

6 0

3 years ago