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storchak [24]
4 years ago
14

The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. In which quadrant(s) is the graph of t

he function V(s)?
A)quadrant I
B)quadrant II
C)quadrants I and II
D)quadrants I and III
Mathematics
2 answers:
victus00 [196]4 years ago
7 0

Answer:

The answer is the option A

quadrant I

Step-by-step explanation:

Let

s-----> the length side of a cube

V----> the volume of a cube

we know that

the volume of a cube is equal to

V=s^{3}

The volume in function notation is

V(s)=s^{3}

Remember that

The volume and the side length can not be a negative number

The domain and the range of the function are all real positive numbers

so

the graph of the function V(s) belong to the I quadrant

iVinArrow [24]4 years ago
5 0
The answer is D because the function is a cubic function. if you graph for example, x³, it would be in Q. 1 and 3
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cluponka [151]

Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

x^2+y^2=2

x^2+(2x^2-3)^2=2

x^2+(4x^4-12x^2+9)=2

x^2+4x^4-12x^2+9=2

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4x^4-11x^2+7=0

x^4-11x^2+28=0

(x^2-7)(x^2-4)=0

(4x^2-7)(x^2-1)=0

4x^2-7=0

4x^2=7

x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

x^2-1=0

x^2=1

x=\pm1

y=2x^2-3

y=2(\pm\sqrt{\frac{7}{4}})^2-3

y=2({\frac{7}{4}})-3

y=\frac{7}{2}-3

y=\frac{1}{2}

y=2x^2-3

y=2(\pm1)^2-3

y=2(1)-3

y=2-3

y=-1

Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

4 0
2 years ago
10t+<img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formula">1
Umnica [9.8K]

Answer:

The answer is t\geq 20.

Step-by-step explanation:

To solve the inequality, start by solving for the variable t.

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Then, divide both sides by 6.5 in order to get the variable t by itself. The inequality answer will look like t\geq  20.

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3 years ago
.<br> Put f(x) = x2 + 3 in y2.
saveliy_v [14]

Answer:

(X2+3)2

Step-by-step explanation:

First, you have to substitute in what f(x) equals for y since f(x) stands for y.

By doing this, the equation turns into (x2+3)2, because x2+3 is y, and 2 because the original equation way y2.

After you substitute, the answer is (x2+3)2.

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lara31 [8.8K]

Answer:

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Step-by-step explanation:

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After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.

To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).

Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372  were shipped within 24 hours.

The hypothesis can be defined as follows:

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Thus, Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

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strojnjashka [21]
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Hope this helped
6 0
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