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2 years ago

BIG POINTS ANSWER WITH DETAIL! Solve for x: 3x + 1 = 3x

1 answer:

6 0

There are no solutions to this problem,

Let's solve your equation step-by-step.
3
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1
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3
x
Step 1: Subtract 3x from both sides.
3
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1
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3
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3
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3
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1
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Step 2: Subtract 1 from both sides.
1
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1
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1
0
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1

There are no solutions

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A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
-----------------------------------------------------------
$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

-----------------------------------------------------------
$\bf \text {Answer : } 69.77 \cm^3$
-----------------------------------------------------------

6 0

3 years ago

Graph f(x) =x and g(x) =-1/3x+2

Serjik [45]

Hello! I'll write the instructions to graph these functions.

f(x)=x
Technically, this function is y=x, so the slope would be 1. To graph this one, start at the origin (0,0) and move up one unit, and to the right one unit since this is a positive slope.

g(x)= -1/3x+2
First, plot a point at y=2 when x=0. 2 is your y-intercept. Your slope is negative, so the line will be decreasing. From your first point, head down 1 unit and to the right 3 units. Continue plotting points from the previous points.

Also, if you have a graphing calculator, here are the steps to graphing the functions: ON, Y= (enter your functions), and press GRAPH or 2nd, TABLE to see individual points. Hope this helps! :)

3 0

3 years ago

From the set (76, 77, 78), use substitution to determine which value of x makes the equation true

jeyben [28]

Answer:

The answer is C.

Step-by-step explanation:

Multiply 4 by 76, 77, and 78.

4 * 76 = 304

4 * 77 = 308

4 * 78 = 312

304 = 304, so C is the correct answer.

Hope this helps!

7 0

3 years ago

B(x)=x+4, what is b(-10)

vovikov84 [41]

Answer:

B(-10)=-6

Step-by-step explanation:

we have

B(x)=x+4

we know that

B(-10) is the value of the function B(x) for the value of x=-10

substitute the value of x=-10 in the function

B(-10)=-10+4=-6

therefore

B(-10)=-6

8 0

3 years ago

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she

AlladinOne [14]

Step-by-step explanation:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

4 0

3 years ago