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professor190 [17]
3 years ago
9

Which of the equations shown will have infinitely many solutions? Select the TWO that apply. A 3x−1=3x+13 x minus 1 is equal to

3 x plus 1 B 2x−1=1−2x2 x minus 1 is equal to 1 minus 2 x C 3(x−1)=3x−33 times open paren x minus 1 close paren is equal to 3 x minus 3 D 2x+2=2(x+1)2 x plus 2 is equal to 2 times open paren x plus 1 close paren E 3(x−2)=2(x−3)
Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

Step-by-step explanation:

Am equation with infinite number of solution means that the equation has uncountable solutions.

Let's analyse each options

For the expression 3x-1 = 3x+1

Collect like terms

3x-3x = 1+1

0x = 2

Divide both sides by 0

x = 2/0

x = infinity

This shows that the expression 3x-1 = 3x+1 has infinite number of solution

Also considering the third expression

3(x-1) = 3x+3

Open the parenthesis

3x-3 = 3x+3

Collect like terms

3x-3x = 3+3

0x = 6

x = 6/0.

x = infinity

Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.

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An air traffic controller is tracking two planes.To start Plane A was at an altitude of 990 meters and plane B was at an altitud
soldi70 [24.7K]

The equation representing when the two planes would be at the same altitude is 9x=486

<h3>In terms of mathematics, what is an equation?</h3>

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

To learn more about equations from given link

brainly.com/question/25678139

#SPJ9

8 0
1 year ago
If an apple pie recipe calls for 3 pounds of candy apples then how many cups of canned apples required
lesya692 [45]

Answer:

Seven cups of canned apples are required to make apple pie recipe

Step-by-step explanation:

The weight of one canned apple is 0.45 pounds

Weight of total canned apple required to make the apple pie recipe is 3 pounds.

Total number of cups of canned apples required

= \frac{3}{0.45} \\= \frac{300}{45} \\= \frac{20}{3} \\

So approximately seven cups of canned apples are required to make apple pie recipe

5 0
3 years ago
172.5/5.75 abcdefghijk
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Answer:

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6 0
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The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac
nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

\displaystyle A=\frac{1}{2}\pi r^2

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

Substitute:

\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

Simplify:

\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

Evaluate:

\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3

The volume of the solid is π/40 cubic units.

4 0
3 years ago
Find the volume of the prism.
hichkok12 [17]

Answer:

B is the answer sorry if it was wrong :)

Step-by-step explanation:

7 0
3 years ago
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