Simplify the expression. 3 2 • (8 – 3) <br> a. 16 <br> b. 13 <br> c. 25 <br> d. 37

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lubasha [3.4K]

Answer in order:

False

True

False

True

Step-by-step explanation:

All of the solutions to the equation $3x^2 - 12 = 0$ are x = 12 and x = -12

Solve:

Common factor - $3(x^2-4)=0$

Divide both sides

$x^2-4=0$

Use the quadratic formula

$x=\sqrt{4,x}=\sqrt{-4$

x = 2, x = -2

Thus, This is false..

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There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

$2x^3-18x^2+54x-72=0$

$x=5.080084$

Hence this is false

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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

$(x+3)^2=17$

$x=\sqrt{17-3,}=-\sqrt{17}-3$

Hence this is false.

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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

$(2x-1)^2=9$

x=2, x = -1

Hence this is false.

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The only solution for equation (2x-1)^2-49=0 is x = 4

$(2x-1)^2=49$

x = 4, x = -3

Hence, this is false

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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

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

$(x+2)^2=1$

x = -1, x = -3

Hence, this is true

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The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6

Add 180 to both sides

$5x^2-180+180=0+180$

$5x^2 = 180$

$x^2 = 36$

$x=\sqrt{36},x=-\sqrt{36}$

x = 6, x = -6

Hence, this is true.

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[RevyBreeze]

7 0

3 years ago

A rectangular closet is 2 feet long. It is 4 times as wide as it is long.

ipn [44]

If you want area it’s 16 if you wanted perimeter it’s 20 if your asking for the number of the width it’s 8

7 0

2 years ago

Read 2 more answers

Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte

vlada-n [284]

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

5 0

3 years ago

Mr. Pettit asks you to jog around the perimeter of the gym 3 times. The length of the gym is 65 1/2 feet and the width is 32 1/4

Ilia_Sergeevich [38]

Answer:

586.5 ft.

Step-by-step explanation:

Find the Perimeter of the gym which is a rectangle. Formula is 2 (L+W) so,

2(65.5+32.25) = 195.5ft then multiply by 3 times around the perimter of the gym

(195.5 x3= 586.5 ft)

4 0

4 years ago

In a paint factory, an old conveyer line has filled 25 barrels of paint, and is filling more at a rate of 11 barrels per minute.

Kazeer [188]

Answer:

25 minutes

Step-by-step explanation:

Worker1 is filling up at a rate of 11 per minute while worker2 is filling up at a rate of 11+1 per minute. Since worker1 has 25 extra barrels and since worker2 makes one extra barrel per minute it will take exactly 25 minutes to match worker1's barrel count.

7 0

3 years ago

Simplify the expression. 3 2 • (8 – 3) a. 16 b. 13 c. 25 d. 37