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Minchanka [31]
3 years ago
12

Determine whether the two expressions are equivalent. Explain your reasoning.

Mathematics
1 answer:
dlinn [17]3 years ago
6 0
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
    (n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
    NOT EQUIVALENT

9. 3x + 5 and  2(x + 3)
    2(x + 3) = 2x + 6  which is not equal to 3x + 5.
    NOT EQUIVALENT

10. 15 - 6x and  15(1 - 6x)
    15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
    NOT EQUVALENT

11. (y + y + 2 + y) + 3y and 6y + 2
    (y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
    It matches the other expression.
    EQUIVALENT

12. 8y - 3 + 10y and 3(6 - 1)
    8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
    3(6 - 1) = 3(5) = 15
    The two expressions do not match.
    NOT EQUIVALENT.

Answer: Only the expressions in number 11 are equivalent.
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Can anyone help me?! Will give 20 points and brainiest!
Aleonysh [2.5K]
8)
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4x - 3x = 2 +3
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2y +7 = 4y - 9
4y - 2y = 7+9
2y = 16
y = 2

9)

2x - 2 = x + 2
2x - x = 2+2
x =4

5y - 8 = y+24
5y - y = 24 +8
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3 0
4 years ago
Read 2 more answers
The square of a negative number is twenty-eight more than three times the negative number. Find the number.
MAXImum [283]
The number is x

it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero

x-7=0
x=7
this is not the answer because we were told the number was negative


x+4=0
x=-4
correct

the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check


the number is -4
8 0
3 years ago
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I wasted 10 points for this, but if u seen this link
Firdavs [7]
Ok thank you for letting me know
3 0
3 years ago
You are buying 12-packs of Mountain Dew for $\text{4.50}4.50 each and have a gift card worth $77. The function m\left(x\right)=4
poizon [28]

Answer:

$191

Step-by-step explanation:

The function is given by :

m(x) = 4.50x-7 ...(1)

Where

m(x) is the total cost if you buy x 12 packs of Mountain Dew.

We need to find the cost you pay to buy 44 12-packs of Mountain Dew

Put x = 44 in equation (1), we get :

m(x) = 4.50(44)-7

m(x) = 198-7

m(x) = $191

Hene, the cost for 44 12- packs of Mountain Dew is $191.

7 0
3 years ago
Five spheres are being painted for a display at a store. If the diameter of each sphere is
ivanzaharov [21]
<h2>Hello!</h2>

The answer is:

The total area is:

TotalArea=192.4cm^{2}

<h2>Why?</h2>

To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.

We know that the diameter of each sphere is 7 centimeters, so, calculating we have:

Calculating the radius we have,

diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm

Then, calculating the area, we have:

Area=\pi radius^{2}

Area=\pi 3.5cm^{2}=38.49cm^{2}

Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.

So, calculating we have:

TotalArea=5*38.48cm^{2}=192.4cm^{2}

Hence, the total area is:

TotalArea=192.4cm^{2}

Have a nice day!

4 0
3 years ago
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