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Alika [10]
3 years ago
14

Drag the numbers to the correct locations on the image. Not all numbers will be used. Complete the synthetic division to find th

e quotient of 3x3 - 25x2 + 12x - 32 and x - 8

Mathematics
2 answers:
emmasim [6.3K]3 years ago
7 0

Answer:

quotient of 3x3 - 25x2 + 12x - 32 and x - 8 is 3x^2-x+4

Korvikt [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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3 years ago
The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

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The original expression evaluates to 54.4 as shown in the first working.

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For some reason, 3.4 got transcribed to be 1.7 in the 3rd line of the second working. There is no math operation in the expression that requires 3.4 to be divided by 2.
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3 years ago
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What is the square root of 67 times 15? I get lost in the numbers.
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67 times 15 will be 1005
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