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vekshin1
3 years ago
10

Which shows one way to determine the factors of x^3 - 9x^2 + 5x - 45 by grouping ?

Mathematics
1 answer:
adoni [48]3 years ago
7 0
You can group first two conjunctions and second two:
x^3 - 9x^2 + 5x - 45=(x^3-9x^2)+(5x-45).
In first brackets you have common x^2 and in second brackets common is 5:
(x^3-9x^2)+(5x-45)=x^2(x-9)+5(x-9)=(x-9)(x^2+5).
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Veseljchak [2.6K]
2becaude 10a -3 =7 colonial
7 0
3 years ago
Read 2 more answers
Margot has 21 1/2 pounds of flour 8 pounds of butter and 18 1/2 ponds of sugar to make shortbread cookies if she makes 12 batche
adell [148]

Answer:

<em>4 pounds of ingredients are used in each batch.</em>

Step-by-step explanation:

Amount of flour = 21\frac{1}{2}pounds = \frac{43}{2}pounds

Amount of butter = 8 pounds

Amount of sugar = 18\frac{1}{2}pounds= \frac{37}{2} pounds

So, the <u>total amount of all ingredients</u> will be:   (\frac{43}{2}+\frac{37}{2}+8)pounds = (\frac{43+37+16}{2}) pounds= \frac{96}{2} pounds = 48 pounds

Given that, she makes 12 batches of cookies using all the ingredients.

Thus, the amount of ingredients used in each batch =\frac{48}{12} pounds = 4 pounds

5 0
3 years ago
Which expression is a way to represent the ratio of a to b?<br>obia<br>ob to a​
mash [69]

Answer:23

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ASAP.
alexandr1967 [171]

Answer:

Y' = (-2, 4\frac{2}{3})

Step-by-step explanation:

Given

Y = (-3,7)

Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

Y' = Scale\ Factor * Y

For, the x coordinates.

Y' = \frac{2}{3}x

Where

x = -3

Y' = \frac{2}{3} * -3

Y' = \frac{-6}{3}

Y = -2

For the y coordinates:

Y' = \frac{2}{3}y

Where

y = 7

Y' = \frac{2}{3} * 7

Y' = \frac{14}{3}

Y' = 4\frac{2}{3}

Hence:

Y' = (-2, 4\frac{2}{3})

3 0
3 years ago
Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
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