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Paladinen [302]
3 years ago
11

Factor by grouping:

Mathematics
2 answers:
BARSIC [14]3 years ago
3 0
(x-y)^2=x^2-2xy+y^2\\---------------------------\\\\4-12r+9r^2=2^2-2\cdot2\cdot3r+(3r)^2=(2-3r)^2

other\ method:\\\\4-12r+9r^2=4-6r-6r+9r^2=2(2-3r)-3r(2-3r)\\\\=(2-3r)(2-3r)=(2-3r)^2
faust18 [17]3 years ago
3 0
Because:
(a-b)^2=a^2+2ab+b^2
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A charity received a donation of 25.6 million. If this represents 54% of the charity‘s donated funds, what is the total amount o
Stells [14]

Answer:

Step-by-step explanation:

100%-54%=46%

46%*25.6m=11,776,000

25,600,000+11,776,000=

37,376,000 Answer

5 0
3 years ago
Mikayla evaluated the expression 0.86 × 23.4 using the steps shown below.
Serga [27]

Answer:

Mikayla moved the decimal incorrectly.

Step-by-step explanation:

mikayla evaluated the expression 0.86 × 23.4 using the steps shown below.

0.86

× 23.4

344

2580

+ 17200

= 201.24

LEts do the multiplication without decimals

                    8 6

            x    2 3 4

          --------------------

                  3 4 4

              2 5 8 0

            1 7 2 0 0

------------------------------

             2 0 1 2 4

0.86 has two numbers after the decimal point and 23.4 has one number after the decimal point

So we move 3 places to the left ( 20.124)

Mikayla moved the decimal incorrectly.

8 0
3 years ago
Read 2 more answers
A 4 liter bottle of Shout laundry detergent cost $7.99. A 6.5 liter bottle of Sun detergent cost $16.99. Which unit rate is lowe
blagie [28]

Answer:

4 liter detergent

Step-by-step explanation:

7.99/4=1.9975

16.99/6.5=2.6138

7 0
3 years ago
What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?
Arisa [49]

Answer:

Option A: y+7 = 25(x+4) is the correct answer.

Step-by-step explanation:

The point-slope form of an equation of a line is given by:

y-y_1 = m(x-x_1)

Here:

m is the slope of the line

(x_1,y_1) are the coordinates of the point from which the line passes.

Now looking at the given question:

m = 25\\(x_1,y_1) = (-4,-7)

Putting the values in the general form of point-slope form of equation of line

y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)

Hence, the point-slope form of given line is:

y+7 = 25(x+4)

Observing the option given, it can be concluded that Option A: y+7 = 25(x+4) is the correct answer.

6 0
3 years ago
Finance - Sheryl and Carol work at the same company and make the same salary of $64,000 per year. Carol deposits 8% of their sal
MrMuchimi

Answer:

$1792

Step-by-step explanation:

The problem statement tells you that the 8% of her salary that Carol puts in her 401(k) plan is not subject to income tax. Therefore, she is taxed on .08·64000 = 5120 less income than is Sheryl, so saves

0.35·$5120 = $1792

in income taxes over what Sheryl pays.

7 0
3 years ago
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