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2 years ago

Factor completely...................

Mathematics

1 answer:

defon2 years ago

3 0

Answer:

Final answer is A. $9(3x+1)(3x-2)$ .

Step-by-step explanation:

Given expression is $81x^2-27x-18$ .

$81x^2-27x-18$

$=9(9x^2-3x-2)$

We can factor that by splitting middle term into two parts then do grouping as shown below:

$=9(9x^2-6x+3x-2)$

$=9(3x(3x-2)+1(3x-2))$

$=9(3x+1)(3x-2)$

Which correctly matches with choice A. $9(3x+1)(3x-2)$ .

Hence final answer is A. $9(3x+1)(3x-2)$ .

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oksian1 [2.3K]

What kind of mathematics are you learning?

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3 years ago

Mason borrowed 1,200 from a friend to buy a new hot tub, His friend does't charge any interest and mason makes 50 payments eavh

balu736 [363]

You can identify the slope and y-intersept. The slope is 50 and the y-intercept is (0, 1200). You could also do the x-intercept, which would be the number of months passed when he pays off the debt fully. The x intercept would be (24,0)

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3 years ago

I need help with this problem

Soloha48 [4]

Answer:

$3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}$

$4. -18\\5.\ 400$

Step-by-step explanation:

Solution 3:

Equivalent fractions to are to $\frac{3}{11}$ be found out.

Method: By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

$\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}$

2. Multiply with 3:

$\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}$

3. Multiply with 4:

$\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}$

If we try to write in variable form, it can be written as:

$\dfrac{3x}{11x}$

where x is any number.

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

Solution 4:

$(2x-10)$ when $x=-4$

$2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18$

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

Solution 5:

$(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400$

4 0

2 years ago

As you were organizing your closet you counted 20 shirts and 12 pairs of pants what was the pants to shirt ratio?

NISA [10]

Answer: 5 : 3

Step-by-step explanation:

The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:

Number of shirts : Number of pants

20 : 12

Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:

= 5 : 3

This is the ratio.

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2 years ago

1.Give one number that makes the inequality x + 7 > 20 true

nata0808 [166]

1. Any number above 13 works. Why? Because 20-7=13, and to be greater than 20, you must add a number larger than 13.

Examples: 14+7 > 20, 30+7 > 20, 100+7 > 20

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To find this answer I did 200/60 and got 3.3 with a repeating 3. You must round to the higher whole number. Rounding down to 3 buses leaves you with 20 students without a bus.

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To find this answer I did 300/16 and got 18.75. You must round to the higher whole number. Rounding down to 18 boxes leaves you with 12 candies without a box.

6 0

3 years ago