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elena55 [62]
3 years ago
9

Find the product of each sum and difference. (2l + 9)(2l – 9)

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

360

Step-by-step explanation:

(i think that is a 1 not an L)

21 + 9 equals 30. And 21-9 equals 12. So you would multiply 30*12 which gives you your answer!

<h2>360</h2>
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For an irrational number x = 3 + 2√2 , find out what will be the nature of the number x + 1 /
Wittaler [7]

It will be irrational. The sum of any irrational and rational number will ALWAYS result in a irrational answer. Khan Academy has a video on this if you want to watch it.
3 0
3 years ago
Factor each expression 8+16
astraxan [27]
<span>The individual factors for each integer along with the common factors and greatest common factor will be shown. Factors of 18 are 1, 2, 3, 6, 9, 18. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.</span>
6 0
3 years ago
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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many wo
kotykmax [81]

Answer:  96 workers

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8 x 6= 48

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4 0
3 years ago
What is the coefficient of y in the expression 3 ⋅ 4 + 5y?
ZanzabumX [31]
<h3>Answer: 5</h3>

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