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Sergio [31]
3 years ago
9

{(2, –3), (4, 6), (6, 6), (2, 3)} Function or not

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

function

Step-by-step explanation:

(2-3)x4.6x6.6x2.3fmi○

↓

-1x4.6x6.6x2.3fmi○

-1x4.6x6.6x2.3fmx1

↓

-1x4.6x6.6x2.3fm

-69.828fm

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Factorize<br>please <br>help<br>me <br><br><img src="https://tex.z-dn.net/?f=a%20%7B%7D%5E%7B2%7D%20%20-%204b%20%7B%7D%5E%7B4%7D
Vsevolod [243]

Answer:

(a+2b^{2} )(a-2b^2)

Step-by-step explanation:

You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

a^2-b^2=(a+b)(a-b)

So,

a^2-(2b^2)^2

you can work the equation backward now and you will get your original equation.

8 0
3 years ago
10. The average age of 4 boys is 14 years, when one boy leaves the group, the average age of the remaining boys becomes 15 years
Hatshy [7]

Answer: the 4th boy is 11

Step-by-step explanation:

Let's denote the age of the boys as: x₁, x₂, x₃, x₄.

Then,

\displaystyle\\\frac{x_1+x_2+x_3}{3}=15

Multiply both parts of the equation by denoting by 3:

x₁+x₂+x₃=15(3)

x₁+x₂+x₃=45

Hence,

\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14

Multiply both parts of the equation by denoting by 4:

45+x₄=14(4)

45+x₄=56

45+x₄-45=56-45

x₄=11

3 0
2 years ago
4 more than 8 times x
Margaret [11]

Answer:

idu

Step-by-step explanation:

4+8*12=45

5 0
3 years ago
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Well, we have to have the price to be able to answer this. What is the price? Then I will be able to answer! :) Comment the price and I’ll comment the answer
8 0
3 years ago
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Which function describes the vertical shift up 2 units and left 2 units to the original function: f(x) = ex
Marrrta [24]

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2

3 0
3 years ago
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