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3 years ago

g is related to one of the parent functions Use function notation to write g in terms of f. g(x) = √x+4 + 8

Mathematics

1 answer:

Lyrx [107]3 years ago

8 0

Answer:

g(x) =f(x+4) +8

Step-by-step explanation:

rewrite the g in terms of f

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Which groups fled England during the reign of Charles I?

NemiM [27]

I think it was the patriates

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3 years ago

Read 2 more answers

the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1

mixas84 [53]

$\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}$

Since this can't happen, let's suppose that P=150, then:

$\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}$

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

$\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}$

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

$\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}$

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

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2 years ago

Hence, or otherwise, write down the coordinates of the turning point of the graph of

Inessa05 [86]

Answer:

$\frac{1}{2} \frac{45}{2}$

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3 years ago

I'm begging, please-

ollegr [7]

Answer: Hope this one helps :)

Part A: The length of each side is units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

-->

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

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3 years ago

How to put 8x - 7y = 23 into slope intercept form

viva [34]

Y = mx + b is the slope intersect form.

so 8x - 7y = 23
-7y = -8x + 23
y = -8x/-7 + 23/-7
y = 8/7x - 23/7 Ans

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4 years ago