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Mamont248 [21]
3 years ago
5

When determining if you have a perfect square trinomial, what must the first and third term be?

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

The expansion of a perfect square is

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

In words, the square of a sum of two terms is the sum of the squares of the two terms (a^2 and b^2), plus twice the product of the two terms (2ab)

So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.

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Which of the following pairs of functions are inverses of each other?
AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0
2 years ago
IM DUMB.Someone smart helppppp ill give brainlest​
Montano1993 [528]

Answer:

x=45

Step-by-step explanation:

Each triangle had 180 degrees in all and the picture shows it has a right angle.   180-90=90

90/2=45

Because there are two angles left without measurement.

3 0
3 years ago
Find the rate of change: Mike can bike 3 miles in an hour. What is the speed at which mike can bike?
masya89 [10]
Rate  of  change=<span><span>change  in  y divided by </span><span>change  in  <span>x
y= 3,6,9
x= 1,2,3
The numbers chosen above are because if mike travels 3 miles in one hours then he can travel 6 miles in two hours and 9 miles in 3 hours. 
Change in y = 3
Change in x = 1
3 / 1 = 3
So, the rate of change is 3.</span></span></span>
3 0
3 years ago
Why do bank charges transaction fees​
r-ruslan [8.4K]

Answer:To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...

Step-by-step explanation:

7 0
3 years ago
Anybody help me please!!!!!!!!
Mamont248 [21]

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

8 0
2 years ago
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