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Anarel [89]
3 years ago
9

Expand and simplify: (x+2)(x+2)

Mathematics
1 answer:
allsm [11]3 years ago
7 0
Use foil which is a lazy way to remember theh distributive property
goes like this
multiply
First terms
Outer terms
Inner terms
Last terms
and add them all toegethe

so
(x+2)(x+2)
First: x times x or x²
Outer: x times 2 or 2x
Inner: 2 times x or 2x
Last: 2 times 2 or 4

add them toegether
x²+2x+2x+4=
x²+4x+4


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The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.
deff fn [24]

Answer: (B) 3 times as fast

<u>Step-by-step explanation:</u>

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

\dfrac{f(5) - f(1)}{5 - 1} = \dfrac{73.8-112.5}{5-1} = -\dfrac{38.7}{4} = -9.675

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

\dfrac{f(15) - f(11)}{15 - 11} = \dfrac{39.2-25.7}{15-11} = -\dfrac{13.5}{4} = -3.375

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

7 0
3 years ago
Can i have help plzzzzz
leonid [27]

Answers:

Choice C)  1.5 + AB = 3.7

AB = 2.2  cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

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

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

1.5 + AB = 3.7

AB = 3.7 - 1.5

AB = 2.2

Notice how,

1.5 + AB = 1.5 + 2.2 = 3.7

to help confirm our answer.

5 0
2 years ago
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