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4 years ago

Factor Completely plsssss (25points)

1 answer:

4 0

Ax²+bx+c
when a=1 then it is easy
find what 2 numbers myltiply to get c and add to get b
example, if they were d and e then it would factor to
(x+d)(x+e)
if it was -d and e then
(x-d)(x+e)

so

x²+8x+12
what 2 numbers multiply to get 12 and add to get 8?
6 and 2
(x+6)(x+2)

w²+2w-24
what 2 numbres multiply to -24 and add to 2?
-4 and 6
(w-4)(w+6)

x²-11x+24
what 2 numbers multiply to get 24 and add to get -11?
-3 and -8
(x-3)(x-8)

x²-5x-36
what 2 numbers multiply to get -36 and add to get -5?
-9 and 4
(x-9)(x+4)

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3 years ago

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3 years ago

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Answer:

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3 years ago

Hey can someone help me? thanks

almond37 [142]

Answer:

Option D.

Step-by-step explanation:

We know that we have a function r(x) that has a horizontal asymptote at y = -8

Then, what can we say about the function:

s(x) = r(x + 2) - 1 ?

Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.

So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.

So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.

Then is easy to conclude that:

r(x + 2) also has a horizontal asymptote at y = -8

And our function is:

s(x) = r(x + 2) - 1

So we are subtracting one, then that horizontal asymptote will be at:

y = -8 - 1 = -9

The function s(x) has a horizontal asymptote at y = -9

And because r(x) is continuous, then:

s(x) = r(x + 2) - 1

is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)

Then the correct option is D.

"s(x) is continuous and has a horizontal asymptote at y = -9"

7 0

3 years ago

HELPS ASAP!<br> Write an equation for each line.

ehidna [41]

Answer:

y = -x + 2

Step-by-step explanation:

for this problem, you need the equation of a line.

the equation for a line -----> y = mx + b

m = the slope ( $\frac{rise}{run}$ )
b = the y-intercept of the line

1) b is always the easiest to find! it's always where y = 0. when you look on the graph, you will see that when y = 0, x = 2. that's the y-intercept!

y = mx + 2

2) let's find the slope now! rise is how much the line increases or decreases (up or down), run is how far across the line moves (left to right).

- this line <u>decreases </u> 2 spaces and is moving left 2 spaces

- 2/2 = 1

y = 1x + 2 or y = x +2

3) the final step is seeing if this line is negative or positive. the way you can tell is if it increasing or decreasing. this line is decreasing and you can tell because it starts high in the left corner, and falls in the bottom right.

y = -x + 2

comment or message if you are still confused!

7 0

3 years ago

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