Answer:
Let's factor x2+3x−18
x2+3x−18
The middle number is 3 and the last number is -18.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 3
Multiply together to get -18
Can you think of the two numbers?
Try -3 and 6:
-3+6 = 3
-3*6 = -18
Fill in the blanks in
(x+_)(x+_)
with -3 and 6 to get...
(x-3)(x+6)
Answer:
(x−3)(x+6)
Step-by-step explanation:
Answer:
62.5% of the parking spaces are taken.
Step-by-step explanation:
Given
To determine
What percent of the parking spaces are taken?
The percentage of taken spaces of the part can be determined using the formula
% of Taken spaces = [Taken spaces / Total Spaces ] × 100
= [1875 / 3000] × 100
= 0.625 × 100
= 62.5%
Therefore, 62.5% of the parking spaces are taken.
Answer:
A. lim [x ⇒ -∞] g(x) = -5 . . . . . . written in text form, not typeset
Step-by-step explanation:
A horizontal asymptote is a line that the function approaches but never reaches. It represents the limiting value that the function can have. (The function can come as close to that value as you like for some value of x, but can never actually reach that value.)
Here, you're told the asymptote for negative x values is -5. That means g(x) gets closer and closer to -5 for values of x that are more and more negative. That is, as x approaches infinity, g(x) approaches -5. We say -5 is the limit of g(x) as x approaches negative infinity.
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The attached graph shows a function that has characteristics like those of g(x).
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This question is about vocabulary: what is the meaning of "asymptote" and "limit", and how do you read a description of a limit written using math language.
Of what? The surface area of what?
Answer:
+ 25
Step-by-step explanation:
b² + 10b
using the method of completing the square
add ( half the coefficient of the b- term)²
b² + 2(5)b + 25
= (b + 5)² ← a perfect square