Answer:
B. 5x^2 -4
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)
= x^2(4 +1) +(1 -5) . . . . . . . . collect terms
(f+g)(x) = 5x^2 -4
Answer: He could have played more than 3 games.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality.
I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).
That expression must be higher than 25, since john paid more than $25.
Mathematically speaking
10+ 5 x > 25
Solving for x
5x >25-10
5x >15
x >15/5
x> 3
He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.
Maximum number of smoothies that Erica can make with the yogurt is 5
<h3><u>Solution:</u></h3>
Given that Eric has cups of yogurt to make smoothie
Each smoothie uses of a cup of yogurt
To find: maximum number of smoothies that Erica can make with the yogurt
Let 'n' be the number of smoothies that Erica can make with the available yogurt
number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie
<em><u>Therefore we get:</u></em>
total available cups of yogurt =
cups of yogurt needed for one smoothie =
Substituting the values in above formula we get,
Thus maximum number of smoothies that Erica can make with the yogurt is 5
-14x + 7x^2 is the answer
Hello!
We are trying to describe the behavior of the graph given in the question.
To help us understand how to solve this question, we would need to understand <u>concavity.</u>
There are two types of concavity:
- Concave <em>up</em>
- Concave <em>down</em>
When a graph is concave up, the slope of the line would look like a "U".
When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.
In this case, we can see that the graph is concave down.
We can tell that the <em>slope</em> is negative due to the fact that the slope is going <u>down,</u> which results in the graph having a negative slope.
We can also tell that the graph is decreasing due to the fact that the line is doing downward.
Answer:
C). negative and decreasing