Answer:
(b) I, III
Step-by-step explanation:
The correct answer can be chosen based on your knowledge of the shape of the graph of f(x).
<h3>General shape</h3>
The leading coefficient of this quadratic function being positive tells you the graph will be a parabola that opens upward. The left branch of the parabola will extend to positive infinity, as will the right branch.
If there are x-intercepts, the x-values between those will be where the graph has crossed the x-axis and function values are negative.
<h3>Specific shape</h3>
The answer choices suggest that x=2 and x=5 are x-intercepts of the function's graph. These can be checked, if you like, by evaluating f(2) and f(5).
f(2) = 2² -7·2 +10 = 4 -14 +10 = 0
f(5) = 5² -7·5 +10 = 25 -35 +10 = 0
This means the function will be positive for x < 2 and for x > 5. These intervals are described by I and III.
Answer:
see below
Step-by-step explanation:
f(x) = 5x^2 + 2x − 3
(5x-3) ( x+1)
To find the x intercepts, set this equal to zero
0= (5x-3) ( x+1)
Using the zero product property
5x-3 =0 x+1 =0
5x=3 x =-1
x = 3/5 x = -1 are the zeros
End behavior
x = -infinity
5 ( -infinity )^2
5 (infinity) = infinity
as x goes to negative infinity, f(x) goes to infinity
x = infinity
5 ( infinity )^2
5 (infinity) = infinity
as x goes to infinity, f(x) goes to infinity
To plot the function, we need to plot the zeros ( or x intercepts) and the end behavior as well as the vertex to plot the graph
Answer:
27 children
Step-by-step explanation:
For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.
39 / 13 = 3
There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.
3 * 9 = 27
Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
Answer:
i
Step-by-step explanation:
