Answer:
Step-by-step explanation:
We want to simplify:
Recall the Pythagorean Identity:
So:
Substitute:
Factor. We can use the difference of two squares pattern:
Cancel. Hence:
Given the following values for a quadratic function, which is the graph of the function? (–1, 0), (0, 3), (1, 4), (2, 3), (3, 0)
Firdavs [7]
Answer:
The function of the graph is f(x) = - x² + 2x + 3
Step-by-step explanation:
Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.
Using the x-intercepts we can form the function of the graph:
-(x + 1)(x - 3) - we have a negative in front of the two brackets because the function is a negative. Now we multiply out the brackets and the negative at the end:
-(x² - 2x - 3)
- x² + 2x + 3 - So the function of the graph is:
f(x) = - x² + 2x + 3
Answer:
3) (x-5)^2+y^2=36
Step-by-step explanation:
Answer:
B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.
Step-by-step explanation:
Answer:
The linear function model the situation is b = 210 - 15x .
Option (B) is correct .
Step-by-step explanation:
Let us assume that the number of times giselle uses the club be x .
As given
giselle pays $210 in advance on her account at the athletic club.
Each time she uses the club,$15 is deducted from the account.
Let suppose that the money left after giselle uses the club x times is b .
Than the equation becomes
Money left = Amount pay in advance - Deducted amount × Number of times giselle uses the club .
Put all the values in the above
b = 210 - 15 × x
b = 210 - 15x
Therefore the linear function model the situation is b = 210 - 15x .
Option (B) is correct .
Answer:
Step-by-step explanation:
2x+2≤x+4≤3x+4
means : 2x+2≤x+4 ...(1) and x+4≤3x+4
(1) : 2x-x≤4-2 so : x≤2....(*)
(2) :3x+4 ≥x+4 .... 3x-x ≥ 0 so: x≥0 ....(**)
by (*) and (**) : 0≤x≤2 so : A=0 and B = 2
