9514 1404 393
Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
_____
<em>Additional comment</em>
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
Answer:
A (4x-12)
Step-by-step explanation:
Still think of PEMDAS: 8-4(-x=5)
a) Multiply -4(-x + 5)
* -4(-x) = 4x (remember a neg x neg = pos)
* -4(5) = - 20
b) Now it reads = 8 +4x - 20
c) put all like terms together
* 8 - 20 = -12
That makes no sense, what DO you get?
The correct answer is, A, or question 1, or 2w + 3.
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Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
We have to solve two inequations:
Equation 1:
30(x-1)≥0
(x-1)≥0/30
(x-1)≥0
x≥1 (solution 1)
Equation 2:
5x²≥0
x≥0
The solution is: solution1 <span>∩ solution2
Teherefore; x≥1</span>
