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.
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
...(i)
The slope intercept form is
...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
Therefore, the rate of change is -25 dollars.
Answer:
0.27
Step-by-step explanation:
Suppose A is the event of defect in the brake system and B is the event of defect in the fuel system,
We have given,
P(A) = 0.25,
P(B) = 0.17
P(A∩B) = 0.15 ( the probability of defects in both systems simultaneously is 0.15 ),
We know that,
P(A∪B) = P(A) + P(B) - P(A∩B)
= 0.25 + 0.17 - 0.15
= 0.27
Hence, the probability that the defect is the brakes or the fueling system is 0.27.
Answer:
84°
Step-by-step explanation:
smallest angle=x
3x=2nd angle
x+40=3rd angle
angles in a triangle add up to 180 degrees so
5x+40=180
5x=140
x=28
largest angle = 3x
so 3 x 28 = 84 degrees
The largest angle is 84 degrees
Answer:
<em>8.880,8.808,8.018,8.008</em>
