A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
Try this option:
1. for vertex (2;1) the first equation is: h=-b/2a, it means 2=-b/2a or b=-4a;
2. for vertex (2;1) the second equation is: ax²+bx+c=y, it means 1=4a+2b+c;
3. for point (6;7) the third equation is: ax²+bx+c=y, it means 7=36a+6b+c.
4. using three equation, it is possible to make up the system of equations (and solve it). Details are in the attached picture.
answer:
The graph is in the attachment.
To solve the set of equations given above, we can use the substitution
method where we substitute one equation to the other and solving for one
variable. We do as follows:
<span>0.4x - 0.1y = 2
x = 5 + 0.25y
0.2x + 0.5y = 1
</span>0.2(5 + 0.25y)+ 0.5y = 1
y = 0
x = 5
<span>Therefore, the correct answer from the choices is option A, (5,0).</span>
Answer:
$5.75
Step-by-step explanation:
Find the difference between the weeks as this will give you the difference hence the amount deposited each week
0->1
is 12.00->17.75
diffrence is $5.75
1->2
is 17.75->23.50
diffrence is $5.75
the amount saved each week is $5.75