You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft
Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4
Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.
3c+15c/4+c=6
Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.
Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Answer:
Correct
Step-by-step explanation:
4y = 3x Divide each side by 4
4y ÷ 4 = 1y
3x ÷ 4 = 0.75x
12y = 9x Divide each side by 12
12y ÷ 12 = 1y
9x ÷ 12 = 0.75x
We can see in both equations that 1y = 0.75x
(1y = just y) So the constant of proportionality can be written as y = 0.75x
All of your explanations and descriptions are accurate.
Answer:
Quadrant 4
Step-by-step explanation:
x > 0 means towards right of the origin
y < 0 means below the origin
So Quadrant 4
Answer:
$32000
Step-by-step explanation:
Let last years salary was $x
Therefore,
x + 3% of x = $32960
x + 0.03x = $32960
1.03x=$32960
x = 32960/1.03
x = $32,000
So, last year's salary was $32000.