<u>Answer:</u>
gradient = =
y-intercept =
<u>Step-by-step explanation:</u>
• The slope-intercept form of an equation takes the general form:
,
where:
m = slope,
c = y-intercept.
• We are given the equation:
To change this into the slope-intercept form, we must make y the subject:
[subtract from both sides]
⇒ [divide both sides by 3]
⇒
• Comparing this equation with the general form equation, we see that:
m =
c = .
This means that the gradient is , and the y-intercept is .
Answer:
Axis of Symmetry: x = -4
Vertex: (-4, 54)
Step-by-step explanation:
We use a graphing calc.
Answer:
You must mix 2.67 gals. of pure alcohol to obtain the desired mixture.
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25