9514 1404 393
Answer:
58. 2 real roots; see attached for a graph
59. -6, 3
Step-by-step explanation:
58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.
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59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.
Answer:
B
Step-by-step explanation:
It is linear.
We can see the right side are multiples of 3. So the equation so the table is:
c = 3h
When h = 5 c = 15
c = 3h
c = 3*5
c = 15
When h = 12 c = 36
c = 3h
c = 3*12
c = 36
The constant rate of change between cost and time is 3.
Another way to solve is check for rate of change using 2 points on the chart.
Let's choose h = 5 c = 15 and h = 12 c = 36
The normal equation for rate of change is:
m = in this case we have h and c so:
h₁ = 5 h₂ = 12
c₁ = 15 c₂ = 36
So:
Now that we know it's 3 we use slope intercept form to find the equation.
y = mx + b ( m = 3) and we plug in a point to find b.
y = 3x + b h = 5 (x) c = 15 (y)
15 = 3(5) + b Solve for b.
15 = 15 + b Subtract 15 from each side.
15 - 15 = 15 - 15 + b
0 = b b is 0 showing our equation was correct.
y = 3x or c = 3h