Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
You would need to draw a graph or get some graph paper and plot those points. Then calculate the rise and the run. Rise is over the run. Then that is your slope. You get the rise by counting how many units up or down it takes to get to the point, and for the run, you count how many units across it is to get to the point. don't forget, if your units are going in a negative direction, then the number will be negative.
Answer:
x=9
z=73
Step-by-step explanation:
Angle 107 and 8x+35 are vertical angles, so they are equal
107 = 8x+35
Subtract 35 from each side
107-35 = 8x+35
72 = 8x
Divide by 8
72/8 = 8x/8
9 =x
We also know that 107 and z are supplementary angles since they form a straight line. This means they add to 180 degrees
107+z = 180
Subtract 107 from each side
107-107+z=180-107
z =73
Answer:
The couch is $778 and the table is $389
Step-by-step explanation:
9514 1404 393
Answer:
arc SU ≈ 2.62 . . . units
Step-by-step explanation:
The arc length is given by ...
s = rθ
where r is the radius, and θ is the central angle in radians.
arc SU = ST·STU = 3·(50°·π/180°) = 5π/6
arc SU ≈ 2.62 . . . units
