Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Answer:
x = -5
Step-by-step explanation:
We don't know what equation solver you're supposed to use. Here are the results from one available on the web.
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
3x-11=17-4x add 4x to both sides
7x-11=17 add 11 to both sides
7x=28 divide both sides by 7
x=4
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.