We have an equation: (5+b)/2= 5
⇒ 5+b= 5*2
⇒ 5+b= 10
⇒ b= 10-5
⇒ b= 5
Final answer: b=5~
Answer:
Hence, the average rate of change is:
Step-by-step explanation:
We are asked to calculate the average value of the function:
in 2 ≤ x ≤ 6
The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:
Now,
Hence, the average rate of change is:
Hence, the average rate of change is:
The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
Answer:
there are 40 eighths in 5
Step-by-step explanation:
40/8 (the fraction)
40÷8=5
is that what the question is asking?
Answer:
3 units right 1 unit up
Step-by-step explanation:
just observe one point that exactly the same on the new abcd and start from counting left/right then up/down
