Answer:
The value of c is calculated by dividing the numerical coefficient of the left-hand side of the equation by 2 and squaring the quotient obtained. That is,
c = (3/2)^2
Simplifying,
c = 2.25
Therefore, c, which is added to both sides of the equation will have the value equal to 2.25.
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I don't either it is quite hard to be fair
I can't see the whole question
One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
Answer: $ 436.81
Step-by-step explanation:
Given: Hourly rate for Peggy= $7.50
Also, she receives 9% of the gratuities earned by all the staff.
Total hours she worked = 35 hours
Total gratuities = $1936.80
Gross pay = (Hourly rate ) x (Number of hours worked)+ 9% of (Total gratuities )
= $ [(7.50 ×35)+(0.09 ×1936.80)]
= $ (262.5 +174.31)
= $ 436.81
Hence, her gross pay = $436.81
