Answer:
The derivative of the function does not exist.
Step-by-step explanation:
The alternative form of a derivative is given by:
Our function is defined as:
h(x)=|x+8|
i.e. h(x)= -(x+8) when x+8<0
and x+8 when x+8≥0
i.e. h(x)= -x-8 when x<-8
and x+8 when x≥-8
Hence now we find the derivative of the function at c=-8
i.e. we need to find the Left hand derivative (L.H.D.) and Right hand derivative (R.H.D) of the function.
The L.H.D at a point 'a' is calculated as:
Similarly R.H.D is given by:
Now for L.H.D we have to use the function h(x) =-x-8
and for R.H.D. we have to use the function h(x)=x+8
L.H.D.
we have a=-8
= 
similarly for R.H.D.
Now as L.H.D≠R.H.D.
Hence, the function is not differentiable.
Answer:
75.40 inches
Step-by-step explanation:
If it is its circumference, then the answer is self-evident, 24 inches. If it is its diameter, then we must do a little calculation, multiplying the diameter by Pi to reach 75.40 inches.
a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 9
Putting x=62 in Eqn 1
Putting x=62 in Eqn 2
Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
122 strawberries
Step-by-step explanation:
divide 2928 by 24 to get the number of strawberries in each box
We first must find the value of angle z.
Angle z = 90° - 42°
Angle z = 48°
We now use the sine function to find y.
sin(48°) = 35/y
y = 35/sin(48°)
y = 47.0971455362
We now round off to two decimal places.
y = 47.10
I hope this helps....
