Answer:
The circumference of the yellow circle is
or
approximately, the circumference of the blue circle is
or
approximately, the circumference of the green circle is
or
approximately, the circumference of the red circle is
or
approximately, and the circumference of the pink circle is
or
approximately.
Step-by-step explanation:
To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by
. In this case, the circumferences of the yellow circle are
or approximately
, the circumference of the blue circle is
or approximately
, the circumference of the green circle is
or approximately
, the circumference of the red circle is
or approximately
, and the circumference of the pink circle is
or approximately
.
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function
.
Now, the rate average rate of change of a function from
to
is given by
.
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e.
i.e. f(0) = 3
and
i.e.
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is
i.e.
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Answer:
The answer is 24.
Step-by-step explanation:
If you multiply 3/4 by 8, you would get 6. Then, subtract 6 from 30, you would get 24. Larry's profit would be only $24.
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)