Answer:
A
Step-by-step explanation:
the "-" sign simply turns everything upside-down. what was above the x-axis is now below it. and vice versa. hence, a reflection over the x-axis.
the "+6" moves then everything up by 6 units. which is a vertical shift up by 6 units.
In algebra, the conversion of a more complex number to a simpler mixed number is rather simple. For the repeated numbers, which are designated by the bar above them, we simply have to put over 9 for each number repeated and 0 for the non-repeated numbers.
In this item, we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828.... The mixed number is then equal to,
<em>1 and 28/99 or 1 and 28 over 99</em>
Therefore, the answer to this item is the second choice.
Dénote l the vertical leap, then the given equation can be written like this:
The hang time equates then 3 seconds
Answer:
Let x represents the hours and y represents the total fees(in dollars)
As per the statement:
(a)
For a house call, a veterinarian charges $70, plus $40 an hour
"$40 an hour" means 40x
then;
the equation we get;
.....[1]
(b).
Find the x-intercept.
x-intercept states that the graph cross the x-axis.
Substitute y = 0 in the equation and solve for x;
we get;

y-intercept states that the graph crosses the y-axis i.e
Substitute x= 0 in the equation and solve for y;

Therefore, x-intercept and y-intercept of equation [1] are:
and 70
Answer:
D)2
Step-by-step explanation:
ƒ(x) = x²/4 - 5; 3 ≤ x ≤ 5
Calculate the values of f(3) and f(5)
f(3) = 3²/4 - 5 = 9/4 - 5 = -2.75
f(5) = 5²/4 - 6 = 25/4 - 5 = 1.25
Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = [1.25 -(-2.75)]/(5 - 3) = 4.00/2
= 2.00
The average rate of change is 2.00.
In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval (3, 5).
The value of ƒ(x) increases by two units for every unit that x increases.