divide total miles by time:
220 / 3.5 = 62.857
rounded to nearest tenth = 62.9 miles per hour
Answer:
x = 4/3
Step-by-step explanation:
f(x) = 3x - 1
f(x) = 3
set equal
3x - 1 = 3
add 1 to both sides
3x = 4
Divide both sides by 3
x = 4/3
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
Answer:
1. B
2. B
Step-by-step explanation:
To find the missing term, find the scale factor between the fractions - the number which multiplies to one to make the other.
1. 7 x __ = 35
7x 5 = 35 therefore 5 is the scale factor. Multiply 15 x 5 = 75
2. 8 x ___ = 32
8 x 4 - 32 therefore the scale factor is 4. Multiply 1 x 4 = 4.
