Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
Let
c -----> the cost of some taxi journeys
n ----> the number of miles
we know that
The graph is a line
The equation of a line in slope intercept form is
where
m is the slope
b is the c-intercept (value of c when the value of n is equal to zero)
Observing the graph we have the points
(0,2.5), (5,5.5)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
we have
-----> because the point (0,2.5) is the c-intercept
substitute in the equation of slope-intercept form
Answer:
See below ↓↓↓
Step-by-step explanation:
<u>Probability of getting heads</u>
- Outcome (head) = 1
- Total outcomes = 2
- P (head) = <u>1/2</u>
<u></u>
<u>Probability of getting an odd number</u>
- Outcome (odd) = {1, 3, 5} = 3
- Total outcomes = 6
- P (odd) = 3/6 = <u>1/2</u>
<u></u>
The outcomes are equally likely because the probabiity of each outcome is the same.
15% of 33 =
= 15% * 33
= 0.15 * 33
= 4.950 students in that class are left-handed
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
A midsegment is given by the formula:
Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:
This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:
We can do the following:
This simplifies to
:)
