Answer:
The required expression is:
Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
where
- m is the rate of change or slope
In our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
Please check the attached graph too.
Answer:
\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]
Step-by-step explanation:
Given is a matrix 3x3 as
![\left[\begin{array}{ccc}1&0&2\\-3&1&4\\2&-3&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%262%5C%5C-3%261%264%5C%5C2%26-3%264%5Cend%7Barray%7D%5Cright%5D)
|A| =2 hence inverse exists.
Cofactors are 16 20 7
6 8 3
2 2 1
Hence inverse =
![\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D16%266%262%5C%5C20%268%262%5C%5C7%263%261%5Cend%7Barray%7D%5Cright%5D)
Answer: (1) 
; (2) 340 miles. See details below.
Explanation:
The key here is to know that given the speed and time traveled you can determine the (distance traveled) as (speed) x (time).
They want us to keep the time traveled for the first part of the journey as a variable, so let us do that. The speed during the first part is 65mph, so the distance for the first part is
Knowin that the total ride was 6 hours, the distance in the second part (with speed of 40 mph) is as follows:
So the total distance in terms of t is:
(this is the answer to the first question). Note that t can range form 0 to 6 hours but outside of this range the expression is not applicable.
If we know t=4 hours:
The answer to the second question is 340 miles.
Answer:
17 no for side c
take 37 degree as reference angle
using sine rule
sin 37 =p/h
0.60=6/c
0.60c=6
c=6/0.c0
c=10
for side d
using pythagors theorem
H^2=P^2+B^2
(10)^2=(6)^2+B^2
100=36+B^2
100-36=B^2
64=B^2
=B
8=B
Step-by-step explanation:
