Answer:
x=2
Step-by-step explanation:
h(8)=5x-2
+2 +2
10=5x
Divide both sides by 5
x=2
Answer:
Pat t2 = 40 hrs
Step-by-step explanation:
Given:-
- Fred can paint a house in t1 = 10 hours.
- Pat can paint a house in t2 hours.
- pat and Fred can paint a house in T = 8 hours.
Find:-
Which equation, when solved will produce the number of hours need for pat to paint the house alone
Solution:-
- The number of people working on a particular activity " painting a house " is inversely proportional to time taken to complete the activity. tn = T. The relation for individual time taken ti to complete an activity.
Sum ( 1 / ti ) = 1 / T
Where, ti = The individual time for (ith) person
T = The total time taken to complete the time by i = n number of people.
- For n = 2,
1/t1 + 1/t2 = 1/T
1/10 + 1/t2 = 1/8
1 / t2 = 0.025
t2 = 40 hrs
- It takes Pat t2 = 40 hrs to complete painting the house.
Answer:
10x+5h-1
Step-by-step explanation:
Find f ( x + h) and f (x), and plug these values into difference quotient formula.
First multiply C by F by multiplying each row in C by each column in F:
12 * -2 + 0*0 + 1.5*2 12*0 + 0*8 + 1.5*1
1*-2 -6*0 +7.2 1*0-6*8 +7*1
to get a matrix of:
-21 1.5
12 -41
Now subtract that matrix from B:
2- -21 = 2+21 = 23
8 - 1.5 = 6.5
0.6 - 12 = -11.4
3 - -41 = 3+41 = 44
So you have:
23 6.5
-11.4 44
Which makes C the correct answer.
Answer: y = 1.50x + 19 and y = 2.75x + 14
y = 25
x = 4
Both services will charge an equal cost of $25 for 4 hours.
