Example: 3^4 would be 3x3x3x3
Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
Answer:
62 and 63
Step-by-step explanation:
n + n + 1 = 125
2n + 1 = 125
2n = 124
n=62
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
<u>Part A</u>
Set f(x)=0 and factor the expression by grouping:
Use the Zero Product Property to find the x-intercepts:
Hence, the x-intercepts for the graph of f(x) are 
and 
.
<u>Part B</u>
Find the x-coordinate of the vertex:
Find the y-coordinate of the vertex:
Hence, the vertex is 
. We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.
<u>Part C</u>
You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is 
, or 
as an ordered pair. See attached graph.
