Answer:
x = 1 or
x = - 7
To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.
Answer:
y-intercept is (0,4)
and the slope is 0
Step-by-step explanation:
Their car broke down 120 miles from home.
- Let d be Jerry and Milton's distance from home where their car broke down.
- Let t be the time it takes to travel to d with a speed of 30 mph.
- Let t' be the time it takes to travel back home at 20 mph.
<h3 /><h3>Finding the required equations</h3>
Since both distances to and fro are the same, we have that
30t = d (1) and 20t' = d (2)
30t = 20t' (3)
Also, since they wer gone for 10 hours, we have that t + t' = 10 (4)
So, t' = 10 - t
<h3 /><h3>Solving for t</h3>
Substituting t' into (3), we have
30t = 20(10 - t)
30t = 200 - 20t
30t + 20t = 200
50t = 200
t = 200/50
t = 4 hours.
<h3 /><h3>Solving for d</h3>
Substituting t into (1), we have
d = 30t
= 30 × 4
= 120 miles
So, their car broke down 120 miles from home.
Learn more about distance from home here:
brainly.com/question/24744891
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
Answer:
c
Step-by-step explanation:
