Answer:
7 positive integer solutions
Step-by-step explanation:
3(x-5)≤7
Distribute
3x - 15 ≤7
Add 15 to each side
3x-15+15≤7+15
3x≤22
Divide by 3
3x/3 ≤22/3
x≤7 1/3
Positive integer solutions
1,2,3,4,5,6,7 = 7
0 is neither positive nor negative
Answer: 20.833mph.
Step-by-step explanation:
Using the motion Formula,
speed = distance/time.
This means:
distance = speed * time.
To find the value of "s" in the question, we have to calculate the distance both trains travelled in terms of "s" and sum it to give us 300miles.
For train A,
Speed = S miles per hour
time taken to reach current position= 7hours.
Hence, the distance travelled by train A
Distance A = 7s.
For train B,
Speed= (S + 10)miles per hour.
time taken to reach current position= 5hours (since train B left two hours after the departure of train A)
Distance = speed * time
Distance B = (S + 10) * 5
Distance B = 5s + 50.
Hence, adding both distance to sum up to 300miles, it becomes:
300 = 7s + 5s + 50
300-50 = 12s
250 = 12s
s = 20.833mph.
Answer:
We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.
Step-by-step explanation:
We know that Jamal rewired 4 electrical outlets in 1 and one-half hours. We calculate how many electrical outlets will he rewired for 7.5 hours.
We have the following proportion:
We conclude that Jamal will rewired 20 electrical outlets for 7.5 hours.
Answer:
y = -(x - 2)^2.
Step-by-step explanation:
Vertex form is a(x - b)^2 + c where a is a constant and (b, c) is the vertex.
Here b = 2 and c = 0
So we have:
y = a( x - 2)^2 + 0
When x = 4 y = -4 so:
-4 = a( 4 - 2)^2
a = -4/2^2 = -1
So the required equation is
y = -(x - 2)^2.
Answer:
1,3 is the answer... if you look down here↓:
Step-by-step explanation:
