Answer: A) Yes, it is a solution.
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Explanation:
Replace every x with -3 and simplify both sides.
3x - 2 < 2 - 2x
3(-3) - 2 < 2 - 2(-3)
-9 - 2 < 2 + 6
-11 < 8
Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.
Therefore, x = -3 is a solution.
The ordered pair is (-2, -3)
Step-by-step explanation:
- Step 1: To find whether an ordered pair is a solution, substitute values of x and y and see whether it satisfies the equation.
(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1
(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1
(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1
(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1
So the ordered pair is (-2, -3)
From the equation of motion, we know,
Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A = 
since the ball is thrown upwards.
Plug the known values into the equation.
=> 
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top = 
=> 
Solving for s we get
s= 14.16 m
The answer is A.
He ran for six (6) miles every day. 4 in the morning and 2 at night = 6 per day.
He did this for four (4) days. The way to figure this would be to go 6 * 4. This equals 24 miles.
Go back a few steps (punny!).
So days multiplied by how many miles he ran a day which is calculated by miles in morning added to miles at night.
days*(miles per morning + miles per night)
days=4
miles per morning=4
miles per night = 2
4 * (4+2)
Calculating this out....
4 * (4+2)
(4+2 = 6)
4 * 6 = 24.
So A is the answer.
