Answer:
A. (3, -1)
Step-by-step explanation:
The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16
Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:
Substitute x = 3 and y = -1 into 4x - 3y < 16
4(3) - 3(-1) < 16
12 + 3 < 16
15 < 16 (TRUE)
Answer:
P=(-4,-5)
Step-by-step explanation:
we are given
point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B
It means that point P divides line segment AB into 1:2 form
A=(-8,-13)
B=(4,11)
4=-8+12
11=-13+24
It means that x-value increases by 12 units
y-value increases by 24 units
P is 1/3 the length of the line segment from A to B





so, point P is (-4,-5)
Answer:
The money they will have to pay is <u>$861</u>.
Step-by-step explanation:
Given:
The swim team has 41 people on their team.
They need new swim gear the swim caps cost $5 and the swim suit cost $16.
Now, to find the money they will have to pay.
Number of people on the swim team = 41.
Cost of swim caps = $5.
Cost of swim suit = $16.
Now, to get the total money they will have to pay:
<u><em>Number of people on the swim team× (cost of swim caps + cost of swim suit)</em></u>



Therefore, the money they will have to pay is $861.
Answer:
56.25 feet.
Step-by-step explanation:
h(t) = 60t - 16t^2
Differentiating to find the velocity:
v(t) = 60 -32t
This equals zero when the ball reaches its maximum height, so
60-32t = 0
t = 60/32 = 1.875 seconds
So the maximum height is h(1.875)
= 60* 1.875 - 16(1.875)^2
= 56.25 feet.
I’m going with 22 because 10x2 is 20 then 10x4 is 40 then 40+20 is 60 so the answer would be 22 because I would also have to add the other 2 to the problem. I’m so so so sorry if I did this wrong