Answer:
x = 9
Step-by-step explanation:
Use the equation of the line, and let y = 0. Then solve for x.
y = 2/3 x - 6
Let y = 0:
0 = 2/3 x - 6
Add 6 to both sides.
6 = 2/3 x
Multiply both sides by 3/2.
3/2 * 6 = x
x = 9
Answer:
let 'a' be the first term, 'd' be the common difference between all the terms of the sequence
Step-by-step explanation:
therefore, a = 3,
and, d = -9 -3
= -12
hence the 14th term would be,
=> a + 13d
=> 3 + 13( -12 )
=> 3 - 156
=> - 153
Work:
2x+5(6x+23)=-13
2x+30x+115=-13
32x=-128
x=-4
y=6(-4)+23
y=-24+23
y=-1
The answer is (-4,-1)
Hopefully this helps!
Answer:
Mean volume shipped per trailer load = 2960 ft³
Step-by-step explanation:
Since both trailers are always full,
Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³
Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³
Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.
Mean volume shipped per trailer load = total volume shipped/number of shipments
Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³
Number of shipment in the basis used = 10
Mean volume shipped per trailer load = 29600/10 = 2960 ft³
Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
