Answer:
2x³ + 5x² - 12x
Step-by-step explanation:
The correct answer doesn't seem to be listed...
(fg)(x) = (2x² - 3x)(x + 4)
Which equals...
2x²(x) + 2x²(4) + (-3x)(x) + (-3x)(4)
Which simplifies to...
2x³ + 8x² - 3x² - 12x
2x³ + 5x² - 12x
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Answer:
The candle will not use all the paraffin from the original block.
Step-by-step explanation:
The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.
If the height of the cone is 25 cm, then total volume of the cone shaped candle is
= 
= 163.69 cubic cm.
Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.
Since, 192 > 163.69
Therefore, the candle will not use all the paraffin from the original block.
5/7
explanation: (5-0)/(7-0) = 5/7
