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:
1,961.6
Step-by-step explanation:
Answer:x≥17
Step-by-step explanation:
Let's solve your inequality step-by-step.
4(x−3)≥56
Step 1: Simplify both sides of the inequality.
4x−12≥56
Step 2: Add 12 to both sides.
4x−12+12≥56+12
4x≥68
Step 3: Divide both sides by 4.
4x4≥6
8
4
x≥17
Answer:
-3x + 4y = 40.
Step-by-step explanation:
Let's convert the equation to standard form:
y - 4 = 3/4(x + 8)
y - 4 = 3/4 x + 6
y = 3/4x + 10
Multiply through be 4:
4y = 3x + 40
-3x + 4y = 40 (answer).
