Answer:
2.58 seconds
Step-by-step explanation:
When you complete the square, you get ...
h = -16(t -9/16)^2 +60 +81/16
Then the solution for h=0 is ...
t = (x -9/16)^2 = 1041/256
t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58
It takes about 2.58 seconds for the ball to hit the ground.
Answer:
See below
Step-by-step explanation:
Part A: The expression would be (4x+5)(3x+10), or, when expanded, 12x^2+55x+50 since the area of a rectangle is length*width
Part B: The degree is 2 because it's classified as a quadratic and trinomial expression
Part C: The closure property of polynomials is that polynomials will be closed under an operation if the operation produces another polynomial. For example, since we had to multiply two binomials in Part A, the exponents of x get combined to make x^2 (because x^1*x^1=x^(1+1)=x^2)
Answer:
124<369
Step-by-step explanation:
M= movie cost
v= video cost
Create two equations with the given information. Solve for one variable in equation one. Use that answer to substitute into equation two.
2m+12v=$44
5m+3v=$29
Solve for one variable in equation 1:
2m+12v=44
Subtract 12v from both sides
2m=44-12v
Divide both sides by 2
m=(44-12v)/2
Substitute m answer in equation two:
5m+3v=$29
5((44-12v)/2)+3v=29
(220-60v)/2+3v=29
Multiply everything by 2 to eliminate the fraction
(2)(220-60v)/2+(2)(3v)=(2)(29)
220-60v+6v=58
220-54v=58
Subtract both sides by 220
-54v= -162
Divide both sides by -54
v= $3.00 cost per video
Substitute v value to find m value:
2m+12v=$44
2m+12(3.00)=44
2m+36=44
Subtract both sides by 36
2m=8
Divide both sides by 2
m=$4.00 cost per movie
Check:
5m+3v=$29
5(4.00)+3(3.00)=29
20.00+9.00=29
29=29
Hope this helps! Please mark me as brainliest if it does. :)
