Answer:
28/33
Step-by-step explanation:
We first let 0.84 be x.
Since x is recurring in 2 decimal places, we multiply it by 100.
100x=84.84
Next, we subtract them.
100x−x=84.84−0.84
99x=84
Lastly, we divide both sides by 99 to get x as a fraction.
x=84/99
=28/33
The time that the ball is in the air if the player lets the ball drop is 2.145 sec
What is a quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
-16t²+32t+5
by comparing this equation to the standard form of the quadratic equation we get
a=-16 b=32 c=5
the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:
the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)
t = -32/2×-16
t=1sec
by putting h(t) to zero and determining the time (t) when the ball hits the ground:
-16t²+32t+5=0
-16(t²+2t+5/16)=0
t²-2t-5/16=0
(t)²-2×1×t+(1)²-5/16=1
(t-1)²=21/16
t-1=√21/√16
t=1+4.58/4
t=1+1.145
t=2.245sec
Learn more about quadratic equations here:
brainly.com/question/1214333
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H +t = 8
$6h + $7t ≤$50
h+t = 8
h +t-t=8-t
h= 8-t
$6(8-t) + $7t ≤$50
48-6t +7t≤50
48-48+t≤50-48
t ≤ 2
h=6
$6(6) + $7(2) ≤$50
36 + 14 ≤ 50
50≤50
He can buy 6 pounds of ham and 2 pounds of turkey
Answer: y = 10 + x / 5
Step-by-step explanation:
Combine like terms
c+5.3=0.6
Subtract 5.3 from both sides
c=-4.7