Answer:
-38
Step-by-step explanation:
When
the ball is in the ground, its height is basically equal to zero thus making
our equation,
<span> -16t^2 + 272t + 1344 = 0</span>
Simplifying
the equation will give us,
<span> - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>
Factoring
out the equation will give us,
<span> (t – 21)(t + 4) = 0</span>
Thus,
t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.
<span>Answer:
21 seconds</span>
Answer:256
Step-by-step explanation:
Answer:
Part A
it supposed to be x⩾-1/3 since you divided by negative
Step-by-step explanation:
Part A
4-6x⩾-15x+1
step 1: add -6x to both sides
4-6x+6x⩾-15x+6x+1
=4⩾-9x+1
step 2: subtract 1 from both sides
4-1⩾-9x+1-1
3⩾-9x
step 3: do reflexive property and divide
3⩾-9x
= <u>-9x⩽3</u>
-9
x⩽-1/3
and since you divided by negative, the sign must change. so it'll be x⩾-1/3
Answer: 13&7
Step-by-step explanation:
The sum of two numbers x&y is 20
Product of the 2numbers xy is 51
X+y=20......equation 1
XY=51.........equation 2
X=20-y.......equation 3
Substitute for x inequation 3 into equation 2
So we have;
(20-y)y=51
Open the bracket
20y-y^2=51
Collect like terms,so we have
Y2-20y+51=0
Factorise
Factors of 51 is 13&7
So -13-7=-20 &-13×-7=51
Substitute
Y2-13y-7y+51=0
Y(y-13)-7(y-13)=0
(Y-7)(y-13)=0
Y-7=0
Y=7 or
Y-13=0
Y=13
Y=13 or 7
Substitute for y in equation 1
X+y=20
X+7=20
X=20-7
X=13 or
X+13=20
X=20-13
X=7
Therefore, X &Y = 13 &7
