Answer:
8 seconds.
Step-by-step explanation:
To solve this question, we need to find the time,
, when
, that is, when the height of the object above the ground is 0 feet.
Substituting
feet per second and
gives the quadratic:

Since 128 is divisible by 16, it can be reduced to
.
We must now solve for
.
We can easily see that one answer to the equation is 0,
(we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.
The second answer,
is also easy to see by inspection:
.
Therefore the object lands 8 seconds after it is thrown.
Answer:
B $10.45
Step-by-step explanation:
Fist you find how much the 2 boxes of cracker cost
$3.50 * 2 = $7
Then subtract the amount of 2 crackers by the $0.80 coupon
$7 - $0.80 = $6.20
Then add that amount to the cost of a jar of peanut butter
$6.20 + $4.85 = $11.05
Then add that about for with the amount of a package of juice boxes
$11.05 + $2.40 = $13.45
Then subtract the total amount to the $3.00 coupon
$13.45 - $3.00 = $10.45
B $10.45 is your answer
The answer is x=2
show you step-by-step
step 1:simplify both sides of the equation.
(4)(x)+(4)(2)=6x+4
4x+8=6x+4
step 2:subtract 6x from both sides.
4x+8-6x=6x+4-6x
-2x+8=4
step 3: subtract 8 from both sides
-2x+8-8=4-8
-2x=-4
step 4: divide both sides by -2
-2x/-2= -4/-2
x=2
that helps you
Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)