Answer:
12m
Step-by-step explanation
If the height of the ball after x seconds be modelled by the equation
h(x)=−(x−2)² +16
The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0
To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;
h(0) = -(-0-2)²+16.
h(0) = -(-2)²+16
h(0) = -4+16
h(0) = 12
The height of the ball at the time the ball is thrown is 12m
Answer:
Step-by-step explanation:
in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i
if your problem really only has a 7 and an i in it.. then it looks like below
7 * i = 7i
but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already :)
Answer:
x-intercept = (-9,0)
y-intercept = (0,27)
Step-by-step explanation:
So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).
Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.
Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).
Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.
So we have: 9x -3(0) = -81
Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).
Hope this helps you :)
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get
= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
