Answer:
7x-34 because...
product means multiply the variable x by 7
7x
decreased mean we subtract 34 from 7x
7x-34
Answer:
The maximum height of coin Jake tosses is 15 feet.
Step-by-step explanation:
Given Jake tosses a coin up in the air
and the height of coin is model by h(t)=
To find height of the coin when Jake tosses it:
When a coin is in the hand of Jake, time t=0
Height of coin is h(t)=
h(0)=
h(0)=6 feet.
Therefore, Height of coin at time t=0 is 6.
For maximum height of the coin,
h(t)=
Differentiating both side,
![\frac{d}{dt}h(t)=\frac{d}{dt}[(-16)t^{2} +24t+6]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7Dh%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B%28-16%29t%5E%7B2%7D%20%2B24t%2B6%5D)
![\frac{d}{dt}h(t)=\frac{d}{dt}[(-32)t+24]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7Dh%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B%28-32%29t%2B24%5D)
![\frac{d}{dt}[(-32)t+24]=0](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5B%28-32%29t%2B24%5D%3D0)
t=
t=
t=0.75
Now,
h(t)=
h(0.75)=
h(0.75)=15 feet.
The maximum height of coin jake tosses is 15 feet.
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y = x + 7 → (2)
Substitute y = x² + 2x + 7 into (2)
x² + 2x + 7 = x + 7 ( subtract x + 7 from both sides )
x² + x = 0 ← factor out x from each term on the left side
x(x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 → y = 0 + 7 = 7 ⇒ (0, 7 )
x = - 1 → y = - 1 + 7 = 6 ⇒ (- 1, 6 )
Answer:
15.500000
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
46.5 ÷ 3 = 15.500000
and therefore:
4.65 ÷ 0.3 = 15.500000
Both calculated to 6 decimal places. There, I Solved It For You! :)
Answer: (-9, 3.4)
Step-by-step explanation:
