Answer:
5 hours
Step-by-step explanation:
$39 + $5.8*t < $73.80
To solve it, collect the constant terms on the right side:
5.8*t < $73.80 - $39 = $34.08
t < $34.08 divided by 5.8 = 5 hours.
Idk if this is correct, I had a question like this on a test and this is what I did. So plz don't be mad if it's wrong.
Answer:
2640 cubes
Step-by-step explanation:
20 cm x 12 cm x 11 cm = 2640 cm^3
Answer:
B.)
Step-by-step explanation:
baby :p
Answer:
When x=1/2, y=28/3
when x =0, y=9
Equation is y=2/3 x + 9
Step-by-step explanation:
First lets convert them to fractions to make it easier. Also put them in order.
X Y
0
1/2
3/4 19/2
1 29/3
6/5 49/5
You can find the slope since we know 2 points.
(3/4, 19/2) and (6/5, 49/5)
m=3/10 / 9/20
m=2/3
y=2/3 x + b
Lets plug in x and y points to find the y-int
19/2=2/3(3/4) + b
b=9
Therefore y=2/3 x + 9
When x=1/2, y=28/3
when x =0, y=9
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
![t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting:
![\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
