Answer:
D: 2/3x - 13/12 = -5/12x
Step-by-step explanation:
2/3x - 5/6 = -5/12x + 1/4
To simplify, the denominator must be the same. So,
5/6 = 10/12
and 1/4 = 3/12
Then, you move the values to the same side via addition or subtraction.
2/3x (- 10/12 - 3/12) = -5/12x
2/3x - 13/12 = -5/12x
Answer:
6 6/8
2 5/8
------------
2.57142857143
or 2 57/100
Step-by-step explanation:
sorry if this is wrong
9514 1404 393
Answer:
s ≤ 4(0.20×80)
Step-by-step explanation:
The maximum Jason spends each week is 0.20 × $80. Then the amount (s) he spends in 4 weeks will be less than or equal to 4 times this product.
s ≤ 4(0.20×80)
You take the derivative of the position equation s(t) = -3 + 4
![t^{2}](https://tex.z-dn.net/?f=%20t%5E%7B2%7D%20)
and you get v(t) = 8t
now plug in 5
v(5) = 40
40 m/s
is your answer
<h3>
Answer: y = x^3+2x^2+3</h3>
========================================================
Explanation:
If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.
We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3
Now plug in x = 1 and y = 6 from the point (1,6)
y=ax^3+bx^2+3
6=a(1)^3+b(1)^2+3
6 = a+b + 3
a+b = 6-3
a+b = 3
Now plug in the coordinates of (-1,4) which are x = -1 and y = 4
y=ax^3+bx^2+3
4=a(-1)^3+b(-1)^2+3
4 = -a + b + 3
-a+b = 4-3
-a+b = 1
-----------------------------
Here are the two equations we're interested in
a+b = 3
-a+b = 1
We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4
We're left with 2b = 4 and it solves to b = 2
Use any of the equations involving 'a' and b to determine that a = 1
-----------------------------
To summarize we have
a = 1
b = 2
c = 3
This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.
Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.