Answer: A
Step-by-step explanation:
5x-2=3x+8
X=5
That's your answer
Answer: 3.44
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
3 × 9 = 27
Step 2: Add the product you got in Step 1 to the numerator:
27 + 4 = 31
Step 3: Divide the sum from Step 2 by the denominator:
31 ÷ 9 = 3.444444
The answer to 3 4/9 in decimal form is displayed below:
3 4/9 ≈ 3.44
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:
Answer:
The correct option is A)
.
Step-by-step explanation:
Consider the provided information.
Paco bought 3 CDs that cost d dollars each.
Let d is the cost of each CDs.
The cost of 3 CDs will be 3 times of d.
This can be written as:

He bought a pack of gum for C cent. Thus, we can say that the cost of pack of gum is C.
Now add the cost of gum in above expression.

Hence, the required expression is
.
Thus, the correct option is A)
.