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3 years ago

Factor 3x^2-14x+8 ...?

2 answers:

8 0

The equation that needs to be factorized is

3x^2 - 14x + 8 = 3x^2 - 12x - 2x + 8
= 3x(x - 4) - 2(x - 4)
= (3x - 2)(x - 4)

I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.

Bad White [126]3 years ago

6 0

Since you have 3x^2 then (3x ) (x ) try to find the values for x
(3x-2) (x-4)
why -2 and -4 you ask??
check by multiplying

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Hpw to find exponential decay equation of radioaxtive subsrance

max2010maxim [7]

I believe you are referring to the half-life formula, which is used to calculate the half-life (when the substance drops to half of its original amount) of radioactive substances. The equation is as follows: $A = P(.5)^{t/h}$

A is the remaining amount
P is the initial amount
t is the time that has passed
h is the half-life of the substance

When plugging values into the equation, make sure that t and h are both measured in the same unit (e.g. t days and h days), as well as A and P.

5 0

3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

$\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640$

To have a profit of 200, we need to sell:

$-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2} = 60$

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0

3 years ago

Ramona owns a orange grove, and needs to harvest at least 2616 oranges to cover the costs of running the grove. If each tree bea

GuDViN [60]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information :

Number of oranges Ramona needs to harvest in other to cover the cost of running the orange Grove = 2616

Average number of oranges each tree bears = 62

Oranges needed for charity donation = 360

Number of orange trees needed in the Grove :

Total number of oranges needed :

(Charity + running the Grove)

(360 + 2616) = 2976 oranges

Number of trees needed = total number of oranges needed / average number of oranges beared per tree

Number of trees needed = 2976 / 62

= 48 trees

Number of trees needed ≥ 48

4 0

3 years ago

Please help me with this problem

olga nikolaevna [1]

The third one i think

5 0

2 years ago

2 less than three times a number is the same as the number plus 10

GenaCL600 [577]

3x - 2 = x + 10
So, 2x = 12 and x = 6

4 0

3 years ago