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omeli [17]
3 years ago
5

twice the difference between a number and 10 is equal to 6 times the number plus 14. what is the number?

Mathematics
1 answer:
laiz [17]3 years ago
4 0
Let the number be n.  Then 2(n-10) = 6n + 14.

Multiplying out the left side, 2n - 20 = 6n + 14.  Thus, -34=4n, and n = -17/2.
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A fair coin is a coin whose head and tail appears in an equal probability of 50% each. what is the probability of obtaining eith
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7 0
3 years ago
The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i
nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600  Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0  Combine

-x^3+3x^2+900x- 2700 = 0           Group  the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0  Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0       Reverse -x^2 + 900 to  900 - x^2

(900 - x^2)(x - 3) = 0          factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


3 0
3 years ago
Divide. −2 4/7 Enter your answer as a mixed number, in simplified form,
jarptica [38.1K]
I guess it's -24/7. So 24 divided by 7 is 3 remainder 3
The minus sign remains. So that will be -3 3/7
Hope I helped. Goodluck
5 0
2 years ago
How would I solve y=5x-2 & -14x+y=16 in a substitution equation
Aleks04 [339]
You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16

Then you would solve for “x”
x=2

You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2

Which would then give you a value for “y”
y=12
So the answer is (2,12)

7 0
2 years ago
What is 32 rounded to the nearest hundred
Anni [7]
It would be 100 since it it the closest 100


7 0
3 years ago
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