Answer:
x = -4/45
Step-by-step explanation:
180x=2(30÷3)+17-5•11+2÷1
We need to simplify the right hand side. The first step is the parentheses
180x=2(10)+17-5•11+2÷1
Then multiply and divide, working left to right from the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Now we add and subtract working left to right from the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Divide each side by 180
180x/180 = -16/180
x = -4/45
2,000.....................
Answer:
As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.
Step-by-step explanation:
The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,
If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.
As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x) will approach too negative infinity.
Since p(x) has an odd degree, but negative leading coefficient,
(-)*(-) = +
And this means that p(x) approaches positive infinity
The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.
<u><em>Explanation</em></u>
The profit of a company receives is given by the expression: 
Simplifying this expression using distributive property, we will get .....
So, the simplified expression for profit will be: 
As 
represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, <u>we need plug 
and 
separately into the above expression</u>.
For , Profit 
For , Profit 
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
