Answer: -7/9
Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.
To find the slope, we need to solve for our variable <em>y</em>.
We first need to identify what is happening to our variable <em>y</em>. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.
So the first thing we do is undo addition and subtraction to our variable.
On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.
Now we can divide everything by 9 in order to get <em>y</em> by itself.
This leaves us with <em>y = -7/9x + 5</em>.
Now our slope is the multiplier or the coefficient of the <em>x</em> term which in this case is -7/9. So the slope is -7/9.
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
Learn more about polynomial here:
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Answer:
Sum of 3 angles in a triangle=180
x+55+72= 180
x+ 127=180
x= 180-127
x= 53
Answer:
-14 - 11i
Step-by-step explanation:
You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.
(-14 + 3i) - (14i)
= -14 + 3i - 14i
Combine the i's
= -14 - 11i
That's it. The -14 is the a, and the -11 is the b in a+bi.
If necessary to fill in a computer answer that is already formatted with a plus, like:
_ + _i
then use -14 for a and -11 for b.
Answer:
At break even cost = revenue
Step-by-step explanation:
A company is said to be at break even if the cost of producing an item is equal to the revenue generated from the sell of that item, that means there is no loss or gain.
If the cost function C(x) = 200 + 10x and the revenue function R(x) = 60x - x², where x is the amount of items produced. At break even, R(x) = C(x)
60x - x² = 200 + 10x
x² - 60x + 10x + 200 = 0
x² - 50 x + 200 = 0
x = 46 or x = 4 is the break even point
