Answer:
Wikipedia defines polynomials as "<em>an expression consisting of variables and coefficients</em>."
You would think that F(x) would not be a polynomial, but you could think of it like this:
F(x) = 0x + 1050
So, yes, I suppose constant terms by themselves are polynomials, it's just that they only have one term and would not really be called a <em>poly</em>-nomial.
You should probably research some more just in case.
Answer:
x = 4 and y = 0
Step-by-step explanation:
Using the elimination method:
4(-x + 5y=-4) --> -4x + 20y = -16.
Now we add -4x + 20y = 016 and 4x + 3y = 16. This gives us 23y = 0 or just y =0.
Now we can find x by plugging in y.
-4x + 0 = -16.
Divide by -4 on both sides -> x = 4.
If you want to double check you can plug your values into -4x + 20y = -16.
-4(4) +20(0) = -16.
Answer:
See the second attachment for long division by hand. The first attachment shows the "work" I would usually do.
Step-by-step explanation:
In college math, you are generally expected to be able to make use of a scientific and/or graphing calculator. Division is one of the simpler operations these devices can perform.
If you are doing long division by hand, use the method you were taught in 3rd or 4th grade. The one shown is one of several different methods being taught now.
Find the slope first:
m=y2-y-1/x2-x1
m=2-10/-3-1
m= -8/-4
m= 2
Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b
Rewrite the equation with your slope &intercept:
y=2x + 8
That's ^ the equation that describes your line!
Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is

years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then

Multiply this equation by 5:

The sister is 11 years old.