Step-by-step explanation:
You have studied polynomials consisting of constants and/or variables combined by addition or subtraction. The variables may include exponents. The examples so far have been limited to expressions such as 5x4 + 3x3 – 6x2 + 2x containing one variable, but polynomials can also contain multiple variables. An example of a polynomial with two variables is 4x2y – 2xy2 + x – 7.
Many formulas are polynomials with more than one variable, such as the formula for the surface area of a rectangular prism: 2ab + 2bc + 2ac, where a, b, and c are the lengths of the three sides. By substituting in the values of the lengths, you can determine the value of the surface area. By applying the same principles for polynomials with one variable, you can evaluate or combine like terms in polynomials with more than one variable
Answer:
C. x > 3
Step-by-step explanation:
As long as you don't multiply or divide by any negative numbers*, <em>you can solve this the same way you would an equation</em>.
3x +2 > x +8
3x > x +6 . . . . . . subtract 2
2x > 6 . . . . . . . . subtract x
x > 3 . . . . . . . . . .divide by 2; matches choice C
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* The complete rule is "as long as you don't use any order-changing operations, ...". There are some functions you can apply to both sides of the inequality that will change the ordering. Multiplication or division by a negative number is only one of many.
1 < 2
-1 > -2 . . . . . multiplication by -1 reverses the order
Answer:
by 12 months both prices will be 180.
Step-by-step explanation:
If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.
Hope this helps
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
50 is not a perfect square because it does not have a perfect square root where as 49 is 7, 121 is 11, and 1 is 1
