For question 1
x²-12x+36
An easy and efficient way to remember how to factor is to see the different parts of the polynomial.
If the last number (in this case 36) has the multiples which add up to the middle number (12), then the polynomial is factorable. 36 has the multiples (6,6) which add up to 12.
Now check the symbols, if the symbol before the last number is a +, that means the two factors have the same symbol. Now see the symbol before the middle number. If its a negative, the factors would be minus as well.
x²-12x+36
(x )(x )
(x- )(x- ) Same symbol as (-)12x
(x-6)(x-6) Multiples of the last number (36)
x²-12x+36 = (x-6)(x-6)
Answer:
A = 226.08
Step-by-step explanation:
Assuming that you are wrapping the sides of the cylinder and the circular top and bottom, then the formula for the surface area of the cylinder is:
A=2πrh+2πr^2 so substitute for each variable A=2(3.14)(3)(9) + 2(3.14)(3)^2
notice how I substituted 3 for the radius since it is 1/3 of 9 (the height)
Solving we get A = 169.56 + 56.52 = 226.08
1) Number of letters Matilda has sorted after x hours: m(x)Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:m(x)=50+50xwhere:Number of hours: x
Number of letters Lorraine has sorted after x hours: l(x)Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour:l(x)=80+40xwhere:Number of hours: x
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours?Total number of letters they have sorted after x hours: f(x)
f(x)=m(x)+l(x)f(x)=(50+50x)+(80+40x)f(x)=50+50x+80+40xf(x)=90x+130
Answer: The function Matilda and Lorraine can use to determine the total number of letters they have sorted after x hours is f(x)=90x+130
2) How many letters will they have sorted after 6 hours?
x=6→f(6)=?f(6)=90(6)+130f(6)=540+130f(6)=670
Answer: They will have sorted 670 letters after 6 hours
Answer: First option: The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
f(x) = 2^(4x)
g(x) = 2^x
(fg) = 2^4x * 2^x = 2^5x
NOTE: When multiplying two powers with same base exponents add.
(f/g)(x) = (2^4x)/(2^x) = 2^3x
NOTE: And when dividing they subtract.
Answer: a and c
//Hope it helps.
Brittany was playing with 11 marbles on the ground and her friend Natasha was playing with 23 so they couldn't play a game together. then Brittany's friend lent her some amount of marbles that made it so they could play together. what expression could you use to describe this problem?
