Answer:
y = (-1/5)x - 9
Step-by-step explanation:
15y = -3x - 135
Divide both sides by 15
y = (-1/5)x - 9
Answer:
Step-by-step explanation:
a³+b³=(a+b)(a²-ab+b²)
x³+216=x³+6³=(x+6)(x²-6x+6²)=(x+6)(x²-6x+36)
Answer:
11
Step-by-step explanation:
Luke has a square patio, which means each side must have the same amount of tiles.
For example, he could have a 4 by 4 patio, 5 by 5, etc.
121 happens to be the square of 11. In other words, 11*11=121!
So, Luke can fit 11 tiles along each side of his patio.
Answer:
j² - 5j²k - 2
Step-by-step explanation:
3j² - j²k - 6 - 4j²k - 2j² + 4
To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.
We have three groups of like terms:
The j-squares (j²), the j-squared k (j²k) and the constants (no variable).
Remember to include the negatives!
The j-squares are: 3j² ; -2j²
The j-squares k are: - j²k ; - 4j²k
The constants are: - 6 ; 4
Simplify:
3j² - j²k - 6 - 4j²k - 2j² + 4
Rearrange the polynomial by like terms
= (- j²k - 4j²k) + (3j² - 2j²) + (- 6 + 4)
Add or subtract the like terms
= (-5j²k) + (j²) + (-2)
Remove brackets and rearrange so the negative is not first
= j² + - 5j²k + - 2
Simplify where two signs are together. Adding a negative is subtraction.
= j² - 5j²k - 2 Simplified
Answer to first part 1: First you obtain number of intervals you would like to have by getting the square root of the total number of observations. In this case, square root of 14 = 3.74; round up and use 4.0.
Answer to Second part: 2: The interval width is then obtained by dividing the range by the number of intervals. For this case, interval width = (42-9)/4 = 8.25. This can be rounded up to the convenient evenfigure of 10.0.
Hope this helps!!!!
