Step-by-step explanation:
a. y = ¾x +6
b. y = 6/4 x -2
c. y = -2/4 x +3
d. y = -1/7 x -4
Answer:
-30
Step-by-step explanation:
move and divide -3/5 to the right side
-3/5x = 18
x=18÷(-3/5)
x= -30
Answer:
1) The range is found by subtracting the minimum data entry from the maximum data entry.
2) It is easy to compute.
3) It uses only two entries from the data set.
Step-by-step explanation:
We are given the following information in the question:
1) Range is difference between the highest value and the lowest value of the data.
- To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.
Option A) The range is found by subtracting the minimum data entry from the maximum data entry.
2) Advantage of range as a measure of variation.
- Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.
Option B) It is easy to compute.
3) Disadvantage of range to use as a method of variation.
- The disadvantage of using range is that it does not measure the spread of the data set
- It only measures the spread between highest and lowest data points in data set.
Option C) It uses only two entries from the data set.
Answer:
9y(2x - 1)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term
= 9y(2x³ - x² - 8xy² + 4y²)
Factor the first/second and third/fourth term in the parenthesis
= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term
= 9y(2x - 1)(x² - 4y²)
x² - 4y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y), hence
18x³y - 9x²y + 72xy³ + 36y³
= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form
