I)
8 - 3x = 23
-3x = 15
x = -5
ii)
5x - 16 = 34
5x = 50
x = 10
iii)
2 - 5x = -3
-5x = -5
x = 1
1/2 + 1/2 =1 cup + 1/2 + 1/2= 2 cups + 1/2= 2 1/2
How many 1/2 you see? 5!!
Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
Answer:
Step-by-step explanation:
We are given the following in the question:
Let 
be the proportion of the internet sales and 
be the proportion of the store sale.
Hypothesis:
We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.
Thus, we can design the null and alternative hypothesis as:
Alternate Hypothesis:
The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.
The slope of the given line = 1 so the slope of the line perpendicular to it will be -(1/1) = -1.
It also passes through point (1, -1) so we use the point slope equation
y - y1 = m(x - x1)
y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x <--------- that's the answer
