Answer:
the second equation converted to slope-intercept form is y = -1/3x -1
Step-by-step explanation:
1/2 z = -3/4 + 1/4 z
1/2 z - 1/4 z = -3/4
1/4 z = -3/4
z = (-3/4)/(1/4)
z = -3/4 x 4/1
z = -3
Answer:
see explanation
Step-by-step explanation:
A
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then
A = π × 6² = 3.14 × 36 = 113.04 m²
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 28.26 , then
2πr = 28.26 ( divide both sides by 2π )
r = = = 4.5 in
Step-by-step explanation:
The mean number of apples in each bag is 8. We have to calculate the number of apples in the 12 bag. Hence, there are 96 apples in 12 bags.
Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.