Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Answer is b
Step-by-step explanation:
the first 30 people leaving the local hamburger stand
a random group of 40 people on the street
a random group of 5 people at a grocery store
Answer:
c, or 40
Step-by-step explanation:
edge test
Answer:
25.2 feets
Step-by-step explanation:
Given that:
Rectangular shaped living room has the dimension:
21 feets by 14 feets
Length of diagonal :
Using Pythagoras :
A² = B² + C²
Diagonal² = 21² + 14²
Diagonal = √(441 + 196)
Diagonal = √637
Diagonal = 25.238
Diagonal = 25.2 feets ( nearest tenth)
Answer:
Probability of not drawing a green marble is 19/23.
Step-by-step explanation:
A jar is containing 7 red, 3 white, and 9 blue marbles.
Then the probability to draw a green marble will be = Numbers of green marbles/ Total numbers of marbles of all colors
P(G) = 4/(7 + 4 + 3 + 9)
P(G) = 4/23
Now the probability of not drawing a green marble = 1 - probability of drawing a green ball
P = 1 - 4/23 = 19/23
Therefore answer is 19/23.