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:
Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:
1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.
Now, we will divide 1800 by 45 to find average rate in laps per hour as:
Therefore, Sebastian's average rate is 40 laps per hour.
If you can find one leg of a triangle to be congruent to a leg on the other triangle, then you can use the HL (hypotenuse leg) theorem. If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Answer:
There is exactly 1 solution and it is a double root.
Step-by-step explanation:
To find this, factor the equation and solve.
x^2 + 10x - 25 = 0
(x - 5)(x - 5) = 0
Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Because there are two of the exact same answer, we know it to be a double root.
