So,
We will have to divide the length the coach wants you to swim by the length of your pool to find how many laps you must swim. However, we need to first convert 3 km to meters by multiplying by 1000 (because 1 km = 1000 m).
3 * 1000 = 3000 m
Now we can divide.
You will need to swim 120 laps (not a realistic number).
Answer:
No solution
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write out systems of equations
-x + 3y = 3
x - 3y = 3
Step 2: Rewrite equations into slope-intercept form
3y = 3 + x
y = 1 + x/3
-3y = 3 - x
y = -1 + x/3
Step 3: Rewrite systems of equations
y = x/3 + 1
y = x/3 - 1
Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.
Answer:
third option
Step-by-step explanation:
Given
f(x) = 40x + 5x² ← express in standard form
f(x) = 5x² + 40x ← factor out 5 from each term
f(x) = 5(x² + 8x)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 8x
f(x) = 5(x² + 2(4)x + 16 - 16)
f(x) = 5(x + 4)² + 5(- 16)
f(x) = 5(x + 4)² - 80
Answer:
A- the graph of f(x) is shifted 7 units down
Step-by-step explanation:
We are given equation of parabola: y= x^2.
We know, the vertex form of the parabola is given by function
y= a(x-h)^2 +k.
Where coefficent a is the called the vertical scale factor of parabola.
We need to find the equation of parabola that is scaled by a factor 7 vertically of the given parent fuction of the parabola.
Therefore, for the given problem we have the value vertical scale factor a =7.
So, we need to put 7 in front of x^2 in the given function.
Therefore, y = 7 x^2 is scaled vertically by a factor of 7 of the y= x^2 parabola.
