Going upstream: 432 km / 6 hours = 72 km/h
Going downstream: 384 km / 4 hours = 96 km/h
Going upstream against the current means that the effective speed is:
r_boat - r_current = 72
Meanwhile, going downstream with the current means;
r_boat + r_current = 96
Adding both equations (to cancel out r_current) gives:
2r_boat = 72 + 96
r_boat = 84 km/h
Substituting back into one of the original equations: r_current = 12 km/h.
Answer : option A
In logarithmic Parent function, there will be a vertical asymptote.
In the given graph , there is a horizontal asymptote. The graph goes close to y axis but does not cross y axis.
The graph goes close to y axis so there is a horizontal asymptote. Its not a parent logarithmic function.
The graph of exponential function with base 0 to 1 , the y value decreases when x increases. In the given graph the y values increases when x value increases. so the base of the exponential function will be greater than 1
Option A is correct
Answer:
y=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5y−3y+1=7
Step 1: Simplify both sides of the equation.
5y−3y+1=7
5y+−3y+1=7
(5y+−3y)+(1)=7(Combine Like Terms)
2y+1=7
2y+1=7
Step 2: Subtract 1 from both sides.
2y+1−1=7−1
2y=6
Step 3: Divide both sides by 2.
2y
/2
=
6
/2
y=3
For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
![x + y \leq 25 y \geq (x - 3) ^ 2 ](https://tex.z-dn.net/?f=x%20%2B%20y%20%20%5Cleq%20%2025%0A%0Ay%20%20%5Cgeq%20%20%28x%20-%203%29%20%5E%202%0A)
The solution to the system of inequations is given by the shaded region.
Note: see attached image.
Answer:
Check out the image below!
Step-by-step explanation: