The possible digits are:
5, 6, 7, 8 and
9. Let's mark the case when the locker code begins with a prime number as
A and the case when <span>the locker code is an odd number as
B. We have
5 different digits in total,
2 of which are prime (
5 and
7).
First propability:
</span>

<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with
5, 7 or
9 (three of five digits).
Second probability:
</span>
Answer:
576
Step-by-step explanation:
calculator
Answer: x=0
Step-by-step explanation:
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7×4x−5×3x=5×4x+5×5x
Multiply 7 and 4 to get 28.
28x−5×3x=5×4x+5×5x
Multiply −5 and 3 to get −15.
28x−15x=5×4x+5×5x
Combine 28x and −15x to get 13x.
13x=20x+25x
Combine 20x and 25x to get 45x.
13x=45x
Subtract 45x from both sides
13x−45x=0
Combine 13x and −45x to get −32x
−32x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.
X=0
Answer:
π
Step-by-step explanation:
The *period* of a function is the length it takes before it repeats. Usually, the period of the sine function is 2π; it takes a full rotation around the unit circle for it to repeat. When we replace the input x with -2x, this does a few things:
- Changes the rotation direction
- Makes the rotation go twice as fast
If we rotate around the unit circle twice as fast, it’ll take us half of 2π, or just π to complete a cycle.
Answer:
y=6x+8 or y=6x-22
Step-by-step explanation:
use the equation y=mx+b
m is the slope and b is the y-intercept
to find the slope use the equation m = y2-y1 over x2-x1
-22 - 8 / -2 - 3 = -30 / -5 = 6
6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.
HOPE THIS HELPS!!