Answer:
x = 4
Step-by-step explanation:
To solve this equation, first you want to write the whole thing out.
32x - 1 = 243
Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:
32x = 244
Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.
x = 4
Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!
I hope this helped and good luck with your math!
I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.
W equaling any number lower than 26
Answer:
B. 2 [0, 2]
Step-by-step explanation:
Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
20 = 6[3] + b
18
2 = b
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14 = 6[2] + b
12
2 = b
** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Answer:
Smallest rate for the train is 50 mph and largest is 60 mph.
For the bus it is 25 and 30 mph.
Step-by-step explanation:
If the speed of the train is 2x then speed of the bus is x mph, and the train travels twice as far as the bus in a given time.
Distance = speed * time
For the largest rate:
d = 2x * 0.5 for the train
x = d
0.5d = x for the bus
d - 0.5d = 15
0.5d = 15
d = 30
So the rate for the train = 30 / 0.5 = 60 mph.
In a similar fashion we can show that the smallest rate for the train is
25/ 0.5 = 50 mph.
