Answer:
B. Exactly one solution
Step-by-step explanation:
You can add (4x -8) to both sides:
5x +8 -7x +(4x -8) = -4x +1 +(4x -8)
Collect terms
2x = -7
x = -7/2 . . . . . divide by 2. One solution.
_____
As soon as you determine that the x-coefficients on the left and right are different, you know there is exactly one solution.
On the left, the coefficient of x is 5-7 = -2; on the right it is -4.
1b) 70, 40
1c) 45, 90
1d) 25%
1e) 5%
2a) 360
2b) 180
2c) protractor
2d) compass
2e) diameter
2f) radius
2g) 90
2h) acute
For 1b), the other equal angle would be 70; the remaining angle would be 180-(70+70) = 180-140 = 40.
For 1c), the other equal angle would be 45; the remaining angle would be 180-(45+45) = 180-90 = 90.
For 1d), he saved 50/200; dividing this, we get 0.25; 0.25*100 = 25%.
For 1e), he saved 28/560; dividing this, we get 0.05; 0.05*100 = 5%.
Answer:
Step-by-step explanation:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
The choice a could not be true because the value of f(1) is
already equal to 5. Therefore, the value of f(1) cannot be 1. This is one of
the properties of a function that for every value of x, there should be only
one corresponding value of y.
Answer:
1. 7.5
2. 7
3. 8
4. 1.44
5. 2
6. 4
Step-by-step explanation:
Use cross multiplication and then divide by the coefficient of x.
Here is how to solve number 1. Solve the rest of them like this.
2.5(15) = 5x
37.5 =5x
5 5
x=7.5
Please mark me brainliest and I hope this helps.
