3x+y=17
=> 3x=17-y
Again, x+3y=-1
=> 3y= -1-x
now, 3x+3y= (17-y)+(-1-x)
= 17-y-1-x
= 16-x-y
Answer:
∠1 = 124 degrees
Step-by-step explanation:
Vertical angles are always congruent
So ∠1 = ∠2
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
Answer:
x= -674
Step-by-step explanation:
Solve for x and check: x + 5 = 3
Solution
Solve for x and check: - 3x = 12
Dividing each side by -3, we obtain
Another way of solving the equation
3x - 4 = 7x + 8
would be to first subtract 3x from both sides obtaining
-4 = 4x + 8,
then subtract 8 from both sides and get
-12 = 4x.
Now divide both sides by 4 obtaining
- 3 = x or x = - 3
Solve for c: 3(x + c) - 4y = 2x - 5c
First remove parentheses.
Remember, abx is the same as 1abx.
We divide by the coefficient of x, which in this case is ab.
Answer:
y = 0.5x + 50.95
Step-by-step explanation:
Given y is total cost while x is total miles
Slope: m = (y2-y1)/(x2-x1)
m = (75.95-65.95)/(50-30) = 10/20 = 0.5
y = mx + b
y = 0.5x + b
75.95 = 0.5(50) + b
b = 50.95
Slope intercept form: y = 0.5x + 50.95
