28-3c-4=2c+12+c now group this on the same side. Remember when you move the number to the other side of = it changes the sign.
28-4-12=2c+c+3c
12=6c
12/6=c
2=c
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
Answer:
Step-by-step explanation:
Let the price is x.
<u>Set the equation and solve for x:</u>
- (x + 5%) + 15 = 141
- 1.05x + 15 = 141
- 1.05x = 126
- x = 126/1.05
- x = 120
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
And that:
And we want to now for which values of x is h(x) undefined.
So, by substitution:
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
Add 9 to both sides:
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
And we want to find:
So:
Distribute:
Combine like terms:
Rewrite:
Factor out:
So, our answer is C.
<span>a scalene triangle: a triangle where all the sides are different and all the angles are different.</span>