Two ways of solving:
1. Convert the fractions to decimals:
3/7 = 0.42857
3/5 = 0.6
0.42857 < 0.6
So 3/7 < 3/5
Second way is to rewrite the fractions with a common denominator:
3/7 = 15/35
3/5 = 21/35
Now compare the numerators:
15 < 21 so 3/7 < 3/5
Answer: L = R (The second one)
Step-by-step explanation:
Answer:
answer: 2:2
Step-by-step explanation:
1:2+2:2 to get 3:4
Make the coefficient of y the same in both equations:
To do this, multiply equation one by 2, and equation two by 5 (this will make the coefficient 10 in both).
14x + 10y = 38
-35x - 10y = -80
Eliminate the y variable by adding the equations from each other
(14x + 10y = 38)
+ (-35x - 10y = -80)
= -21x + 0y = -42
We now have -21x = -42. The y variable has been eliminated.
Solve for x
-21x = -42
Divide both sides by -21 to get x on its own.
x = 2
Substitute x into the equation to find y.
7*2+5y=19
14+5y=19
Subtract 14 from both sides.
5y=19-14
5y=5
Divide by 5 on both sides to get y on its own.
y=5/5
y=1
The answer is (2,1)
Answer:
Step-by-step explanation:
When comparing to standard form of a parabola: 
Vertex form of a parabola is: 
, which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: 
.
Substitute in -8 for b and 2 for a.
Simplify this fraction.
The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.
Simplify.
We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).
