Answer:
(C) 5
Step-by-step explanation:
x+7=2y
<em>Subtract 7 from both sides</em>
x=2y-7
2y-7=x
<em>Multiply both sides by 2</em>
4y-14=2x
y=2x−1
<em>Add 1 to both sides</em>
y+1=2x
<u>Combine equations:</u>
y+1=4y-14
<em>Add 14 to both sides</em>
y+15=4y
<em>Subtract y from both sides</em>
15=3y
3y=15
<em>Divide both sides by 3</em>
y=5
<u>The answer is </u><u>(C) 5.</u>
Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
The answer to your problem is 3/2.
An irrational number is a real number that can't be written as a fraction: since all rational numbers (
) are real numbers (
), the irrational numbers are all elements in that don't belong to .
The rational numbers are closed with respect to sum and multiplication, which means that the sum/product of two rational numbers is a rational number.
Note that, of all the options, only 
is irrational, because the other options are
so they all can be written as fraction. This means that
are all rational numbers, because they are the multiplication of two rational numbers.
So, your only hope to get an irrational number is to multiply
Expression 2 works exactly in the same way, because everything we said about the product is true for the sum as well.
