C) reflection over the x-axis
Answer: x is 12
Step-by-step explanation:
For directly proportional relationship, both variables change in the same direction. It means that an increase in one variable will result to an increase in the other variable. A decrease in one variable will result to a decrease in the other variable.
y and x have a proportional relationship,
We will introduce a proportionality constant and replace the proportionality symbol with an equal to symbol. Thus
y = kx
When y is 12, x is 8
Substituting into the equation,
12 = k × 8
k = 12/8 = 1.5
The equation becomes
y = 1.5x
The value of x when y is 18 will be
18 = 1.5x
x = 18/1.5 = 12
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>
ONE SOLUTION:
<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>
INFINITELY MANY SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + 2</em>
Examples:
2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>
3 = 5 FALSE <em>(NO SOLUTIONS)</em>
2x + 3 = x - 4 <em>subtract x from both sides</em>
x + 3 = -4 <em>subtract 3 from both sides</em>
x = -7 (<em>ONE SOLUTION)</em>
2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>
3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>
No, because she only has $11.23 left.
348 miles——>15 gallons of gas
232 miles——-> x
X=(232)(15)/348=10 gallons of gas