Answer:
B
Step-by-step explanation:
A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.
<u>Table A</u>
These fractions are not equal. This is not proportional.
<u>Table B</u>
These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.
<u>Table C</u>
These fractions are not equal. This is not proportional.
<u>Table D</u>
These fractions are not equal. This is not proportional.
Answer:
Tn=T1+(n-1)*d
Step-by-step explanation:
Tn is the nth term
T1 is the first term of the sequence
n is the nth term as well
d is the common difference
Answer:
Step-by-step explanation:
<u>Substitute the values and solve for x:</u>
- 23 = 9 + 2x - 18 + x - 1
- 23 = 3x - 10
- 3x = 23 + 10
- 3x = 33
- x = 33/3
- x = 11
The answer to your question is x = -3
Answer:
x = +2, x = -2
Step-by-step explanation:
The equation to solve in this problem is
The first step we do is to subtract 35 on both sides of the equation, so we get:
Now we simplify the equation by dividing both terms by 10:
Now we observe that the term on the left is the difference between two squares, so it can be rewritten using the property:
Where here,
a = x
b = 2
So we can rewrite the equation as:
And this equation is zero when either one of the two factors is zero, so the two solutions are:
