Question

What is the value of x?
A. 3
B. 9
C. 15
D. 30

Answer 1

The value of x cannot be determined from the provided information alone as the question seems to be missing context. The equation 'y = 9 + 3x' represents a linear equation with a y-intercept of 9 and a slope of 3, which would allow us to calculate x if we had a specific y-value.

Step-by-step explanation:

The value of x cannot be directly determined from the information provided because the question appears to be missing necessary context or equations that would allow us to solve for x. However, referring to the provided recurring statement 'y = 9 + 3x,' we can discern that it describes a linear equation where 9 is the y-intercept (the value of y when x = 0), and 3 is the slope (the rate at which y increases for each unit increase in x). To find specific values of x, additional conditions or points on the line would be necessary. For example, if you were given a certain y-value, you could substitute it into the equation and solve for the corresponding value of x. The value of x cannot be determined from the given information. The range provided (1.5 ≤ x ≤ 4.5) means that x can be any number between 1.5 and 4.5, including both ends. Therefore, none of the options A, B, C, or D can be confirmed as the value of x.

Answer 2

C. 15

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × 3 = 15

3 × 3 = 9