Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
The equation of the line in slope intercept form is equal to
we have
Isolate the variable y
subtract 2x both sides
Divide by B both sides
Part 2)
we know that
The equation of the line in slope intercept form is equal to
we have
Isolate the variable y
subtract 2x both sides
Divide by 8 both sides
Simplify
Answer: -10 and 68
Step-by-step explanation:
We have the numbers, ordered from least to greatest:
11, 26, 29, 31, 43, 44, 47 and x.
The range is equal to the difference between the largest number and the smallest number, so, x can take two values.
The smallest number:
here we have that:
47 - x = 57
x = 47 - 57 = -10
The other possibility is that x is the largest number, in this case, we have that:
x - 11 = 57
x = 57 + 11 = 68.
Then the two possibla values of x are -10 and 68
Answer: 1000 mL
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
- 5x ≥ 0 implies that x ≥ 0
- x + 3 ≥ 0 implies that x ≥ -3
Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed for different amounts of clothing. Clothes Dyeing Weight of clothing (pounds) Cups of dye 22 5.5 28 6.5 34 8.5 36 9 For which weight of clothing is the ratio of weight to dye different from the other ratios?
