Answer:
The only possible answer that is correct is the first one, x = -4.
Step-by-step explanation:
Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.
9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.
Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.
First, I will made 4 1/2 into the decimal which is 4.5. Then, I add 6 with 4.5 to find the total fabric that Belinda will buy which is 10.5 in total. As a result, Belinda buys total 10.5 white and red fabrics.
Facts:
- tub has 1400 gallons
- draining at 27 gallons/minute
How much water will be left after 18 minutes?
We know that after 1 minute, there will be 27 gallons less.
So after 18 minutes, there must be 18 times less water.
27 x 18 = 486
This is how much water was lost in 18 min
So to find out how much he had left after <u>486 is subtracted.</u>
Therefore, the answer is A) -486 gallons
Answer:
The inequality represented by the graph is y >
x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
<em>To find the inequality represented by the graph, find at first the equation of the line</em>
∵ The line passes through points (0, -3) and (3, -2)
∴ x1 = 0 and y1 = -3
∴ x2 = 3 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= 
∴ m = 
→ Substitute it in the form of the equation above
∴ y =
x + b
∵ b is the y-intercept ⇒ value y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation
∴ y =
x + -3
∴ y =
x - 3
→ Let us change it to inequality
∵ The line is dashed
∵ The shading area is above the line
∴ The sign of inequality should be >
∴ y >
x - 3
∴ The inequality represented by the graph is y >
x - 3
Answer:
$4.93 cents so round it to $5.00
Step-by-step explanation: