Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The value of x is -8
Step-by-step explanation:
The steps of solving an equation of one variable
- Simplify the two sides of the equation
- Separate the variable in one side and the numerical term in the other side
- Divide the both sides by the coefficient of the variable
∵ 372 = -3x - 6(8x + 6)
- Simplify the R.H.S. of the equation by multiplying the bracket by 6
∵ 372 = -3x - [6(8x) + 6(6)]
- You must put the square bracket because the sign in-front of 6
is (-) and the (-) changes the signs after it
∴ 372 = -3x - [48x + 36]
- Remember (-)(+) = (-), multiply the square bracket by (-)
∴ 372 = -3x - 48x - 36
- Add the like terms in the R.H.S.
∴ 372 = -51x - 36
- Add 36 to both sides to separate x in the R.H.S.
∴ 408 = -51x
- Divide both sides by -51 (coefficient of x)
∴ -8 = x
I hope these steps help you
The value of x is -8
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The correct answer is 2.8 liters
Explanation:
The volume of the water in the bottle can be calculated by subtracting 3.5 liters from the volume of water the pail can hold (6.3 liters) because the volume in the bottle is 3.5 liters less than the one in the pail. Below, you can find the process.
volume in the pail - 3.5 liters = volume in the bottle
6.3 liters - 3.5 liters = 2.8 liters
This means the volume of water in the bottle is 2.8 liters. Also, you can double-check this answer by adding the volume in the bottle and the 3.5 liters (2.8 + 3.5 = 6.3).
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean
= 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = 
Z-score = 
⇒ Z-score = 
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Answer:
False, there are actually infinite solutions as these are parallel lines.
Step-by-step explanation:
