Okay, first thing is you want to have x and y all alone. So you need to solve the equations.
Equation 1:
5x+4y=12 (you want to subtract 5x on both sides to get y on one side and x on the other)
5x+4y=12
<u>-5x -5x
</u><u> 4y=12-5x</u> (Now if you want x and y alone you want to divide 4 on both sides)
4
y=3-1.25x Now that's you equation
Equation 2: (Basically the same steps for the 1st equation)
3x-3y=18 (Subtract 3x on both sides)
<u>-3x -3x </u><u>
</u><u>-3y=18-3x </u> (Now you divided by -3 on both sides)
-3
y=-6+x (you might notice why is there only 1 x, well because -3 divided by -3 is going to be a positive 1. You can either put a "x" or a 1x, doesn't really matter).
now since you have the two equations simplified you want to solve by doing multi-step.
3-1.25x=-6+x (Now you want to add 1.25x so you can get rid of the negative x)
<u> +1.25x +1.25x
</u> 3= -6+2.25 (Remember x alone is like 1, so it's like 1+1.25, next you want to add 6 on both sides. So you have a number and a variable all alone).
3=-6+2.25x
<u>+6 +6
</u><u>9 </u><u>= </u><u>2.25x</u> (Next you divided 2.25 on both sides)
2.25 2.25
Answer:
x =4
If your not sure, you can plug in or replace x with 4. :D
<em>I really do hope this help you understand :D </em>
<u>
</u>
Answer:
{3, 5, 7, 9, 11}
Step-by-step explanation:
Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.
Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).
Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.
So, the Domain of the function is: {3, 5, 7, 9, 11}
The odd integers are 3 and 5, because their product is 15 and 3 *5 =15.
<h3>
Answer: C) 81.5%</h3>
This value is approximate.
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Explanation:
We have a normal distribution with these parameters
- mu = 128 = population mean
- sigma = 30 = population standard deviation
The goal is to find the area under the curve from x = 68 to x = 158, where x is the number of text messages sent per day. So effectively, we want to find P(68 < x < 158).
Let's convert the score x = 68 to its corresponding z score
z = (x-mu)/sigma
z = (68-128)/30
z = -60/30
z = -2
This tells us that the score x = 68 is exactly two standard deviations below the mean mu = 128.
Repeat for x = 158
z = (x-mu)/sigma
z = (158-128)/30
z = 30/30
z = 1
This value is exactly one standard deviation above the mean
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The problem of finding P(68 < x < 158) can be rephrased into P(-2 < z < 1)
We do this because we can then use the Empirical rule as shown in the diagram below.
We'll focus on the regions between z = -2 and z = 1. This consists of the blue 13.5% on the left, and the two pink 34% portions. So we will say 13.5% + 34% + 34% = 81.5%
Approximately 81.5% of the the population sends between 68 and 158 text messages per day. This value is approximate because the percentages listed in the Empirical rule below are approximate.
Answer:
5 is NOT a solution to the equation.
t = 6
Step-by-step explanation:
Step 1: Write out equation
2t - 1 = 11
Step 2: Add 1 to both sides
2t = 12
Step 3: Divide both sides by 2
t = 6