Answer:
this may help you.look it once
Answer:
4. Yes 5.No 6. No
Step-by-step explanation:
To be short,a linear equation has a coefficient of only 1 degree.
If the degree is over 1 it isn't a linear equation.
4 is the linear equation since it x value 7x has a degree of 1.
5 isn't becuase it's x value has a degree of 5
6 isn't becuase it degree is 4.
Substitute the first equation into the second equation. You will get:
4x - (2x - 5) = 7
Distribute the negative sign into the parenthesis:
4x - 2x + 5 = 7
Simplify
2x + 5 = 7
Subtract 5 on both sides
2x = 2
x = 1
Now, substitute x = 1 into the first equation:
y = 2(1) - 5
y = 2 - 5
y = -3
The solution to the system of equations is (1, -3).
The empirical rule states that in a normal distribution,
68% of data is within 1 std deviation of the mean
95% of data is within 2 std deviation of the mean
99.7% of data is within 3 std deviation of the mean
In this case 95% of the cases would be within two std deviations of the mean
mean - 8 and mean + 8
72 - 8 = 64 and 72 + 8 = 80
then 95% of the scores are between 64% and 80% on the test.
Answer:
the solutions are {-2, 3}
Step-by-step explanation:
First combine the constants 2 and 17:
3|2x-1|+2=17 => 3|2x - 1| = 15
Next, divide both sides by 3. We get:
3|2x - 1| = 15 => |2x - 1| = 5
We want to solve for x, so divide all three terms by 2 as follows:
|x - 1/2| = 5/2
This equation has two solutions. We regard 1/2 as the "center." The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:
x = 1/2 + 5/2 = 6/2, or x = 3
and:
x = 1/2 - 5/2 = -4/2 = -2
Thus, the solutions are {-2, 3}
