Absolute value is simply the distance from zero on a number line. -44 is 44 away from zero, so the absolute value of -44 is
44
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
Answer:
There is a significant difference between the two proportions.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

Compute the sample proportions as follows:

The critical value of <em>z</em> for 90% confidence interval is:

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:


There will be no difference between the two proportions if the 90% confidence interval consists of 0.
But the 90% confidence interval does not consists of 0.
Thus, there is a significant difference between the two proportions.
Okay. So, what we do first is do the distributive property by multiply each number in the parenthesis by 3. When we do that, we get (6x + 12), because 3 * 2x is 6x and 4 * 3 is 12. Now, the numbers written out in long form is 5 + 6x + 12 + 6. 6x is in simplified form, because there is nothing that we can combine it with, but we do need to combine the whole numbers. 5 + 12 is 17, and 17 + 6 is 23. The expression in simplified form is 6x + 23. The answer is B.