You would probably need a little larger sample of people because not all people wear corrective lenses. In almost any other survey, this would be a scientist’s dream, but in this one, you’d need it to be a little bigger.
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
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angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
No because the lines are not connecting. The definition of a function is a relationship involving one or more variables. This can't be a function because their is only one variable.
9514 1404 393
Answer:
(x, y) = (-2.5, -4)
Step-by-step explanation:
Since you are given an expression for y, it is convenient to substitute that into the second equation.
2x -3(6x +11) = 7
2x -18x -33 = 7
-16x = 40 . . . . . . add 33
x = -40/16 = -2.5
Using the equation for y, we find ...
y = 6(-2.5) +11 = -15 +11 = -4
The solution is (x, y) = (-2.5, -4).
