Answer:
Because we only work with positive bases, bx is always positive.
Step-by-step explanation:
The values of f(x), therefore, are either always positive or always negative, depending on the sign of a. Smaller values of b lead to faster rates of decay.
Answer: 8.5
17/0.50 is 8.5
17-8.5
We have that (x) + (x+2) + (x+4) = 126 so 3x + 6 = 126 can be used to find the first integer.
3x + 6 = 126
3x = 120
x = 40
The numbers are 40, 42, 44
Answer:
No not all right angles are congruent.
Step-by-step explanation:
<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.
