Answer:
Factor:
x^2+5x-300=0
(x-15)(x+20)=0
x=15 is the width
x+5=20 is the length
Step-by-step explanation:
It would be 23/100.
C. Is the answer
<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.
The answer is $213 because you subtract the price sold by the price he bought them for and then you add them together (see work)
<span>Determine which one of the following is the correct application of the change of base formula?
a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9
The change of base formula is as follows:
log to the base 10 of x
log to the base b of x = ----------------------------------
log to the base 10 of b
Compare this to answer choice C:
</span><span>c)log8 3= log10 3/log10 8 Here x = 3 and b = 8. This is the only correct choice.</span><span>
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