Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
<u>Answer:</u>
<u>Explanation:</u>
<em>Factors are numbers that if they are divided, then they would be divisible. We can see that the term is multiplied with 3 terms. Hence, they are definitely factors of that term. However, there is one more factor that is divisible by 2xy. The number 1 is divisible by 2xy. Hence, the factors of this term is 2, x, y, and 1.</em>
Hoped this helped.
Answer:
x = 20 degrees.
Step-by-step explanation:
cos40∘=sin(x+30∘)
sin (x + 30) = 0.766
x + 30 = arcsin 0.766 = 50
x = 50 - 30 = 20.
4x+11 is The answer
-2x-(-6x) two negatives make a positive so -2x-(-6x) is now -2x+6x
-2x+6x=4x
4-(-7) again two negatives make a positive so 4-(-7)
Is now 4+7
4+7=11
I hope that this was helpful if so Mark as brainliest
