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erica [24]
3 years ago
11

Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The

quotient is a rational number. D. The quotient is an irrational number.
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0
I think it’s B...........
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Solve 6^x+2 = 10 for x using the change of base formula
pashok25 [27]

Answer:

x\approx-0.7149

Step-by-step explanation:

\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149

Recall that the change of base formula is \displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}

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2 years ago
There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
Butoxors [25]

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

7 0
4 years ago
roy has a price chart below for various ingredients he needs to order for his pizza parlor. Pizza Ingredients Item Cost (per pou
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93.75 is right answer 20 words so snddnw dwdinwd
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3 years ago
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What are two different ways you can show 103?
valina [46]

Answer:

100+3, a hundred three.

Step-by-step explanation:

4 0
3 years ago
Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma
Grace [21]

Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
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