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barxatty [35]
3 years ago
11

What is the product rule for exponents? What is the quotient rule for exponents?

Mathematics
2 answers:
Fittoniya [83]3 years ago
3 0
Product Rule:
x^{a}  \times x^{b} = x^{(a+b)}


Quotient Rule:
\frac{x^{a}}{x^{b}} = x^{(a-b)}
Gemiola [76]3 years ago
3 0

Answer:

x^{a} \times x^{b} = x^{(a+b)}

I forgot the other one

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The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t
Archy [21]

Answer:

\boxed{x^2=-8y}

Step-by-step explanation:

(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y

3 0
3 years ago
56 is 80 percent of what number
monitta
Let us assume the number to be = x
Then
(80/100) * x = 56
4x/5 = 56
4x = 56 * 5
4x = 280
x = 280/4
  = 70
The value of the unknown number is 70. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems in future without requiring any help from outside. Only thing that needs to be taken care of is the calculation part.
7 0
3 years ago
Read 2 more answers
Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?
xz_007 [3.2K]

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

3 0
3 years ago
Read 2 more answers
A truck that can carry no more than 6500 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
anyanavicka [17]

Answer:

Equation: 300x+425y= 6500 (if you assume that you would get an exact total)

Answer: Yes, 11 refridgerators and 9 pianos will overload the truck because 11x300=3,300 and 9x425=3,825 which in total equals 7,125, which is way too much for the truck.

An equation that works: 300(10)+425(8)=

Step-by-step explanation:

If each refrigerator is 300 pounds and we need to see if 11 would fit on the truck, multiply 300 times 11 which equals 3,300. Next repeat the same step but for the pianos… 425 times 9 which equals 3,825 now you add. You should get 7,125, meaning this ratio is way to large for the truck to carry.

Since this does not work we should try take away one of each. So let’s say the new rati is 10 refrigerators to 8 pianos. We would repeat the same steps from above. 10x300=3,000       8x425=3,400

If we add these, we get 6,400 so the final expression would be 300(10)+425(8)=6,400 which would be the closest the the most you can transport on the truck.

Sorry if this was not the answer you were looking for, I may have misinterpreted the question.

6 0
2 years ago
For which interval is the function constant?
andreev551 [17]

Answer:

Option D (2, 6)

Step-by-step explanation:

As shown in the graph function has four intervals on which graph is plotted.

1). From the graph we can see in the interval -10 ≤ x ≤ 0 graph is increasing.

2). From 0 ≤ x ≤ 2 function is decreasing.

3). Between 2 ≤ x ≤ 6 function is constant.

4). And for x ≥ 6 function is increasing.

Therefore interval in which the function is constant is (2, 6).

4 0
4 years ago
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