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GenaCL600 [577]
3 years ago
9

Simplify x^2(y^3)^4/xy^5=x^a•y^b

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer: a = 1 b = 7

Step-by-step explanation:

x^2(y^3)^4/x.y^5 = x^a.y^b

x^2(y^12) = x^a.y^b

(x^2).(y^12)/x^y^5 = x.y^7

x.y^7= x^a . y^b -> <u>x^1.y^7</u>

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Please answer hurry!!!!
lutik1710 [3]
The best way to solve this problem is by plugging in each answer choice for both equations and seeing which one works. You can already see that choice A doesn't work because -1 is not greater than or equal to 4. That means you just need to test choices B and C!

Choice B (4, -2)
x + y  \geq 6\\&#10;4 + -2  \geq 6\\&#10;2  \geq  6 &#10;
2 is not greater than or equal to 6, so choice B doesn't work.

Choice C (4, 2)
x + y \geq 6\\ &#10;4 + 2 \geq 6\\ &#10;6 \geq 6 \\\\&#10;x  \geq 4\\&#10;4 \geq 4
Since 6 is equal to 6 and 4 is equal to 4, choice C works!

-------

Answer: C) (4, 2)
6 0
3 years ago
Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100
Maksim231197 [3]

Answer:

5 months

Step-by-step explanation:

Given

c = 30m + 50

c = 20m + 100

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

c = c

This gives:

30m + 50 = 20m + 100

Collect like terms

30m - 20m = 100 - 50

10m = 50\\

Solve for m

m = \frac{50}{10}

m = 5

8 0
3 years ago
Find two z values, one positive and one negative, that are equidistant from the mean so that the areas in the two tails add to t
levacccp [35]
I think it would be the answer is b.
3 0
4 years ago
Factor completely: 3x^3+33x^2+54x=0
kap26 [50]

Answer:

3(x + 9)(x + 2)x = 0

Step-by-step explanation:

xv1 = −9

xv2 = −2

xv3 = 0

7 0
3 years ago
What is f–1(8)??<br><br> Please select the best answer
notka56 [123]

Answer:

f^{-1}(8)=\frac{3}{2}

Step-by-step explanation:

Given f(x)=2x+5

We have to find f^{-1}(8)

In order to find f^{-1}(x) we have to make x as the subject of the formula

Let us assume f(x)=y

⇒2x+5=y

Subtracting both sides by 5

2x+5-5=y-5

2x=y-5

Dividing both sides by 2

\frac{2x}{2}=\frac{y-5}{2}

⇒x=\frac{y-5}{2}

Now substituting y with x

we have f^{-1}(x)=\frac{x-5}{2}

Now f^{-1}(8)=\frac{8-5}{2}

=\frac{3}{2}

So option (ii) is correct


5 0
3 years ago
Read 2 more answers
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