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Evgesh-ka [11]
3 years ago
5

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
When a polynomial is composed of product or quotient of terms, the terms with similar bases have exponents equal to the sum or difference of the exponents. in this case,  <span>x^4·x^n = x^5. since all have similar bases, n should be 1 since 4 + 1 = 5</span>
algol [13]3 years ago
5 0
Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m


(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1
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Point C' is the image of C (-4,-2)under a reflection across the y-axis.
Furkat [3]

<u>Answer</u>:

The coordinates of point C' are (4, -2)

<u>here's</u> <u>why</u>:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y). So if we use this information with the problem, the original coordinates, (-4, -2), the new coordinates will be (4, -2).

Hope this helped.

8 0
2 years ago
Isabella typed 12 pages of a book each day. She finished typing the book in 15 days. The book had 4 chapters. Each chapter of th
ladessa [460]

Answer:

45

Step-by-step explanation:

15 x 12 = 180

180 divided by 4 = 45

45 x 4 = 180

(if correct plz mark brainliest)

8 0
2 years ago
In 2016, the cost of 2 ounces of pure gold was $2,640. Complete the double number line to show the cost for 1, 3, and 4 ounces o
miss Akunina [59]

Answer:

1 would be 1320

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Step-by-step explanation:

5 0
3 years ago
A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool.
iris [78.8K]

Answer:

Tap A 3hrs

Tap B 6hrs

Step-by-step explanation:

Let the volume of the swimming pool be Xm^3.

Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.

x/Ta= Ra

x/Tb= Rb

X/(Ra + Rb)= 2

Ta = Tb - 3

From equation 2:

X = 2( Ra + Rb)

Substituting the values of Ra and Rb Using the first set of equations

X = 2( x/Ta + x/Tb)

But Ta = Tb - 3

1/2 = 1/(Tb - 3)+ 1/Tb

0.5 = (Tb + Tb-3)/Tb(Tb - 3)

At this juncture let’s say Tb = y

0.5 = (2y - 3)/y(y - 3)

y(y-3 ) = 4y - 6

y^2 -3y - 4y + 6 = 0

y^2 -7y + 6= 0

Solving the quadratic equation, we get y =

y = Tb = 6hrs or 1hr

We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours

Now, we get Ta by Tb -3 = 6 - 3 = 3hrs

5 0
3 years ago
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