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Lesechka [4]
3 years ago
8

Simplify. Will mark brainliest.

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

A) n^15

B) 8z^12

C)(y^3)/(z^6)

Step-by-step explanation:

For a), it's basically n*n*n*... * n 8 times multiplied by n*n*n* .. *n 7 times, which is n multiplied by itself 15 times. So the answer is n^15

For b), you simplify 2z^4 to 2*z^4. Now, it is 2^3*z^4^3, and when you exponent an exponent, you multiply, so it is 8*z^12

For c) y^5/y^2 = y^3, and z^-2/z^4 = 1/z^6. Multiply them together to get y^3/z^6

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Convert
ICE Princess25 [194]

Answer:

The correct option is A.

Step-by-step explanation:

The given number is

\frac{5}{11}

Where 5 is dividend and 11 is divisor.

Since dividend is less than divisor we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.

Now the dividend is 50. Divide the number by divisor.

11\times 4=44

Subtract 44 from 50.

50-44=6

Therefore remainder is 6. Place a zero after 6.

Now the new dividend is 60. Divide the number by divisor.

11\times 5=55

Subtract 55 from 60.

60-55=5

Therefore remainder is 5.

\frac{5}{11}=0.454545

\frac{5}{11}\approx 0.45

Therefore option A is correct.

5 0
3 years ago
Match the information on the left with the appropriate equation on the right.
solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points (x_1, y_1) and (x_2,y_2) will be,

y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)

If this line passes through (-2, 3) and (-3, 4),

y-3=\frac{(4-3)}{(-3+2)}(x+2)

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

4 0
2 years ago
Four data sets are shown below.
aivan3 [116]
Banana cupcake for dinner makes me wanna go swimming so its set 4 94 322
5 0
2 years ago
Find the solution of the system of equations.<br> 4x – 2y = -6<br> x + 4y = -24
Zielflug [23.3K]

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

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y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

5 0
3 years ago
Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your work in
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Y-0= 2(x-0) is point slope and ur answer
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