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tensa zangetsu [6.8K]
2 years ago
9

Define two terms, each containing the variables x and y, with exponents on each. (For example: 10x3y−5.) Find the quotient of th

e two terms. Explain step by step how you found the quotient.
Mathematics
1 answer:
Serjik [45]2 years ago
7 0

Answer:Two such terms are 7x^3*y^9 and -3x*y^5

Their quotient is

7x^3*y^9

--------------

-3x*y^5

This can be simplified as follows:

The numerical coefficients become -7/3.

x^3/x = x^3*x^1 = x^(3 - 1) = x^2 (we subtract the exponent of x in the denominator from the exponent of x in the numerator).

Next, y^9*y^5 = y^4.

The quotient in final reduced form is then (-7/3)x^2*y^4

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3 years ago
A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?
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0.0024

Step-by-step explanation:

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3 years ago
Which of the following are solutions to the inequality below select all that apply
KIM [24]
<h3>Answer:  n = -11</h3>

The other choices are false, so choice C is the only solution here.

==================================================

Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

5 0
3 years ago
The table shows ordered pairs of the function y = 16 + 0.5x .
Sidana [21]

The missing values represented by x and y are 8 and 20, that is

(x, y) = (8, 20)

The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight-line graph.

The ordered pairs simply mean for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row, for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.

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8 0
2 years ago
Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. abo
Leona [35]

Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

<h3>What is the exchange rate?</h3>

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

Mary will receive on Friday(a)=27168.788 Yen

The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100

So, Mary will receive on Wednesday(b)= 25,656.2949 Yen

Difference between (a) and (b) = 1512.4931 Yen

Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.

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6 0
2 years ago
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