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Vikentia [17]
3 years ago
13

Drag each expression to the box that describes the expression.

Mathematics
2 answers:
den301095 [7]3 years ago
7 0

Step-by-step explanation:

<em><u>Quotient of Two Differences</u></em>

From the given expressions,

\frac{4-9}{6-1} is the expression which is basically the quotient of two differences.

As

  • 4-9 is the first difference
  • 6-1 is the second difference
  • As the quotient is basically the ratio of two items or expressions. So, \frac{4-9}{6-1} is basically the quotient of two differences.

<em><u>Difference of Two Products</u></em>

From the given expressions,

(4)(5)-(2)(8) is the difference of two products.

As

  • (4)(5) is the first product - a product of 4 and 5
  • (2)(8) is the second product - a product of 2 and 8

Therefore, the difference of two products would be represented as (4)(5)-(2)(8).

<em>Similarly,</em>

5(2)(7)-(3)(8) is the difference of two products.

As

  • 2(5)(7) is the first product - a product of 2, 5 and 7
  • (3)(8) is the second product - a product of 3 and 8

Therefore, the difference of two products would be represented as 5(2)(7)-(3)(8).

<u><em>Product of two quotients</em></u>

From the given expressions,

\frac{3-2}{5-8}.\frac{1-7}{9-4} is the product of two quotients

As

\frac{3-2}{5-8} is the first quotient - a quotient of 3-2 and 5-8.

\frac{1-7}{9-4} is the second quotient - a quotient of 1-7 and 9-4

Therefore, \frac{3-2}{5-8}.\frac{1-7}{9-4} is the product of two quotients.

<em><u>None of These</u></em>

From the given expression,

(11 ÷ 5) (\frac{1-4}{6-12}) and \frac{9}{2} ÷ \frac{14}{7} are the remaining expressions that will come under 'None of These' as they do not lie under other categories like <em>Quotient of Two Differences, Difference of Two Products, or Product of two quotients.</em>

<em />

<em>Keywords: Quotient of Two Differences, Difference of Two Products, Product of two quotients.</em>

<em>Learn more about algebraic expressions from brainly.com/question/12335373</em>

<em> #learnwithBrainly</em>

zmey [24]3 years ago
5 0

Answer:

b

Step-by-step explanation:

b

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Answer: Third Option

x=1.469743

Step-by-step explanation:

We have the following exponential equation

3^{x+1}=15

We must solve the equation for the variable x

To clear the variable x apply the log_3 function on both sides of the equation

log_3(3^{x+1})=log_3(15)

Simplifying we get the following:

x+1=log_3(15)

To simplify the expression log_3 (15) we apply the base change property

log_b(y)=\frac{log(y)}{log(b)}

This means that:

log_3 (15)=\frac{log(15)}{log(3)}

Then:

x+1=\frac{log(15)}{log(3)}

x=\frac{log(15)}{log(3)}-1

x=1.469743

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2 years ago
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