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zimovet [89]
3 years ago
8

Given the expression −10p2q + 7p3q2 − 5q, do the following as instructed below:

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

A)

7 {p}^{3}  {q}^{2}  - 10 {p}^{2} q +  - 5q

B) Trinomial

C) Degree=5

Step-by-step explanation:

The given polynomial is

- 10 {p}^{2} q + 7 {p}^{3}  {q}^{2}  - 5q

A: Write the polynomial in descending order.

In descending order, we rewrite the polynomial from the highest degree to the least.

7 {p}^{3}  {q}^{2}  - 10 {p}^{2} q +  - 5q

B: Classify the polynomial by the number of terms.

The polynomial has three terms so it is called a trinomial.

C: State the degree of the polynomial.

The degree of the polynomial is sum of the exponents of the leading terms after the polynomial is written in descending order.

The degree is 3+3=5

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Given the following logarithmic expressions \log _ax = 3, \log _ay = 7, \log _az = -2 , we are to find the value of \log _a (\frac{x^3y}{z^4} )

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Substituting x = a^3, y = a^7  and z = a^{-2} into the log function\log _a (\frac{x^3y}{z^4} )  we will have;

\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24

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<h3>What is logarithmic expression?</h3>
  • In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
  • Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

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Step-by-step explanation:

For each problem, remember the special triangle side ratios then use a proportion. To solve, isolate the variable.

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In a right isosceles triangle, the ratio for regular side to hypotenuse is 1 to √2.

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For the triangle with the variable c:

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