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3 years ago

Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

x = $\frac{5}{7}$

using the ' laws of exponents '

• $a^{m}$ × $a^{n}$ = $a^{( m + n )}$

• $a^{m}$ ÷ $a^{n}$ = $a^{(m - n)}$

• ( $a^{m}$ )^n = $a^{mn}$

$7^{2}$ × $7^{3}$ = $7^{5}$ ÷ $7^{3x}$ = $7^{5 - 3x}$

$7^{4x}$ = $7^{5 - 3x}$

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x = $\frac{5}{7}$

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A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The given functions are

f(x)=6x+24

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Now we have to find (g-f)(x) .

(g-f)(x)=x²-16-6x-24

or,(g-f)(x)=x²-6x-40

or,(g-f)(x)=x²-10x+4x-40

or,(g-f)(x)=x(x-10)+4(x-10)

or,(g-f)(x)=(x-10)(x+4)

So the domain of the function (g-f)(x) are the values for which the function exists. we can see that the function exists for all values of x.

Domain in set builder notation={x|x∈R}

Domain in interval notation=(-∞,∞)

To learn more about domain and range:

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1 year ago

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Step-by-step explanation:

Step 1: Set up the formula for the surface area of a regular pyramid.

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Step 2: Plug the perimeter of the base into the formula

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3 years ago

What is the lcd of 1/3 and 3/7 Help rn

Thepotemich [5.8K]

Answer:

The least common denominator is 21.

Step-by-step explanation:

First, you must find the least common factor of the two:

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

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Second, you must increase the fractions:

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4 years ago

On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on

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Answer:

The actual width would be 9.75 feet. (I think).

Step-by-step explanation:

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2 years ago