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3 years ago

Choose the correct simplification of the expression (4a4b)2. 16a8b 16a8b2 16a6b2 8a8b2

Mathematics

2 answers:

iogann1982 [59]3 years ago

5 0

Given exponential expression : $(4a^4b)^2$ .

<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>

We are given whole exponent 2 there.

We can apply exponents of exponent rule.

Therefore,

$(4a^4b)^2 = 4^2 a^{4\times2}b^2$

$4^2= 16.$

$a^{4\times2} = a^8$

Therefore, $4^2 a^{4\times2}b^2 = 16a^8b^2.$

<h3>Correct option is second option $16a^8b^2.$ </h3>

Korolek [52]3 years ago

4 0

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBB

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The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

$g(x) = f(x+b)$

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

$f(x) = (x-3)^2$

The function is when moved down 3 units, then

$f(x) = (x-3)^2-3$

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

5 0

3 years ago

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Alex17521 [72]

<u>Solution</u><u>:</u>

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

<u>Answer</u><u>:</u>

Hope you could understand.

If you have any query, feel free to ask.

3 0

2 years ago

A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?

Volgvan

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

5 0

3 years ago

Can someone help me solve this equation

IceJOKER [234]

Yes I can what is it

8 0

3 years ago

PROBLEMS TO SOLVE

marta [7]

A graph for the data (time and distance) shown in the given table is plotted in the image attached below.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

y = 67.814x

Read more on graphs here: brainly.com/question/25875680

#SPJ1

3 0

2 years ago