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3 years ago

Combine like terms to simplify 12x+4y-3x+2-8y²+3²

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

Answer:

−8y2+9x+4y+11

Step-by-step explanation:

Wewaii [24]3 years ago

4 0

Answer:

−8 $y^{2}$ +3x+11

Step-by-step explanation:

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Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]

zlopas [31]

We take the function as a sequence

Term 1 ⇒ 5
Term 2 ⇒ 4
Term 3 ⇒ 3.2

Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 = $\frac{4}{5}$
Term 3 / Term 2 = $\frac{3.2}{4}$ = $\frac{4}{5}$

When a sequence has a common ratio between term, the sequence is a Geometric Sequence

$n_{th}term=ar^{n-1}$
Where $a$ is the first term, $r$ is the common ratio, and $n$ is the term number

We have: $a=5$ and $r= \frac{4}{5}$
The formula for the function is

$f(x)=5( \frac{4}{5})^{x-1}$

4 0

3 years ago

In scientific notation, how can you tell if it is less than or greater than 1? Explain

svlad2 [7]

Answer: See below

Step-by-step explanation:

In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.

If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.

If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.

By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.

7 0

3 years ago

Square root of 80 to the power of 2

Alex Ar [27]

80 would be your answer for this question

3 0

3 years ago

Read 2 more answers

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

3 years ago

What is (w-4/9) (-2/3) =-4/9

Basile [38]

W=10/9 is the answer

8 0

3 years ago