What is the solution to 2(2x +1) = 0.5(2x

vlabodo [156]

Answer:

The equation of the line is: y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form: $\frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$

where $(x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2)$ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5)$ and

$(x_2, y_2) = (5, 9)$

Therefore, we have:

$\frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1}$

$\iff \frac{y - 5}{4} = \frac{x - 1}{4}$

$\iff y - 5 = x - 1$

$\implies y = x - 1 + 5$

$\implies y = \textbf{x + 4}$ which is the required answer.

4 0

3 years ago

Mrs. Reynolds has many (over a hundred) houseplants of many different types including philodendrons, ferns, spider plants, cacti

sineoko [7]

Answer:

Experiment

Step-by-step explanation:

Base on the scenario been described in the question, where Mrs. Reynolds has many (over a hundred) houseplants of many different types including philodendrons, ferns, spider plants, cacti, tomatoes, pineapples, this is a typical example of experiment .

An experiment is a procedure carried out to support, refute, or validate a hypothesis. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated

4 0

3 years ago

What are the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2?

Dmitry_Shevchenko [17]

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

<h3>How to determine the potential zeros of the function f(x)?</h3>

The function is given as:

f(x)=6x^4+ 2x^3 - 4x^2 +2

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 6

b = 2

The factors of 6 and 2 are

a = 1, 2, 3 and 6

b = 1 and 2

So, we have:

Rational roots = ±(1, 2)/(1, 2, 3, 6)

Split the expression

Rational roots = ±1/(1, 2, 3, 6)/ and ±2/(1, 2, 3, 6)

Evaluate the quotient

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 1, 2/3, 1/3)

Remove the repetition

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Hence, the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

What is the solution to 2(2x +1) = 0.5(2x - 14)?​

What is the solution to 2(2x +1) = 0.5(2x - 14)?