How do I find the equation of a line in slope intercept form

For the graph shown, select the statement that best represents the given system of equations.

Marina86 [1]

The answer is C.consistent and independent

4 0

3 years ago

Read 2 more answers

Can someone help with these two questions

kherson [118]

11,513 is the answer I really don't know how to write it all out sorry

3 0

2 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

2 years ago

Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represen

Arte-miy333 [17]

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

<h3>What are algerbra tiles?</h3>

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -3.

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

6 0

2 years ago

Homogenized milk has a density of 1.032 kg/L and heavy cream has a density of 1.005 kg/L at 10°C. At 10°C, a container holding 8

Bumek [7]

Answer:

It's heavy cream

Step-by-step explanation:

Homogenized milk has a density of 1.032 kg/L and

heavy cream has a density of 1.005 kg/L at 10°C.

At 10°C, a container holding 8 liters of liquid weighs 8.04 kilograms

To determine which container hold homogenized milk or heavy cream and How I know?

We findo the density of the measurements given and whatever it correspond to is what it is

First mass is 8.04kg

Liquid contained is 8 litres

SInce the density is kg/L

No need for conversion

Density = mass/volume = 8.04/8= 1.005kg/L

Heavy cream has a density of 1.005 kg/L at 10°C.

Therefore it correspond

5 0

3 years ago