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3 years ago

F(x)=4x-2, g(x)=-2x+1

Mathematics

1 answer:

Liula [17]3 years ago

7 0

Answer:

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What is the slope of the line on the graph?

Phoenix [80]

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 6)

Point (3, -6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{-6-6}{3+3}$
Subtract/Add: $m=\frac{-12}{6}$
Divide: $m=-2$

6 0

3 years ago

Paralell to y=4x-6 through (12,10)

stiks02 [169]

ANSWER

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

EXPLANATION

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

$y=mx+c$ ,this line has slope $m=2$ .

Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

$y=4x-6$

We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

$\Rightarrow -14=b$

We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

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3 years ago

Which is the graph of 5x + 4y > 2

NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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3 years ago

A person runs 1/2 miles in 1/14 hour. What is the persons speed miles per hour.

Svetradugi [14.3K]

Answer:

The persons speed is 7 miles per hour.

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3 years ago

What is 7/9 divided by 1/3

irakobra [83]

Answer:

$\frac{21}{9}$

Step-by-step explanation:

$\frac{7}{9} (divide)\frac{1}{3} = \frac{7}{9}*\frac{3}{1} = \frac{21}{9}$

4 0

3 years ago