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defon
3 years ago
6

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

of −3. A.y − 6 = −3x − 3 B.y − 6 = −3(x + 1) C.y = −3x + 3 D.3x + y = 3
Mathematics
2 answers:
mafiozo [28]3 years ago
6 0
Point slope form of the equation can be written as follows
y - y₁ = m (x - x₁)
y and x are the 2 variables , m is the slope and x₁ and y₁ are the respective coordinates for the given point
in this format a point of a line and the slope of the line are given. using this information we can write down the point - slope formula for the graph
since a point has been given we know the x₁ and y₁ coordinates.
These are the coordinates of the given point (-1,6)
x₁ = -1
y₁ = 6
slope has been given as -3, m = -3
substituting these values in the formula, 
y - y₁ = m (x - x₁)
y - 6 = -3 (x - (-1))
y - 6 = -3 (x + 1)
answer is B.

IrinaVladis [17]3 years ago
3 0

Answer:

The correct answer is option B.

Step-by-step explanation:

Two point form of the equation:

(y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)

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

(y-y_1)=m\times (x-x_1)

A line passing through the point (-1,6) with slope ,m = -3.

The equation of the line will be:

y-6=(-3)(x-(-1))=(-3)(x+1)

Hence, the correct answer is option B.

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Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total asse
aniked [119]

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of  $13.6 million

profit = 5.6 / 100 *  $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

4 0
3 years ago
How much less is -200m than 450m?
saveliy_v [14]

Answer:

-200 metre is less 450m because - 200 metre is negative.

4 0
3 years ago
Work too plzthank youuuuuuuuuuu
Dovator [93]
I would show you the picture with the work but I am on my computer because I am charging my phone.. So, I will just show the work 

15% = \frac{15}{100} =  \frac{30}{100} which gives you the whole quality of the number of 200

5 0
3 years ago
What is the factor of x³ 5x² 2x 24?
Delvig [45]

The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

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

A factor is a number that completely divides another number.

In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.

The numbers that can divide a number exactly are called factors.

There is none left over after division as a result.

The numbers you multiply together to produce another number are called factors.

A factor is hence the division of another number.

So, we have the expression: x³-5x²-2x+24

Now, calculate the factors as follows:

x³-5x²-2x+24

We already know that: P(-2) = 0

Hence, x+2 is a factor.

Now, other factors are: x² - 7x + 12

x² + 4x + 3x + 12

(x - 3)(x - 4)

Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)

Know more about the factors here:

brainly.com/question/24351176

#SPJ4

Correct question:
What is the factor of x³-5x²-2x+24?

3 0
1 year ago
The graph of y = |x − 3| + 2 is reflected across the y-axis. What is an equation of the reflected graph?
pychu [463]

Answer: A. y = |−x + 3| − 2

Step-by-step explanation:

8 0
3 years ago
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