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Inessa05 [86]
3 years ago
10

What is the slope of the line through (6,9)(6,9)(, 6, comma, 9, )and (7,1)(7,1)(, 7, comma, 1, )?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

the slope of the given line is -8

Step-by-step explanation:

(6,9) and (7,1)

To find the slope of the given line we use formula

slope = \frac{y_2-y_1}{x_2-x_1}

the value of x1 is 6 and y1 is 9

the value x2 is 7 and y2 is 1

plug in the value in the slope formula

slope = \frac{1-9}{7-6}=\frac{-8}{1}=-8

the slope of the given line is -8

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Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh
gavmur [86]

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4.The correct answer is option C.

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

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

f(x) =\dfrac{x-4}{x^2+13x+36}

Expand the denominator

f(x) =\dfrac{x-4}{x^2+4x +9x+36}

Factorize the denominator

f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}

Factor out x + 9

f(x) = \dfrac{x-4}{(x+9)(x+4)}

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

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8 0
2 years ago
PLZ IN THIS ASAPP!!! ILL GIVE YOU BRAINLIST!!!
Anastaziya [24]

Answer:

14

Explanation:

The constant of proportionality is 14, when we divide all of the y values by all of the x values, we get 14.

hope this helps!

8 0
2 years ago
If a polynomial function f(x) has roots 4 - 131 and 5, what must be a factor of f(x)?
pantera1 [17]

Answer:

(x - 4), (x + 131), and (x - 5) must all be factors of f(x).

Step-by-step explanation:

5 0
3 years ago
5.708 x 10v-8 in standard form<br><br> Calculator won’t answer it..
Troyanec [42]

Hi Sebastian0113,

Your Question:

5.708 x 10^-8 in standard form

Solution:

Decimal Form:

To solve this equation just divide 5.708 by 10 8 times.

= 5.708 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10

= 0.000000005708

5.708 x 10^-8 = 0.000000005708

Standard Form:

5.708 x 10^8

5.708 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

= 570,800,000

Answer:

Standard Form - 570,800,000

Decimal Form - 0.0000005708

8 0
3 years ago
Read 2 more answers
Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a
geniusboy [140]

Answer:

worked 4 hours tutoring = 4 hours * $25 = $100 earned

$130 needed - $100 earned = $30 needed

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as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements

Minimum # of hours babysitting = 3 hours

Step-by-step explanation:

3 0
3 years ago
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