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JulsSmile [24]
3 years ago
12

19x+15y=-6 changed into slope intercept form.

Mathematics
2 answers:
attashe74 [19]3 years ago
7 0

Answer:

y = - \frac{19}{15} x - \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

19x + 15y = - 6 ( subtract 19x from both sides )

15y = - 19x - 6 ( divide all terms by 15 )

y = - \frac{19}{15} x - \frac{6}{15}, that is

y = - \frac{19}{15} x - \frac{2}{5} ← in slope- intercept form

Vesnalui [34]3 years ago
3 0

Answer:

y=\frac{-19}{15}x-\frac{2}{5}

Step-by-step explanation:

   19x+15y=-6

⇔ 15y=-19x-6

⇔ y=-19/15x-6/15

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Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m
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Answer:

21.56 m

Step-by-step explanation:

2(3.28) + 2(7.5)

(twos represent the sides)

6.56 + 15

= 21.56 m

8 0
3 years ago
What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8
mariarad [96]
To solve the given equation, w need to review some rules:
(1) \ ln \ e = 1 \\ 
(2) \ ln \  b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \  \frac{a}{b}  \\

The given equation is :
ln \  e^{ln \ x} + ln \  e^{ln \  x^{2}} = 2 \ ln \ 8
ln \ x * ln \ e + ln \  x^{2} * ln \ e = 2 \ ln \ 8  ⇒⇒⇒⇒ rule (2)
ln \ x + ln \  x^{2} = ln \  8^{2}  ⇒⇒⇒⇒ rule (1) and rule (2)

ln \ ( x*  x^{2} ) = ln \ 64          ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

x^{3} = 64 =  4^{3}
∴ x = 4


So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4


5 0
3 years ago
Read 2 more answers
Sketch a graph of the polynomial function f(x) =x3− 2x2. Use it to complete the following:
AlladinOne [14]

Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

Here we can see that the graph is below the x-axis in those intervals, then here we have:

f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

f is positive on the interval  (2,∞)

3) fi is ------ on the interval (0, 4/3)

In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

4) f is------ on the intervals (−∞, 0) and (4/3, ∞).

In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

5 0
3 years ago
A cross country team is made up of 65% male runners. What fraction of the team is male?
Nikitich [7]
Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.

Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.

However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.

Therefore your final answer is 13/20.
5 0
3 years ago
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Studentka2010 [4]

Answer:

<h2>C. 5/9</h2><h2 />

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<u>   -x = 0.5</u>

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x = 5/9

therefore, the answer is C. 5/9

8 0
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