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stepladder [879]
3 years ago
12

. What is the y intercept of the line represented by the equation 3x+2y = 6?

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

3

Step-by-step explanation:

To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:

y=mx+b

m=slope

b=y-intercept

Start with:

3x+2y=6

Subtract 3x from both sides of the equation:

2y=-3x+6

Divide both sides of the equation by the coefficient of y, which is 2:

y=-1.5x+3

Identify the y-intercept:

b=3

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Find the domain of the rational expression: x-3/2x-8
miss Akunina [59]

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

2x-8+8\neq0+8

2x\neq8             <em>divide both sides by 2</em>

\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

6 0
3 years ago
Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given y=\frac{\ln\left(5x)}{x^2}

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

y'=\frac{1-2\ln\left(5x)}{x^3}=0

x = \sqrt e/5 is absolute maximum

y''=\frac{6\ln\left(5x)-5}{x^4}=0

x=e^{5/6}/5 is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0
3 years ago
I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
zavuch27 [327]

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

7 0
3 years ago
Tia and her 5 friends are going to the ice skating ring. Each person pays $5 for admission and $5 for food. Write a numerical ex
dedylja [7]
The expression would be (5*6)+(5*6)=x
or you could shorten it and do (10*6)=x
8 0
3 years ago
Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab
Kamila [148]

Answer:

1\frac{9}{10}\ m

Step-by-step explanation:

we know that

To find out how much more blue fabric than yellow fabric does Marcus need, subtract the quantity of yellow fabric from the quantity of blue fabric

step 1

Convert mixed number to an improper fraction

3\frac{1}{10}\ m=\frac{3*10+1}{10}=\frac{31}{10}\ m

1\frac{1}{5}\ m=\frac{1*5+1}{5}=\frac{6}{5}\ m

step 2

Subtract the numbers

\frac{31}{10}-\frac{6}{5}=\frac{31}{10}-\frac{12}{10}=\frac{19}{10}\ m

Convert to mixed number

\frac{19}{10}\ m=\frac{10}{10}+\frac{9}{10}=1\frac{9}{10}\ m

7 0
3 years ago
Read 2 more answers
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