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Ksenya-84 [330]
3 years ago
6

What is the y intercept of the line 2x + 3y - 9 = 0

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0
\hbox{y-intercept: } x=0 \\
2 \times 0+3 y -9=0 \\
3y-9=0 \\
3y=9 \\
y=\frac{9}{3} \\
\boxed{y=3}
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Help asap pls -=-=-=-=--------------
bixtya [17]

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

y =  -  \frac{x}{3}  + 5

5 0
3 years ago
What is the horizontal asymptote of f(x)=-2x/x+1<br> A.-2<br> B.-1<br> C.0<br> D.1
Mrrafil [7]
A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case, 
\lim_{x \to \infty}  \frac{-2x}{x+1} = \lim_{x \to \infty}  \frac{-2x}{x(1+ \frac{1}{x} )}\\&#10;=\lim_{x \to \infty}  \frac{-2}{1+ \frac{1}{x} }\\&#10;= -2&#10;

Thus, the horizontal asymptote of f(x) is y = –2.
7 0
3 years ago
Read 2 more answers
Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it ta
soldi70 [24.7K]

The correct answer is  c. 2 \frac{1}{2} hours

Explanation:

The graphic shows the relationship between the distance Erin covers by running and the time this requires. Additionally, to know the specific time that takes for Erin to run a specific distance or vice versa it is necessary to observe at which point the two variables intersect in the line of the graph.

According to this, Erin runs 25 miles (y-axis) in 2.5 hours (x-axis), which you can know because in the line shown by the graph the distance 25 miles that is in the middle of 20 and 30 miles intersects with 2.5 hours or the middle between 2 and 3. Additionally, this number can be expressed as 2 and a half hours, 2.5 or even 2 \frac{1}{2} hours because the fraction represents half. This makes option C the answer.

6 0
3 years ago
At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick
DiKsa [7]
To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)
7 0
3 years ago
Which equation does the graph below represent? <br>y = 1/4x <br>y= 4x <br>y= -1/4x<br>y= -4x​
iogann1982 [59]

Answer:

y = -4x

Step-by-step explanation:

y = mx+c

gradient, m

= (4-0)/(-1-0)

= -4

y-intercept, c

= 0

y = -4x+0

y = -4x

8 0
3 years ago
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