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2 years ago

Write the slope-intercept form of an equation that passes through the given points. (4,1),(8,2)

Mathematics

1 answer:

Talja [164]2 years ago

5 0

Answer:

y = 1/4x or y = 0.25x

Step-by-step explanation:

In this question, we are trying to write an equation with the given points.

To solve this question, we would use the slope formula: y2-y1/x2-x1

Find the slope by plugging in variables:

2-1/8-4

1/4 = m

The slope would be 1/4

Find the y intercept:

To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:

1 = 1/4(4) + b

Solve:

1 = 1/4(4) + b

1 = 1 + b

Subtract 1 from both sides

0 = b

This means that the y-intercept is 0.

Our equation will be: y = 1/4x

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What is the limit of f (×) as x approaches - infinty

tatyana61 [14]

If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the leading coefficient of denominator.

So then the limit would be 3/1 = 3.

Alternatively,

$\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}=\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}\cdot\dfrac{1/x^2}{1/x^2}=\lim_{x\to\infty}\dfrac{3+\frac6{x^2}}{1-\frac4{x^2}} = \dfrac{3+0}{1-0}=\boxed{3}$

Hope this helps.

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2 years ago

Select the correct answer.Which statement correctly compares the graph of function g with the graph of function ?(+) = ef - 4g(t

Yakvenalex [24]

Given:

$\begin{gathered} f(s)=e^s-4 \\ \\ g(s)=\frac{1}{2}e^s-4 \end{gathered}$

From the function above, there was a horizonal stretch.

using the transformation rule:

$(x,y)\Longrightarrow(\frac{x}{b},y)$

Therefore, we can say that there is a horizontal shift of the graph to the right.

ANSWER:

B. The graph of the function g(s) is a horizontal shift of the graph of the function to the right.

6 0

1 year ago

Write the following inequality in slope intercept form -6x+3y>-45

QveST [7]

Slope intercept form is y = mx + c.

(where m is the slope, and c is the intercept - hence slope intercept form)

So all you have to do is rearrange the inequality to have y by itself.

-6x + 3y > - 45 (add 6x to both sides)

3y > - 45 + 6x (divide both sides by 3)

y > - 15 + 2x (put the 2x infront of the - 15)

y > 2x - 15

- - - - - - - - - - - - - - - - - - - - - - -

Answer:

y > 2x - 15

- - - - - - - - - - - - - - - - - - - - - - -

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2 years ago

A total of 676 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 fewer stu

katen-ka-za [31]

To find the answer,we can solve this by settin up an equation.

Let x be the number of adult tickets sold.

The number of students ticket sold would be:
x-74

We can then sum them up to set an equation:

x+x-74 = 676
2x = 676 + 74
x = 375

Therefore the adult tickets sold were 375.

Hope it helps!

6 0

2 years ago

A device extracts no more than 37 liters of water per day from the air. How long does it take to collect at least 185 liters of

hjlf

Answer:

Step-by-step explanation:

A device extracts 37 liters of water per day

Therefore the number of days it will take to extract 185 liters can be calculated as follows

= 185/37

= 5

Hence it would take 5 days

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2 years ago