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sattari [20]
3 years ago
7

How do you graph the equation f(x)=10x+40??

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0
Ok so linear equations come in the form
y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

Hope this helps C:

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Anon25 [30]

Answer:

m=-3.5

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3 years ago
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Use L’Hospital’s Rule to evaluate the following limit.
Serga [27]

Answer:

3

Step-by-step explanation:

lim(t→∞) [t ln(1 + 3/t) ]

If we evaluate the limit, we get:

∞ ln(1 + 3/∞)

∞ ln(1 + 0)

∞ 0

This is undetermined.  To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.

lim(t→∞) [t ln(1 + 3/t) ]

lim(t→∞) [ln(1 + 3/t) / (1/t)]

This evaluates to 0/0.  We can simplify a little with u substitution:

lim(u→0) [ln(1 + 3u) / u]

Applying L'Hopital's rule:

lim(u→0) [1/(1 + 3u) × 3 / 1]

lim(u→0) [3 / (1 + 3u)]

3 / (1 + 0)

3

4 0
3 years ago
Appended below is the code for Selection Sort. You really do not have to understand the details of the code. If this algorithm t
kramer

Answer:

12 seconds.

Step-by-step explanation:

Let t represent time taken by code to sort an array of 24 elements.

We have been given that an algorithm takes 4 seconds to sort an array of 8 elements. We are asked to find the time it will take for same code to sort an array of 24 elements.

We will use proportions to solve our given problem.    

\frac{\text{Time}}{\text{Array of elements}}=\frac{4}{8}

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t=\frac{4}{1}\cdot 3

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2 years ago
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7 0
3 years ago
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I need help. Look at picture above
vekshin1
Let’s do 3x - 8 ≤ 23 first.

You need to rearrange this so that x is on its own.

+8 to both sides

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/3 on both sides

x ≤ 31/3

Then the second, -4x + 26 ≥ 6

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5 ≤ x ≤ 31/3

4 0
3 years ago
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