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Tom [10]
3 years ago
14

Write an equation for the function that includes the points ( 1, 4/5) and ( 2, 2/3).

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

f(x) = -2/15x + 14/15

Step-by-step explanation:

Slope = (2/3 - 4/5)/(2 - 1)

= (10/15 - 12/15) = -2/15

Plug in a known point (into y=mx+b) to find y-intercept:

4/5 = -2/15(1) + b

12/15 = -2/15 + b

b = 14/15

Formulate:

f(x) = -2/15x + 14/15

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3 years ago
Which absolute value expression represents the distance between the points shown on the number line?
stich3 [128]

Answer:

We will take option B.

Step-by-step explanation:

Option A) |4 − 1| = 3 units

Option B) |4 − (−1)| = 5 units

Option C) |−4 + (−1)| = 5 units

Option D) |−4 − (−1)| = 3 units.

Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units.

So. option B or Option C can be the right one.

Now, the right side point is on +4 point and the left side point is on -1 point.

So, the distance between those points will be calculated as 4 - (- 1) = 5.

Therefore, we will take option B. (Answer)

3 0
3 years ago
What was the error in this equation?
PtichkaEL [24]

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for <em>n</em>

  1. <u>Distribute -4:</u> -8n + 12 = 12 - 8n
  2. <u>Subtract 12 on both sides:</u> -8n = -8n
  3. <u>Add 8n to both sides:</u> 0 = 0

Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

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3 years ago
I need to show my work
Finger [1]

Answer:

96 Muffins

Step-by-step explanation:

There are 12 units in one dozen.

Therefore, in one dozen muffins there will be 12 muffins.

This means in 8 dozen muffins, there would be $ 8 \times 12 $ = 96 muffins.

Hence, Aiden baked 96 muffins in total.

5 0
3 years ago
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