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Mice21 [21]
3 years ago
11

Explain how to write a function rule from the table below. x :2 4 6 y :1 0 –1

Mathematics
2 answers:
horsena [70]3 years ago
6 0

To put it simple, y = 2 - 1/2 x

nydimaria [60]3 years ago
5 0
Our "y-intercept" (where x = 0) acts as the foundation of our function here.
We can extrapolate from what we have here...if x is 0, y is going to be 2.
So, we start at 2 for y, and every time we decrease x by 2, y increases by 1.
If we decrease x by just 1, y increases by ½.
This also goes in the opposite direction. Increase x by 1, decrease y by ½.
We can write the change in y as -½x.
That change is being added to our original value of 4, of course.
The equation of this line is y=-\frac{1}2x+2.
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Am I right?? <br> * Show examples &amp; details if I am wrong!! *
baherus [9]

Yes, you are correct.

From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.

All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).

We can gather the following information from the given information.

  • The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
  • The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9

We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:

12/x = x/9

Using the cross product property gives us:

x² = 9 × 12

x² = 108

Taking the square root of both sides gives us:

x = √108

= 6 √3

Thus, your answer is correct. Great job!

Let me know if you need any clarifications, thanks!

8 0
3 years ago
What is 9/10-3/5 in fractions
Delvig [45]
-3/5 = -6/10
9/10 - 6/10 = 3/10
3 0
3 years ago
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Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises eac
Sergio [31]
Let “t” represent the number of minutes Martha exercises each day. If she needs to exercise *at least* 30 minutes, t has to be equal to or greater than 30, so our inequality would be

t ≥ 30
4 0
3 years ago
3. Changing the opacity of the image and changing colors is a basic way of performing color correction. (1 point)
erma4kov [3.2K]
The answer to the question is true
6 0
3 years ago
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Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer C
Oksi-84 [34.3K]

Answer:

D

Step-by-step explanation:

So we are given the limit:

\lim_{x \to 0} (x^2+10)

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10

Therefore, the limit equals 10.

8 0
3 years ago
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