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Rudik [331]
3 years ago
12

Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.

Mathematics
1 answer:
Vlada [557]3 years ago
8 0
(x,y)
to be  a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them

ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2

not a function

domain is all x values
range is all y values
if they repeat, don't list them

domain=(0,1,4)
range=(-2,-1,0,1,2)
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Allushta [10]

Answer:

this is 52 degrees

Step-by-step explanation:

7 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
naomi's fish is 40 millimeters long. her guinea pig is 25 centimeters long. how much longer is the guinea pig than her fish
horrorfan [7]
Hi there!

The correct answer is 6.25 times.

This is how you get there:

1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm

2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25

If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.

I hope that I have been able to simplify this problem for you!

Brady
</span>
3 0
3 years ago
6. In the quadratic equation x2 + 8x - 2 = 0, what are the values of a, b, and c?
Sunny_sXe [5.5K]

Step-by-step explanation:

letter b ang sagot sa number 6

3 0
3 years ago
Help please<br> I dont get this stuff
Lena [83]

Answer:

B) 3,375 / 3

Step-by-step explanation:

well, the way you find the volume of a cube is length * width * height. so, if you work backwards, then 3,375/3 = Length. (or width or height, since a cube is equal on all sides)  sorry for bad explanations I dunno how to put it-

Goodluck on your homework/schoolwork!

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

sorry for any mistakes or bad answers.

6 0
3 years ago
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