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marshall27 [118]
3 years ago
13

Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

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The numbers of blue, red, green and black pencils are proportional to the numbers 2, 3, 5, and 7, respectively. If we add the nu
Vitek1552 [10]

Answer:

  20 green pencils

Step-by-step explanation:

The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.

The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.

_____

If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...

  (7k -5k) + (3k -2k) = 12

  3k = 12 . . . . simplify

  k = 4 . . . . . . divide by 3

  5k = 5·4 = 20 . . . . . number of green pencils

6 0
3 years ago
Read 2 more answers
Answer and solution plse :)
sergij07 [2.7K]

Answer:

there are 8 prime numbers.

4 0
2 years ago
Read 2 more answers
He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .
Nitella [24]

Answer: The perimeter is 17.52


Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)

And the lenghts <em>AB</em> and <em>EA</em> are:

AB=5

EA=2

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

4. Thefore, you have:

BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24

5. The perimeter is:

P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52

7 0
3 years ago
What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms?
11111nata11111 [884]
Since the sequence is arithmetic, we have an expression of the form:
 an = a1 + d (n-1)&#10;
 Where,
 a1: first term of the sequence
 d: common difference
 n: number of terms
 We look for the common difference:
 d = 22-15 = 15-8 = 7&#10;&#10;d = 7
 Then, setting values we have:
 a26 = 8 + 7 * (26-1)&#10;&#10;a26 = 183&#10;
 Then, the sum of the terms is:
 Sn = ((a1 + an) / (2)) * n&#10;
 Substituting values:
 Sn = ((8 + 183) / (2)) * 26&#10;&#10;Sn = 2483
 Answer:
 
the sum of the arithmetic sequence 8, 15, 22 is:
 
Sn = 2483
5 0
3 years ago
What number is the only whole number that is not a natural number?
slamgirl [31]
The only whole number that isn’t a natural number is 0
7 0
3 years ago
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