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barxatty [35]
3 years ago
6

Which equation in point-slope form contains the points (8, 10) and (–4, 2)?

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
Y-10=2/3x(x-8) that is in point slope form
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Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, <em>this means n(A) = 6.</em>

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

<em>The number of whole number in the set is therefore infinite. </em>

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation  (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

<em>The number of whole number in the set is n(C) = 2</em>

d)  D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

<em>The total number of elements in both set = 29 i.e n(D) = 29 </em>

3 0
3 years ago
Select the ordered pairs that are solutions to the inequality
sveticcg [70]

Answer:

I would say equal to twelve

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
Establish for which constants c the following function is a density.
Valentin [98]
By "density" I assume you mean "probability density function". For this to be the case for f(x), we require

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1

Since

f(x)=\begin{cases}cx^{1/2}&\text{for }0

you have

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1

which means

c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}
7 0
3 years ago
On Monday, 341 students went on a trip to the zoo. All 6 buses were filled and 5 students had to travel in cars. How many studen
Otrada [13]

Answer:

If 4 students travelled in cars, then 341 - 5 = 336students travelled by bus.

 There were 5 buses.  336÷ 6 = 56

 There were 56 students on each bus.

3 0
3 years ago
Read 2 more answers
The range of a relation is (1 point)
postnew [5]
Hi there!

The answer is:
The range of a relation is the output (y) values of the relation. The range represents the set of the y-coordinates from the ordered pairs.

~ Hope this helps you!
3 0
2 years ago
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