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slamgirl [31]
3 years ago
10

Name each set of numbers illustrated.

Mathematics
1 answer:
shtirl [24]3 years ago
7 0
A. Natural Numbers
B. Whole Numbers
C. Integers
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Factorise each of the following algebraic expressions completely,
LekaFEV [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

2k - 6k² + 4k³ ← factor out 2k from each term

= 2k(1 - 3k + 2k²)

To factor the quadratic

Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)

The factors are - 1 and - 2

Use these factors to split the k- term

1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )

1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term

= (1 - k)(1 - 2k)

1 - 3k + 2k² = (1 - k)(1 - 2k) and

2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)

(b)

Given

2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )

= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term

= (x - 2y)(2a + 3b)

8 0
3 years ago
If 3 bars of chocolate cost $15.00 ghana cedis how much will 7 bars cost ratio
Rudiy27

Answer:

7 chocolate bars will cost $35

Step-by-step explanation:

if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35

here is a ratio:

<u>3</u> = <u>7</u>

15 = 35

6 0
3 years ago
What is the volume of the following cylinder?
Vika [28.1K]
Volume of a cylinder of radius r and heigth h is
\pi {r}^{2} h
Here h is 15 cm and r is 6 cm.
3 0
3 years ago
In graphing the equation y&lt;2x -5, the line is dotted and shaded below the line drawn.
MakcuM [25]

Answer:

True.

Step-by-step explanation:

This is  'less than' so the area below the line is shaded.

It is a dotted line  because the solution does not contain points on the line as the inequality sign is < NOT ≤.

7 0
3 years ago
Read 2 more answers
Which of these four sets of side lengths will form a right triangle?
N76 [4]
They must conform with  Pythagoras theorem

It is set 4 because

(sqrt 2)^2 + (sqrt 7)^2  = 3^2
     2 + 7 = 9
3 0
3 years ago
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