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zhuklara [117]
3 years ago
9

Can someone clearly explain and workout Q19? Much appreciated

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
The x coefficient is 2
Take half of 2 to get 2/2 = 1
Square 1 to get 1^2 = 1

Add and subtract 1 to the expression. This is the same as adding 0. 

x^2 + 2x + 2
x^2 + 2x + 2 + 0
x^2 + 2x + 2 + (1-1)
(x^2 + 2x + 1) + 2 - 1
(x+1)^2 + 1

Answer: (x+1)^2 + 1

 
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At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p
ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

  • If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
  • If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
  • If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
  • If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
  • If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0
3 years ago
What are the domain and range of the function below? domain: (-40)
Mumz [18]

range{-2,00)

Step-by-step explanation:

6 0
3 years ago
Please answer this correctly
Stels [109]

Answer:

1/64

Step-by-step explanation:

The probability of landing on a 7 is 1/8.

The probability of landing on a 2 is 1/8.

1/8 \times 1/8

= 1/64

7 0
3 years ago
Read 2 more answers
an architect created a scale model of a building. the length of the model is 15 inches. the scale factor used to create the mode
navik [9.2K]
The length of  model is ......15 inch
if the scale factor is 1/20
it means 1/20=15/h
h=12*15=300
4 0
3 years ago
Simplify (-8z+4) + (7z-7)
Karo-lina-s [1.5K]

Answer:

1. -1z-3

2. 4x+2

3. -y+11

4. 7a-22

Step-by-step explanation:

Not too sure about the last one

5 0
3 years ago
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