I am confused please help

Anyone know questions 9 and 10

leva [86]

Answer:

8.j 9.b 10.f 11.a

Step-by-step explanation:

you welcome

4 0

2 years ago

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

Solve:<br><br> -11 2/3 x (-4 1/5) = ?

dimaraw [331]

Answer:

Step-by-step explanation:

-35/2 x (-21/5)

-7/2 x (-21/1)

-7/2 x (-21) = 147/2= 78 1/2

4 0

3 years ago

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Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss

Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

7 0

3 years ago

What is the final amount of 777 is decreased by 12% followed by a 4% increase? Give your answer rounded to 2dp.

julia-pushkina [17]

Answer:

711.11

Step-by-step explanation:

<h3>Method 1 </h3>

If 777 is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally

0.88 x 777 = 683.76

683.76 is increased by 4%. 683.76 would now be (100 + 4%) 104% of what it originally was

683.76 x 1.04 = 711.11

<h3>Method 2 </h3>

12% x 777 =

0.12 x 777 = 93.24

777 - 93.24 = 683.76

4% x 683.76 = 27.3504

683.76 + 27.3504 = 711.11

5 0

2 years ago