Evaluate the expression

(x + 3)(y - 2) , if x = -2, and y= 6

[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\longmapsto ^{12}C_3[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]

[tex]\\ \rm\longmapsto 220[/tex]

Answer:

4/5 ....

Step-by-step explanation:

N/1 = N

so... um...

4/5 = N/1

4/5 = N

N = 4/5

Answer:

N = 0.8

Step-by-step explanation:

4/5 = N/1

0.8/1 = N/1

0.8 = N

Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)

I have attached the graph of both functions.

From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.

Let:

[tex]f(x) \to[/tex] Blue

[tex]g(x) \to[/tex] Red

The transformation of reflection across the x-axis is:

[tex]g(x) = -f(x)[/tex]

Hence, the notation that describes how the blue function is transformed into the red function is -f(x)

Read more about function transformation at:

https://brainly.com/question/12865301

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

Answer:

Step-by-step explanation:

1) 3 + 4*2*29 = 3 + 232  = 235  

First we have to do multiplication and then we have to add

2) 5n + 1

Term 1 ; n = 1  ;  5n + 1 = 5*1 + 1 = 5 + 1 = 6

Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11

Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16

Term 4; n = 4  ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21

The sequence : 6 , 11, 16 , 21 ..........

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

Answer:16x-6

Step-by-step explanation:4(4x-1) distributed is 16x-6

Step-by-step explanation:

find the area of each square or rectangle

l*w

4 rectangles=4×(3×6)=72

2 squares=2×(3×3)=18

72+18=90cm^2

Answer:

Both numbers = 27

Step-by-step explanation:

( x + x + 49 + 25 + 42)/ 5 = 34          Multiply both sides by 5

(2x + 49 + 25 + 42) = 34*5 = 170     Combine the left

(2x + 116) = 170                                 Remove the brackets.

2x + 116 = 170                                   Subtract 116 from both sides

2x = 170 - 116

2x = 54                                             Divide by 2

x = 54/2

x = 27

Check

27 + 27 + 49 + 25 + 42

170 / 5 = 34

It does check out.

27 is right.

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

the answer is 7/9. ...........

Answer:

Yes, the square root of 25 is a whole numbers.

Step-by-step explanation:

Yes, square root of 25 is a rational number.

Answer:

15

Step-by-step explanation:

you can add the absolute value of -7 with 8 so it's 15

The length of AD on the number line is,

⇒ AD = 15

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

Number line is shown in figure.

And, The point A is at - 7 on number line.

The point D is at 8 on number line.

Hence, We get;

The length of AD on the number line is,

⇒ AD = | - 7 - 8 |

⇒ AD = | - 15 |

⇒ AD = 15

Therefore, The length of AD on the number line is,

⇒ AD = 15 units

Learn more about the number line visit:

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Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

figure plz

Step-by-step explanation:

Step-by-step explanation:

numbers

first = X

second = (x-10)

Third = 4(x-10)

x + (x-10) + 4(x-10) = 124

2x -10 + 4x-40 =124

6x - 50 = 124

6x = 124 + 50

6x = 174

x= 29

therefore the ;

first number = 29

second = (x-10) = 29-10 = 19

third= 4(x-10) = 4(29-10)= 76

Answer:

ans is 5.

hope it will help you.

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

21/20

Step-by-step explanation:

One way to look at it:

Convert 1.05 to a percentage so it's easier to see it as fraction out of 100

fraction x 100 = %

1.05 x 100 = 105%

105% means 105/100, and reducing the fraction gives 21/20.

21/20 = 1.05

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]