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Semenov [28]
3 years ago
14

Simplify (x − 4)(x2 − 2x − 3).

Mathematics
2 answers:
Rudiy273 years ago
8 0

Answer:

A.) x3 - 6x2 + 5x + 12

Step-by-step explanation:

FOIL (First, Outer, Inner, Last)

(x-4)(x2-2x-3)

Distribute the x to everything in the other parentheses

x * x2 = x3            x * -2x = -2x^2          x * -3 = -3x

Distribute the -4 to everything in the other parentheses

-4 * x2 = -4x^2       -4 * -2x = 8x         -4 * -3 = 12

Combine like terms

x3 + -2x^2 - 3x - 4x^2 + 8x + 12

x3 - 6x2 + 5x + 12

Anton [14]3 years ago
4 0

Answer: FIRST OPTION

Step-by-step explanation:

You must keep on mind that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.

Then:

- Apply the distributive property as you can see below:

(x*x^2)-(x*2x)-(x*3)-(4*x^2)+(4*2x)+(4*3)=x^3-2x^2-3x-4x^2+8x+12

-Add like terms, then you obtain:

x^3-2x^2-3x-4x^2+8x+12\\x^3-6x^2+5x+12

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How would I do this<br> Need help
Annette [7]

10^2= 2^2 x a^2

a^2= 100-4

a= √96

a= 9.79..

a= 9.8

7 0
3 years ago
Read 2 more answers
Answer and how to solve this
nata0808 [166]

Step-by-step explanation:

When it says x = something, that basically means to replace the x with whatever it says x equals.

x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1

x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2

x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7

Hope this helps!! (:

5 0
2 years ago
The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's m
IRISSAK [1]

Answer:

Step-by-step explanation:

The carving was made from a scale model with a scale of 1 inch = 1 foot. This means that one foot on the actual carving is represented by one inch on the model. So the model is smaller than the actual carving.

On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long.

We would convert the 1 foot on the model to inches because the model is represented in inches

12 inches = 1 foot

This means that on the model, Teddy Roosevelt's mustache was 12 inches by 8 inches long. Therefore,

Teddy Roosevelt's mustache was 12 feets by 8 feets long on the monument or carving

8 0
3 years ago
What value of x will make the given triangles congruent?
Molodets [167]
Because you're trying to make them congruent, equal the two expressions to each other. 

So, for #10 you would equal them so it would look like this. 
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x     -2x
---------------
2= 3x -19
+19    +19
---------------
21=3x
---  ----
3     3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x     -x
--------------
8=2x-14
+14   +14
--------------
22=2x
---  ----
2     2

x=11

Check. 

x+8
11+8= 19

3x-14
3(11) - 14 = 19
6 0
3 years ago
What is 5/8 times 24 simplest
9966 [12]
5      24
-        -
8       1

Simplify 24 and 8. (8 goes into 24 six times.)

5      6
-       -
1      1
   
   or
5   x  6  =  30


6 0
3 years ago
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