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astra-53 [7]
3 years ago
14

Simplify the expression 3(x + 2)(x2 − x − 8). 3x3 + 3x2 − 30x − 48 3x3 + x2 − 10x − 16 3x3 − 30x2 − 12x − 48 3x3 − 4x2 − 30x − 4

Mathematics
2 answers:
Doss [256]3 years ago
4 0

Answer:

The correct option is A) 3x^3+3x^2-30x-48

Step-by-step explanation:

Consider the provided expression.

3\left(x+2\right)\left(x^2-x-8\right)

Distribute 3 as shown

\left(3x+6\right)\left(x^2-x-8\right)

Distribute parentheses as shown.

3xx^2+3x\left(-x\right)+3x\left(-8\right)+6x^2+6\left(-x\right)+6\left(-8\right)

3x^2x-3xx-3\cdot \:8x+6x^2-6x-6\cdot \:8

3x^3-3x^2-24x+6x^2-6x-48

Add and subtract like terms

3x^3+3x^2-30x-48

Hence, the correct option is A) 3x^3+3x^2-30x-48

Leno4ka [110]3 years ago
3 0

Answer:

3x^3 + 3x^2 − 30x − 48

Step-by-step explanation:

3( x + 2 )( x^2 − x − 8 )

= ( 3( x + 2 ))( x^2 + − x + − 8 )

= ( 3( x + 2 ))( x^2 ) + ( 3( x + 2 ))( −x ) + ( 3( x + 2 ))( −8 )

= 3x^3 + 6x^2 − 3x^2 − 6x − 24x − 48

3x^3 + 3x^2 − 30x − 48

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Lena [83]

<u>Answer:</u>

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

<u>Step-by-step explanation:</u>

We have a parabola and a small line shown in the graph.

The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.

Therefore, this function can be modeled by:

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

4 0
3 years ago
Read 2 more answers
apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. describe the transformation and find the final form of the fun
Fittoniya [83]

Answer:

g(x) = (x - 2)^3 - 4

Step-by-step explanation:

first, the function f is shifted to the right by 2 units and then shifted up by 4 units

4 0
3 years ago
Pls answer fast!!! HURRY
tatiyna

Answer:

The term that can be added to the list so the GCF is 12h3 would be 48h5.

I hope this helped!! :)

7 0
3 years ago
Given: If x, then not y, if not y, then z.<br> Y is true. So:
Fed [463]

If x, then not y, if not y, then z. Y is true. So: X is true, Z is True

<h3>How to Interpret Conditional Statements?</h3>

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

If P, then Q...

Now, from the question we are told that;

If x, then not y, if not y, then z.

Y is true. So:

Now, when looking at conditional statements in depth, and comparing to this question we can easily see that since Y is true, then it means that if X is true, then Z is also true.

Thus,

If x, then not y, if not y, then z.

Y is true. So: X is true, Z is True

Read more about Conditional Statements at; brainly.com/question/11073037

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8 0
1 year ago
I don't understand the steps. help!<br> -9a^2b^6(-7ab^-4)
iris [78.8K]

(32•7a3b2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

Step by step solution :

Step 1 :

Equation at the end of step 1 :

0-(((9•(a2))•(b6))•(0-7ab(-4)))

Step 2 :

Equation at the end of step 2 :

0 - ((32a2 • b6) • -7ab(-4))

Step 3 :

Final result :

(32•7a3b2)

I think its like this ,Tho hope it helped




4 0
3 years ago
Read 2 more answers
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