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solong [7]
3 years ago
12

Simplify: 2x^2(4x^3 - 3x^2 + 6x)

Mathematics
1 answer:
Blababa [14]3 years ago
3 0

Answer:

8x

Step-by-step explanation:

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Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
2 years ago
Find the area for the rectangular prism
faust18 [17]

Answer:

596ft

Step-by-step explanation:

4 0
3 years ago
Ginny buys 7 magazines for 2.80 how much does 1 cost?<br> How much does do 5 magazine cost?
saw5 [17]

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

3 0
3 years ago
Write the function a a product of linear factor by grouping or using the x method or a combination of both
Sladkaya [172]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}

<h3><u>Step-by-step explanation:</u></h3>

Given function to us is :-

\bf \implies g(x) = x^2 - 9

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup

I have also attached the graph of x²-9.

<h3><u>Hence </u><u>option</u><u> </u><u>A</u><u> </u><u>is</u><u> </u><u>corr</u><u>ect</u><u> </u><u>.</u></h3>

4 0
3 years ago
I need help please and thank you
sergeinik [125]
Try googling it , sorry
8 0
3 years ago
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