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tatyana61 [14]
3 years ago
14

Simplify (2a+5)6a^2 Can someone help please

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

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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

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6 0
1 year ago
I need someone smart to help me with this please and thank you.
Ierofanga [76]

Answer:

I'm not smart sorry

Step-by-step explanation:

Hshshha good luck

8 0
3 years ago
Read 2 more answers
Onya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify yo
professor190 [17]

Answer:

a. Savings =  \$16

b. Price = \$96

Step-by-step explanation:

Solving (a):

Price = \$80

Coupon = 20\%

Required

Determine her savings.

Savings = Coupon * Price

Savings = 20\% * \$80

Savings =  \$16

Solving (a):

Price = \$120

Coupon = 20\%

Required

Determine the price before tax

First, we need to determine her savings

Savings = Coupon * Price

Savings = 20\% * \$120

Savings =  \$24

The price before tax is calculated as follows:

Price = \$120 - \$24

Price = \$96

4 0
3 years ago
2y = x + 3 5y = x - 7 What is the solution set of the given system?
olga_2 [115]
-3=2x+10=  -13=2x = -0.153
5 0
2 years ago
Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maxi
hram777 [196]

Answer:

Answer C:  g(x)

Step-by-step explanation:

I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).

The absolute max of g(x) is approximately (3.25, 6.1).

The absolute max of f(x) is approximately (2, -1).

Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct:  g(x) has the greater absolute maximum

8 0
3 years ago
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