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kap26 [50]
3 years ago
10

How to solve x^2>4x+3

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
Treat this as you would the quadratic equation x^2 - 4x - 3 + 0.   Solve this by completing the square:

x^2 - 4x + 4 - 4 - 7 = 0

(x^2 - 4x + 4) = 11

    (x-2)^2 = 11, and so x-2 = plus or minus sqrt(11).

Graph this, using a dashed curve (not a solid curve).  Then shade the coordinate plane ABOVE the graph.
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If 3(n+8)=36 what is the value of n
Ronch [10]

Answer:

Thus, n = 4 is the solution.

Step-by-step explanation:

1.  perform the indicated multiplication, obtaining 3n + 24 = 36

2.  Subtract 24 from both sides:   3n = 12

3.  Solve this result for n:  n = 12/3.  Thus, n = 4 is the solution.

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The United States has 435 members of the House of Representatives in Congress. If there are 325.7 million people in the country,
drek231 [11]

Answer:

1.36\times 10^{-6}:1

Step-by-step explanation:

We have been given that the United States has 435 members of the House of Representatives in Congress. There are 325.7 million people in the country.

To find the ratio of members to the people, we will find compare both numbers.

1 million equals 1,000,000.

\text{325.7 million}=325.7\times 1,000,000

\text{325.7 million}=3257,000,000

Ratio of members to the people:

435: 3257,000,000

0.0000013355848941:1

1.3355848941\times 10^{-6}:1

1.36\times 10^{-6}:1

Therefore, our required ratio would be 1.36\times 10^{-6} members per person.

3 0
3 years ago
I keep putting in the formula but I keep getting the answer wrong​
Advocard [28]

Answer:

314 in²  (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex.  The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

  • radius = 11 in  ⇒  side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem.   The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}

where:

  • s = length of one side
  • n = number of sides

Given:

  • s = 11 in
  • n = 6

Substitute the given values into the formula and solve for a:

\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}

<u>Area of a Regular Polygon</u>

\textsf{A}=\dfrac{n\:s\:a}{2}

where:

  • n = number of sides
  • s = length of one side
  • a = apothem

Given:

  • n = 6
  • s = 11
  • \textsf{a}=\dfrac{11\sqrt{3}}{2}

Substitute the given values into the formula and solve for A:

\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}

\implies \sf A=314.3672216...

\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)

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