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Anit [1.1K]
2 years ago
11

Which equation is the inverse of y = 9x² - 4?​

Mathematics
1 answer:
Mila [183]2 years ago
4 0

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

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What is the question you are asking and no one is gonna know what lesson 3.2 means.
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3 years ago
A circle is drawn within a square as shown.
Vinil7 [7]
<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

Area\ of\ square = a^2

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

Area\ of\ circle = \pi r^2

Where, "r" is the radius of circle

Diameter = 10 cm

r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5

Thus,

Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

7 0
3 years ago
Reggie is surveying a plot of land in the shape of a rectangle. The area of the land is 73,000 square meters. If the width of th
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You can start with the formula for area of a rectangle, then solve for the length.
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7 0
3 years ago
If a 12 ounce box of cereal costs $3.84, how many ounces should be in a box marked $2.49?
Ivan

Answer:

  • 7.78 ounces

Step-by-step explanation:

<u>We know that:</u>

  • 12 ounce box of cereal = $3.84

<u>Work:</u>

  • 12/3.84 ounce box of cereal = $1
  • => 12/3.84 x 2.49 box of cereal = $2.49
  • => 7.78 ounces (Rounded to nearest hundredth) = $2.49

Hence, 7.78 ounces cost $2.49.

6 0
3 years ago
Read 2 more answers
PLEASE HELP 50 POINTS
Arte-miy333 [17]

Answer:

  • 30°

Step-by-step explanation:

<u>A and B are same side interior angles and hence supplementary:</u>

  • m∠A + m∠B = 180°

<u>Substitute values and solve for x:</u>

  • 6x - 18 + 14x + 38 = 180
  • 20x + 20 = 180
  • 20x = 160
  • x = 160/20
  • x = 8

<u>Find the measure of ∠A:</u>

  • m∠A = 6*8° - 18° = 30°
3 0
3 years ago
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