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muminat
2 years ago
7

Solve the following quadratic by

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

{x  = -1 + √13  ,  x  = -1 - √13}

Step-by-step explanation:

<u><em>Completing the square</em></u>:

f(x) = x² + 2x - 12

     = x² + 2x + 1 - 1 - 12

     = (x² + 2x + 1) - 1 - 12

     = (x + 1)² - 13

<u><em>Solving</em></u>:

f(x) = 0

⇔ (x + 1)² - 13 = 0

⇔ (x + 1)² = 13

⇔ x + 1 = √13  or  x + 1 = -√13

⇔ x  = -1 + √13  or  x  = -1 - √13

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Solve mobiles plz help I’m confused
netineya [11]

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

4 0
3 years ago
If the ratio of the radii of two spheres is 6 : 5, what is the ratio of the surface areas of the two spheres?
Veseljchak [2.6K]
Answer: Choice C) 36:25

To get this answer, we simply square each piece of the original ratio 6:5
6^2 = 36
5^2 = 25

Think of two squares where one has a side length of 6 and the other of 5. The ratio of the sides is 6:5. The areas of the two squares are 36 and 25 as mentioned above. So the ratio is 36:25. This idea can be applied to any surface area or area in general. It doesn't have to be two squares. The reason why we can apply this to any general shape is because we can break up the shape into small squares to get a rough approximation. The more squares we use, the better the approximation.
7 0
3 years ago
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period
dimaraw [331]

Using the profit concept, it is found that the break-even point is of 61.6 units.

  • Profit is given by revenue subtracted by cost.
  • The break-even point is when the revenue is the same as the cost, which means that the profit is zero.

In this problem:

  • Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:

C(x) = 217x + 5420

Selling price per unit of $305, thus, the revenue equation is given by:

R(x) = 305x

The break-even point is the <u>value of x</u> for which:

R(x) = C(x)

Then

305x = 217x + 5420

88x = 5420

x = \frac{5420}{88}

x = 61.6

The break-even point is of 61.6 units.

A similar problem is given at brainly.com/question/4001746

5 0
3 years ago
Simplify 42 ⋅ 48. Can someone please help me?
defon
Since simplify means multiply you would do
42 × 48 = 2,016

Your answer is 2,016

Hope I helped :)
3 0
4 years ago
Read 2 more answers
Simplify the expression:
olga55 [171]

Answer:

The correct answer is 20x-1

5 0
3 years ago
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