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Juliette [100K]
3 years ago
5

Re-write the quadratic function below in Standard Form y = 3(x - 5)(x - 2)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

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How many ways are there to select 12 countries in the United Nations to serve on a council if 5 are selected from a block of 45,
melomori [17]

Answer:

There are 436937109262510348800 ways to selected 12 countries.

Step-by-step explanation:

Let x_1, x_2, x_3, x_4,x_5 the countries selected from the block of 45. For x_1 there are 45 options of countries to select. For x_2 there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for x_3 there are 43 options, for x_4 there are 42 options and for x_5 there are 41 options.

Let x_6, x_7, x_8, x_9 the countries selected from the block of 57 countries. For x_6 there are 57 options of countries to select. For x_7 there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for x_8 there are 55 options and for x_9 there are 54 options.

Let x_{10}, x_{11}, x_{12} the countries selected from the block of 69 remain countries. For x_{10} there are 69 options of countries to select. For x_{11} there are 68 options of countries to select because there can be no repeated countries and for x_{12} there are 67 options.

For find the total of options o ways to select 12 countries we multiply the above options.

45*44*43*42*41*57*56*55*54*69*68*67= 436937109262510348800

8 0
2 years ago
Type the missing number in this sequence:<br> C , 38, 28, 18, 8, -2, -12
VMariaS [17]

Answer:

48

Step-by-step explanation:

If you go in the opposite direction, you will notice that each time the numbers go up by ten. So if you counted ten up from 38 it would be 48!

Let me know if this helps! Bya!

8 0
3 years ago
Can some one help me with this math problem and explain their self's as well?
yaroslaw [1]

Answer:

20 side polygon: 180 x (20 -2)

Step-by-step explanation:

A n side polygon can be divided into n-2 triangles

each triangle has 180°

n-2 triangles have 180 x (n-2) degrees

3 0
3 years ago
What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
Ket [755]

Option C: 220 \ cm^2 is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

A=2(w l+h l+h w)

Substituting w=10 , h=5 and l=4 in the formula, we get,

A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)

Multiplying the terms within the bracket, we have,

A=2 \cdot(40 +20+5 0)

Adding all the values within the bracket, we get,

A=2 \cdot(110)

Multiplying, we have,

A=220

Thus, the surface area of the rectangular prism is 220 \ cm^2

Hence, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
Look at this graph:
Andrew [12]

Answer:

2

Step-by-step explanation:

slope=rise/run=2/1=2

6 0
2 years ago
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