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gregori [183]
3 years ago
10

Piano lessons cost 30 dollars for 3/4 hour how much for an hour

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer:

40

Step-by-step explanation:

Divide 30 by 3 to find 1/4. You get 10.

Multiply 10 by 4 to find 4/4. You get 40.

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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Someone please help I'll give brainliest for questions 11 and 12
Nostrana [21]

Answer:

Step-by-step explanation:

11.

to find floor area:

= 8 x 8

= 64

= Floor is 64m.

to find carpet: 8 x 8 x 75%

= 64 x 75%

= 64 x 0.75

= 48

a. The dimensions of the carpet are probably 8 by 8.

b. The area of the floor not covered by carpet is 64, hence 8 x 8.

12.

A perfect square is a square that has demensions that is a number multiplied by itself.

Eight times eight fits the requirements, so this square is in fact perfect.

Have a lovely day!

4 0
3 years ago
Find the surface area of the solid below. Round to the nearest tenth it needed. Please someone helpppp
adoni [48]

your answer will be 1275 yd^2

Step-by-step explanation:

hope it helps

3 0
3 years ago
CAN somebody plz plz help me with raios
Kaylis [27]
I can help what are the problems
5 0
3 years ago
7x - 2 = 5x + 12<br> Solve for x
Alinara [238K]
X=7

7x-2=5x+12
+2. +2
7x=5x+14
-5x -5x
2x=14
÷2 ÷2
x=7
4 0
3 years ago
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