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Viktor [21]
3 years ago
8

Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below

Mathematics
1 answer:
Art [367]3 years ago
4 0

Answer:

  A) 2x^2 -12x +13

  B) terms {2x^2, -12x, 13}; coefficients {2, -12, 13}; constants {13}

Step-by-step explanation:

A) Using the distributive property, we get ...

  -2x +3 +2x^2 -10x +10

  = 2x^2 -12x +13

__

B) Terms: {2x^2, -12x, 13}

  Factors: There are no overall factors. Each term has factors ...

     2x^2 has factors {2, x, x}

     -12x has factors {-1, 2, 2, 3, x}

     13 has factors {1, 13} (it is prime)

  Coefficients: {2, -12, 13} . . . see note below

  Constants: {13}

_____

<em>Additional comment</em>

We have listed the prime factors of each term, any subset can be multiplied to be a factor of the term. For example, 2·3 = 6 is a factor of -12x.

Please note that some sources do not consider a constant (13) to be a coefficient. You will need to refer to your curriculum materials to see what your author says about that.

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A circular plate has circumference 21.4 inches. What is the area of this​ plate? Use 3.14 for pi.
Brut [27]

Answer:

The area of this plate is 36.31\ \text{inches}^2.

Step-by-step explanation:

We have,

Circumference of a circular plate, C = 21.4 inches

The circumference of a circular shape is given by :

C=2\pi r

r is radius of circular shape

r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}

Area of this plate is given by :

A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2

So, the area of this plate is 36.31\ \text{inches}^2.

8 0
3 years ago
A small, upscale boutique examines the income of 10 random households to determine if the community will be a good location for
USPshnik [31]
The correct answer for the question that is being presented above is this one:  "D) The boutique will not locate a store in a community where everyone does not make at least $100,000. " The likely reason that the boutique chooses not to locate in the community is that the boutique will not locate a store in a community where everyone does not make at least $100,000. 
7 0
3 years ago
What are the common denominator for 4/5and 1/3
Maru [420]

Answer:

15 is the answer hope this helps

7 0
2 years ago
Read 2 more answers
If F(x) =3x-2/6 which of the following is the inverse of f(x)
marissa [1.9K]

Answer:

f^{-1}(x)=y/3-1/9

Step-by-step explanation:

f(x)=3x-2/6

f^{-1}(x)=x/3-1/9



if f(x)=(3x-2)/6

answer:f^{-1}(x)=(6x+2)/3

4 0
2 years ago
Eva bought popcorn, candy and a drink at the movies. The popcorn was three times as expensive as the candy and the drink was twi
aliina [53]

The cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Given,

Eva bought popcorn, candy, and a drink at the movies.

The popcorn was three times as expensive as the candy and the drink was twice as expensive as the candy.

Eva spent a total of 10.50

We need to find the cost of popcorn, candy, and drink.

We have,

Let the cost of the candy be C.

Now,

The popcorn was three times as expensive as the candy.

Cost of the Popcorn = 3C

The drink was twice as expensive as the candy.

Cost of the drink = 2C

Eva spent a total of 10.50

Cost of popcorn + cost of drink + cost of candy = 10.50

3C + 2C + C = 10.50

Adding

6C = 10.50

Dividing by 6 into both sides

C = 10.50/6

C = 1.75.

Now,

Cost of the Popcorn = 3C = 3 x 1.75 = 5.25

Cost of the drink = 2C = 2 x 1.75 = 3.5

Cost of the candy = C = 1.75

Thus the cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Learn more about finding the cost of items with the given total cost here:

brainly.com/question/357628

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6 0
1 year ago
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