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zhenek [66]
2 years ago
15

Which expression is equivalent to the expression -3(4x - 2) - 2x

Mathematics
1 answer:
Mars2501 [29]2 years ago
8 0

Answer:

-14x + 6 (option D)

Step-by-step explanation:

To solve the given equation, you first need to distribute the negative 3.

So, you need to multiply

(4x)(-3)  ;  (-2)(-3)

(4x)(-3)= -12x

(-2)(-3)= 6

So, your new, distributed, equation would be:

-12x + 6 - 2x

If we combine like terms (-12x - 2x), our new equation will be:

-14x + 6

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An object is placed 21 cm from a concave lens of focal length 25 cm. what is the magnification?
wariber [46]

The magnification is 0.54

Given,

The distance between object and concave lens, u = -21 cm

Focal length of the concave lens, f = -25 cm

Let m be the magnification.

m = v/u

Here v is the position of image.

We have to find v first.

By using lens equation we can determine v.

That is,

1/f = 1/v – 1/u

So,

- (1/25) = 1/v – (-1/21)

- (1/25) = 1/v + 1/21

1/v = - (1/25) – 1/21

1/v = (-25 – 21) / (21 x 25)

1/v = - (46/525)

Therefore v = - (525/46)

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Now we have to find magnification, m.

m = v/u

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   = 0.54

Here magnification is 0.54

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2 years ago
Consider the function f(x)=a sin(bc+c). which of the following combinations of parameter values will result in a graph of f(x) i
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The perimeter of a basketball court is 278ft. The length is 41ft longer than the width. Find the dimensions of the court.
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We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w

Then we'll COMBINE LIKE TERMS: 278 = 4w + 82

Next we'll subtract 82 from both sides: 196 = 4w

And finally divide both sides by 4:
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Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.

Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
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