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4 years ago

-2(x + 8) = -2(7 + 2x)

Mathematics

1 answer:

Mnenie [13.5K]4 years ago

3 0

Answer:

x = 1

Step-by-step explanation:

-2x - 16 = -14 - 4x

-2x + 4x = -14 + 16

2x = 2

x = 1

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Solve for x.

ElenaW [278]

Step-by-step explanation:

By Side-Splitter Theorem,

20 / 30 = 36 / (x + 5 + 30).

Therefore (x + 5 + 30) = 54, x = 19.

3 0

3 years ago

Read 2 more answers

0.4 times by 3.7 multiplying by decimals

fomenos

3.7
x. .4
_______
148

then use the same number of decimals as are in the first two numbers added together. both have 1 so we need two decimals

1.48

6 0

4 years ago

Read 2 more answers

Assume that it costs Apple approximately E(x) 25,600 + 100x + 0.012 dollars to manufacture x 32GB iPods in a day. (a) The averag

uranmaximum [27]

Answer:

(a) $C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)x=1600, Minimum Average Cost Per iPod=$132

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

Step-by-step explanation:

Given that it costs Apple approximately $ C(x) to manufacture x 32GB iPods in a day, where:

$C(x)=25,600+100x+0.01x^2$

(a)The average cost per iPod when they manufacture x iPods in a day is given by:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}$

The average cost per iPod is therefore:

$C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)To minimize average cost of x iPods per day, we set the average cost per iPod=0 and solve for x.

$C'(x)=\dfrac{x^2-2560000}{x^2}=0\\x^2-2560000=0\\x^2=2560000\\x=\sqrt{2560000}=1600$

The resulting minimum average cost (at x=1600) is given as:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}\\\dfrac{25,600+100(1600)+0.01(1600)^2}{1600}\\=\$132$

Second derivative test

(c)The answer above is a critical point for the average cost function. To show it is a minimum, we calculate the second derivative of the average cost function.

$C''(x)=\dfrac{5120000}{x^3}$

At the critical point, x=1600

$C''(1600)=\dfrac{5120000}{1600^3}=0.00125$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

3 0

3 years ago

2 1/8x+3/4x+1/6-7/12x+5 2/3

Georgia [21]

55
—— x + 35/6
24

this is the final answer

7 0

3 years ago

Read 2 more answers

Given: y ll z

emmainna [20.7K]

Answer:

As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

$m\angle 5+m\angle 2+m\angle 6=180^\circ$

Step-by-step explanation:

Given:

Line y || z

i.e. y is parallel to z.

To Prove:

$m\angle 5+m\angle 2+m\angle 6=180^\circ$

Solution:

It is given that the lines y and z are parallel to each other.

$m\angle 5, m\angle 1$ are interior alternate angles because lines y and z are parallel and one line AC cuts them.

So, $m\angle 5= m\angle 1$ ..... (1)

Similarly,

$m\angle 6, m\angle 3$ are interior alternate angles because lines y and z are parallel and one line AB cuts them.

So, $m\angle 6= m\angle 3$ ...... (2)

Now, we know that the line y is a straight line and A is one point on it.

Sum of all the angles on one side of a line on a point is always equal to $180^\circ$ .

i.e.

$m\angle 1+m\angle 2+m\angle 3=180^\circ$

Using equations (1) and (2):

We can see that:

$m\angle 5+m\angle 2+m\angle 6=180^\circ$

Hence proved.

7 0

3 years ago

Read 2 more answers

-2(x + 8) = -2(7 + 2x)​

-2(x + 8) = -2(7 + 2x)