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Dmitry [639]
3 years ago
11

Solve 4x − 2(x + 1) = 3x + 10. (5 points)

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

x=-12

Step-by-step explanation:

4x-2x-2=3x+10

2x-2=3x+10

 +2 =3x+12

2x=3x+12

-3x=12

-x=12

x=-12

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B

Step-by-step explanation:

No matter what value you multiply a, the fraction will remain unchanged. That is because you can divide an a out from the numerator and the denominator. Thus, doubling a has no affect on the fraction, and in fact, u can simplify it to just bc. Now, if you halve b, it will simply just halve the actual value. When you halve b, you are simply executing (1/2)(b)(c). Therefore, you can rearrange the expression to be (1/2)(bc), which is just halving bc. If you decrease by 1/2, it's the same thing as being half of the value it was before. Therefore, the answer is b.

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Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall. Each foam block is a cube with 14 -ft
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3 0
3 years ago
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A beam of polarized light with intensity I0 and polarization angle θ0 strikes a polarizer with transmission axis θTA. What angle
11Alexandr11 [23.1K]

Answer:

θ^{TA} - θ^{0}

Step-by-step explanation:

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4 0
3 years ago
Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 5p+5x+3px=71. Suppose al
vova2212 [387]

Answer:

decrease of 1.153 sales per day

Step-by-step explanation:

Given:-

- The price of item = p

- The number of sales = x

- The relationship between "p" and "x" is given below:

                             5p+5x+3px=71

Find:-

Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day

Solution:-

- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":

                               d/dt (5p+5x+3px=71)

                               5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0

- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:

                               5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0

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6 0
3 years ago
Suzanne has a rectangular garden which is 18 feet long and 11 feet wide. She has 168 square foot of paving stones, and she wants
VikaD [51]

Answer:

width = 2.5 feet

Step-by-step explanation:

Suzanne has a rectangular garden which is 18 feet long and 11 feet wide.

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Let 'w' be the width of the border

Length of the garden with border = 18+2w

Width of the garden with border = 11+2w

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w=\frac{-58+-\sqrt{58^2-4\cdot \:4\left(-168\right)}}{2\cdot \:4}

w=\frac{-58+-\sqrt{6052}}{8}

we get two values for w

w=\frac{-58+\sqrt{6052}}{8}=2.47

w=\frac{-58-\sqrt{6052}}{8}=-16.97

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