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3 years ago

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Match the equivalent expressions 3x+5x+8, 4x+4x, 4x+4x+4x+4x, -7x + 4 + 3x, 8x, 16x, -4x + 4 and 8x + 8

1 answer:

FrozenT [24]3 years ago

4 0

Answer:

Combine like terms; 3x + 5x= 8x

Since you don't have any like terms for +8, it's going to remain the same and not change.

Answer : 3x + 5x + 8 = 8x + 8

Again with combining like terms, 4x + 4x = 8x

Answer: 4x + 4x = 8x

The third expression is going to be very similar to the last problem. 4x + 4x + 4x + 4x. We're going to add the terms together. 4+4+4+4 is equal to 16. Bring the x down and you get...

Answer: 16x

Lastly, we have -7x + 4 + 3x. Do the exact same thing we did to the other problems, combining like terms, shocking, I know. -7x + 3x= -4 and since there's no other like terms for +4, it stays the same. Therefore

Answer: -7x + 4 + 3x = -4 + 4

I hope this helps, mark as brainliest, please? :)

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Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that $m = 3.5, \mu = \frac{1}{3.5} = 0.2857$

What number of minutes should the advertisement use?

The values of x for which:

$P(X > x) = 0.01$

So

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

$\ln{e^{-0.2857x}} = \ln{0.01}$

$-0.2857x = \ln{0.01}$

$x = -\frac{\ln{0.01}}{0.2857}$

$x = 16.12$

Rounding to the nearest number, the advertisement should use 16 minutes.

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UkoKoshka [18]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0 x+9 =0

x = 4 x=-9

Cannot be negative since that is negative length

x=4

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Step-by-step explanation:

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Answer:

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