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3 years ago

Solve the Following Equation................ 15(x+4)=-2

Mathematics

1 answer:

charle [14.2K]3 years ago

7 0

Answer: x=-4+2/15

Step-by-step explanation:

1) Move all terms to the left:

15(x+4)-(-2)=0

2) Add all the numbers together, and all the variables

15(x+4)+2=0

3) Multiply parentheses

15x+60+2=0

4) Add all the numbers together, and all the variables

15x+62=0

5) Move all terms containing x to the left, all other terms to the right

15x=-62

x=-62/15

x=-4+2/15

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A trig function given below. Describe the transformations from

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Answer:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Range: [-3 , 1]

Step-by-step explanation:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Sketch the graph using 5 points listed below:

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2) (pi/2, -3)

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4) (3pi/2, 1)

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Range: [-3 , 1]

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3 years ago

Simplify the expression 3x + 4

cestrela7 [59]

Answer:

it is already simplified

Step-by-step explanation:

3x + 4 is simplified already

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2 years ago

Read 2 more answers

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

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:

$P(X > x) = 0.01$

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

$e^{-0.2857x} = 0.01$

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

$-0.2857x = \ln{0.01}$

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

$x = 16.12$

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

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3 years ago

3. Bryce mows lawns to make some extra money. He charges $15 per lawn. Bryce will

anyanavicka [17]

The domain and range of a function is the set of input and output values, the function can take.

The domain is [0,6]
The range is [0,90]

From the question, we have:

$\mathbf{Rate = \$15}$

The domain

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This means that the domain is: 0 to 6

This is properly represented as: [0,6]

The range

When he mows 0 yards, his earnings is:

$\mathbf{Earnings = 0 \times \$15 = \$ 0}$

When he mows 6 yards, his earnings is:

$\mathbf{Earnings = 6 \times \$15 = \$ 90}$

This means that the range is: 0 to 90

This is properly represented as: [0,90]

Read more about domain and range at:

brainly.com/question/4767962

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3 years ago

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Which situation below has a negative correlation?

The younger the child, the more sleep they need.

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3 years ago