MATHEMATICS HIGH SCHOOL

For which of the following sequences is it true that every term (after the first one) is 4 less than the previous term A. -3,1,5,9
B. 9,5,1,3
C. 7,3,-1,-5
D. 8,4,8,4

Answers

Answer 1
Answer: its C. 7, -3,-1,-5
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A national retail chain has asked Susan to conduct a customer satisfaction analysis. How should Susan collect the data? A. by conducting a census of the customers who filed complaints B. by conducting a census of the customers who shop in the stores C. by taking a random sampling of the customers who filed complaints D. by taking a random sampling of the customers who shop in the stores
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4x + 2(x – 3) = 4x + 2x – 11
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The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 26. If the vertical distance from the bottom to the top the mountain is 725 feet and the gondola moves at a speed of 180 feet per minute how long does the ride last?

I am confused on this , I’ve tried twice and got it wrong.

Answers

Answer:

f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)

Step-by-step explanation:

Consider the function  f(x)=√(4-x)+3 for the domain (- \infty, 4].

Find f^-^1(x), where f^(-1) is the inverse of f.

Also state the domain of f^(-1) in interval notation.

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We can start solving this problem by finding the inverse of f(x). This is done by switching the x- and y- variables, and solving for y.

  • y=√(4-x)+3 \rightarrow x=√(4-y)+3
  • x=√(4-y)+3

We can start solving for y by subtracting 3 from both sides of the equation.

  • x-3=√(4-y)

Get rid of the radical by squaring both sides of the equation.

  • (x-3)^2=(√(4-y))^2
  • (x-3)(x-3)=4-y

Use FOIL to multiply the binomial (x-3) together.

  • x^2-3x-3x+9=4-y

Combine like terms.

  • x^2-6x+9=4-y

Subtract 4 from both sides of the equation.

  • x^2-6x+5=-y

Divide both sides of the equation by -1.

  • -x^2+6x-5=y
  • f^-^1(x)=-x^2+6x-5

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The domain and range of a function are flipped for its inverse, meaning that to find the domain of the inverse function, you can find the range of the original function f(x), and that will be your inverse function's domain.

The range of f(x)=√(4-x) +3 is y \geq 3, since the vertical shift of the graph is at k = 3. You can also graph this function on a calculator to see that the graph does indeed start at y = 3.

Now that we know the domain and range of the original function, we know that these are flipped for the inverse function.

Original function:

  • Domain: x\leq 4
  • Range: y\geq 3

Inverse function:

  • Domain: x\geq 3
  • Range: y\leq 4

The final answer is:

The inverse f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty).

You can also write the domain as: x\geq 3.

A CARPENTER BOUGHT A PEICE OF WOOD THAT WAS 371.952 CENTIMETERS LONG . TTHEN HE SAWED 0.68 CENTIMETERS LONG OFF THE END. HOW LONG IS THE PEICE OF WOOD NOW

Answers

Answer: the piece of wood is now 371.272 centimeters long. also please stop yelling.

Step-by-step explanation: To find the length of the piece of wood after 0.68 centimeters are sawed off, you need to subtract 0.68 from the original length of 371.952 centimeters.

371.952 - 0.68 = 371.272 centimeters

Please let me know if there is anything else I can help you with!

Find the exact value of tan A in simplest radical form.

Answers

Answer:

6

Step-by-step explanation:

Tanx =opposite/adjacent

tanx=6/1=6

A high school student volunteers to present a report to the administration about the types of lunches students prefer. He surveys members of his class and records their choices. What type of sampling did the student use? systematic random sampling voluntary sampling convenience sampling stratified sampling

Answers

The student use convenience sampling.

This is convenience sampling because in this type of sampling we use closer part of the population. Here the person is surveying his classmates, the closest samples available. In this type of sampling, it is easy to gather samples because every members are of their class easily available to give the survey.

Hence this type of sampling called convenience sampling.

For more details on convenience sampling follow the link:

brainly.com/question/1413932

Answer:

The correct answer is - convenience sampling

Step-by-step explanation:

This is convenience sampling because in this type of sampling we use closer part of the population. Here the person is surveying his classmates, the closest samples available. In this type of sampling, it is easy to gather samples.

Complete the square x2 + 4x +3=15 somebody help​

Answers

Answer:

x=2

Step-by-step explanation:

2^2=4

4^2=8

4+8+3=15

Alex, Sara and Henry share £112 in a ratio 3:3:2. How much money does each person get?

Answers

Answer:

Step-by-step explanation:

3:3:2 = 3x +2x +3x = 8x

112 = 8x

x = 14

alex = 3x = 3(14) = 42

sara = alex = 42

henry = 2x = 28
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