Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

Answer 1

Answer: $x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

Answer 2

Answer: x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

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Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answers

Answer:

C. f(2) = 0, and g(-2) = 0

Step-by-step Explanation:

From the graph given, the line for f(x) and g(x) intercept each other at x = 0, when y = 4, that is f(0) = 4 and also g(0) = 4.

From the graph, on the line of g(x), when x = -2, y = 0, that is g(-2) = 0.

Also for f(x), when x = 2, y = 0. That is, f(2) = 0.

Therefore, the statement that is true about the graphed function is:

f(2) = 0, and g(-2) = 0

a bicycle is on sale at $12 more than half of a regular price. If the sale price is $ 75, find the regular price

Answers

75-12=63 x 2=126<------------- answer

The gcf of 135 225 270

Answers

The greatest common factor of 135 225 and 270 is 135/225 = 3/5

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The GCF of 135, 225, and 270 is 45.

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. To find the GCF of 135, 225, and 270, we need to find the common factors of the three numbers and choose the largest one.

The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135.

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225.

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

The common factors of 135, 225, and 270 are: 1, 3, 5, 9, 15, 45.

The largest common factor is 45. So, the GCF of 135, 225, and 270 is 45.

Learn more about GCF here:

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A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table.How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen?

The experimental probability is 4 less than the theoretical probability.
The experimental probability is 1/15 less than the theoretical probability.
The experimental probability is 1/15 more than the theoretical probability.
The experimental probability is 4 more than the theoretical probability.

Answers

The experimental probability is 1/15 less than the theoretical probability.

Given

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings.

Carlie chooses a card from the set, records the type of card, and then replaces the card.

She repeats this procedure a total of 60 times. Her results are shown in the table.

What is experimental probability?

Theoretical probability describes how likely an event is to occur.

The theoretical probability of choosing a Queen is;

$\rm Theoretical\ probability= (Observed \ frequency)/(Probability \ of \ selecting \ Queen)\n\n Theoretical\ probability= (16)/(4)\n\n Theoretical\ probability= (4)/(1)$

What is experimental probability?

Experimental probability describes how frequently an event actually occurred in an experiment.

The experimental probability of choosing a Queen is;

$\rm Experimental \ probability = Relative \ frequency\n\nExperimental \ probability = (4)/(15)$

For comparing the theoretical and experimental probability of both equations.

$\rm =(Experimental \ probability)/(Theoretical \ probability)\n\n= ((4)/(15))/((4)/(1))\n\n= (4)/(15)* (1)/(4)\n\n= (1)/(15)$

Hence, the experimental probability is 1/15 less than the theoretical probability.

To know more about Experimentalprobability click the link given below.

brainly.com/question/3733849

Answer:

the answer is b

If you have earned income, which of the following retirement devices must you contribute to, by law

Answers

The correct answer is:

Social Security.

Explanation:

By law, every person must pay into Social Security when they get a job.

Social Security was developed by Franklin Roosevelt during the 1930s. It was created with the intention of creating a pension for all working people, regardless of the job they work. For this reason, everyone pays in to Social Security while they work and can draw it at retirement.

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