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3 years ago

Write an explicit equation for the arithmetic sequence 3,7,11,15,19

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Answer:

Arithmetic Sequence:

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

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The set S = {x|-11 < x < 2} is described by which interval notation?

Alla [95]

They are open ended because -11 and 2 are not included in the interval.

<h3>Linear inequality in interval notation</h3>

Linear equations are expression not separated by an equal sign.

Given the inequality S = {x|-11 < x < 2}

This means that the values in the interval is between -11 and 2, the expression in interval notation will be given as;

(-11, 2). Note that they are open ended because -11 and 2 are not included in the interval.

Learn more on interval notation here: brainly.com/question/13160076

#SPJ1

3 0

2 years ago

In 1994, the General Social Survey had a question that asked its participants (that currently smoked) if they had ever tried to

Roman55 [17]

Answer:

0.8239 is the population proportion of participants that tried quitting smoking.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 142

Participants that tried quitting smoking = 117

Parameter:

A parameter is a numerical value that describes a population.

Population proportion can be calculated as:

$p = \dfrac{x}{n} \\\\p= \dfrac{117}{142} \\\\p= 0.8239$

0.8239 is the population proportion of participants that tried quitting smoking.

7 0

3 years ago

Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank

Monica [59]

Answer:

The roots are

$x1= \frac{-3+\sqrt{233}}{4}$

$x2= \frac{-3-\sqrt{233}}{4}$

Step-by-step explanation:

we have

$2x^{2}+3x-15=13$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$2x^{2}+3x=13+15$

$2x^{2}+3x=28$

Factor the leading coefficient

$2(x^{2}+(3/2)x)=28$

Complete the square. Remember to balance the equation by adding the same constants to each side

$2(x^{2}+(3/2)x+(9/16))=28+(9/8)$

$2(x^{2}+(3/2)x+(9/16))=233/8$

$(x^{2}+(3/2)x+(9/16))=233/16$

Rewrite as perfect squares

$(x+(3/4))^{2}=233/16$

square root both sides

$(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}$

$x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}$

$x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}$

7 0

3 years ago

2. Tyler has 4 times as much money as Ryan. Find the ratio of Ryan's money to<br> Tyler's money.

Phantasy [73]

Answer:

1:4

Step-by-step explanation:

4 0

3 years ago

Find m and n if if the sum of zeros of mx²-2x + n is 4, and product is 4

QveST [7]

Answer:

dont know

Step-by-step explanation:

5 0

3 years ago