18. What is the slope of the linear function associated with the sequence {12, 9, 6, 3} for x = 1, 2, 3, 4?
A)-2
B) 2
C) 3
D) -3

Answers

Answer 1

Answer:

D) -3

Step-by-step explanation:

Slope of a linear function:

The slope of a linear function is the amount by which y changes when x increases by 1.

In this question:

When x = 1, y = 12

When x = 2, y = 9

When x = 3, y = 6

When x = 4, y = 3

So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.


Related Questions

To win a carnival prize, you need to choose
one of 3 doors labeled 1 through 3. Then you
need to choose a red, yellow, or blue box
behind each door. What is the probability that
the prize is in the blue or yellow box behind
door 27

Answers

Answer:

1/9

Step-by-step explanation:

im smart

A cycle wheel has a diameter of 56 cm.
17 Calculate the circumference of the
wheel.
278 Find the distance covered in 100 revo-
lutions.​

Answers

Formula for circumference is C= πd, meaning pi multiplied by diameter. I will complete the question using both 3.14 for pi, and the pi key on the calculator, as I am not sure what the rules are for your mathematics class.

Formula C=πd, where diameter (given: 56) is 56 and pi is 3.14.

C=πd

  = 3.14 x 56

  =175.84

∴ The circumference of the wheel is about 175.8cm.

To find how much distance covered in 100 revolutions, we must multiply the distance covered in one revolution by 100.

175.84 x 100= 17584

The question does not ask to convert to meters or kilometers so I may leave it like this.

If you are told otherwise, follow the rules for converting.

∴ The distance covered in 100 revolutions is 17,584cm.

Formula C=πd where d equals 56 and pi is the full value of pi (3.1415926....)

C=πd

 = π x 56

 =175.929

As you can see, we get a more accurate answer, but again, it is all up to your class rules.

∴ About 175.93 cm circumference

Revolutions:

175.93 x 100 = 17593

∴ About 17, 593cm.

I hope this helps!

Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?

Answers

Answer:

Angle 8 forms a pair of alternate exterior angles with angle 1.

the slope of line p is ___ and the slope of line q is ___

line p
a. -3
b. 1.5
c. 3

line q
a. -3
b. 1.5
c. 3

Answers

Answer:

Slope of line p = 3

Slope of line q = -3

Step-by-step explanation:

An easy way to find slope is to pick one point and move up the line to find the next point with exact coordinates.

For line p, we can use point (1,-1). Moving farther up the line, the next point that lands exactly on a coordinate, is (2,2) The slope of a line is the rise of a line over its run. Or, [tex]\frac{rise}{run}[/tex]. From the first point, we move up exactly 3 units, and over 1 unit to reach the next point. We rise 3 units and run 1 unit. In fraction form, [tex]\frac{3}{1}[/tex]. This simplifies to 3. The slope of line p is 3.

----------------------------------------------------------------------------------------------------------------

For line q, we can use the same method. Notice first that the line slopes down, which means the slope will be negative.

Now, we can pick a point on the line. Let's use the same one we used for line p, point (1,-1). The next point up the line is point (0,2). From point (1,-1), we rise 3 units, and run -1 unit. The run, we can tell, is negative, because it goes to the left. The slope is [tex]\frac{3}{-1}[/tex]. Simplify this to -3. The slope of line q is -3.

----------------------------------------------------------------------------------------------------------------

I hope this helps ^^ Good luck :)

An American football field is 20 yards longer than a soccer field. An American football field is 120 yards long. How long is a soccer field? Circle the correct answer.

Answers

Answer:

A soccer field is 100 Yards.

Step-by-step explanation:

120-100=100yds.

Rewrite without absolute value sign.
|x+12| if x>-11

Answers

|-11 + 12| = |-1|. Take away absolute value signs to get 1.

In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the criminal is male in an episode is 0.35. What is the probability, rounded to three significant figures, that in five consecutive episodes the criminal is a male at least 3 times?

Answers

Answer:

[tex]P(x \le 3) = 0.2352[/tex]

Step-by-step explanation:

Given

[tex]p = 0.35[/tex] --- male committing a crime in an episode

[tex]n = 5[/tex] -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]

So, the required probability is represented as:

[tex]P(x \ge 3)[/tex]

And will be calculated using:

[tex]P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)[/tex]

[tex]P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}[/tex]

[tex]P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2[/tex]

[tex]P(x = 3) = 10 * (0.35)^3 * (0.65)^2[/tex]

[tex]P(x = 3) = 0.1811[/tex]

[tex]P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}[/tex]

[tex]P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1[/tex]

[tex]P(x = 4) = 5 * (0.35)^4 * (0.65)[/tex]

[tex]P(x = 4) = 0.0488[/tex]

[tex]P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * (0.65)^0[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * 1[/tex]

[tex]P(x = 5) = 0.0053[/tex]

So:

[tex]P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)[/tex]

[tex]P(x \le 3) = 0.1811 + 0.0488 + 0.0053[/tex]

[tex]P(x \le 3) = 0.2352[/tex]

Please help meeeeeeeeeew

Answers

42 cubic feet .......

if a square has breath of 13 cm what would be the lenght and perimeter ?​

Answers

Answer:

The square will have length 13 cm only and it's perimeter will be:

4l

4×13cm

52cm

I hope it helps you

Find the equation of a circle whose center is at (8, -3) and radius 6.

Answers

Answer:

[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]

4x + 2 3x+24 solve for x

Answers

Answer:

x=22

Step-by-step explanation:

help :( math for 8th

Answers

Answer:

She should add 10x to both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 10x - 2 = 0   {Add 2 to both sides}

            +2 = +2

x² - 10x     = 2

Now to find what to add both sides, divide the co-efficient of x by 2

10/2 = 5

Add 5² to both sides

x² - 10x + 25 = 5²

(x - 5)² = 5²

Take square root both sides,

x - 5 = ± 5

x- 5 = 5   ;   x - 5 = -5

  x = 5+5 ;      x = -5 + 5

  x = 10    ;      x = 0

For each pair of lines, determine whether they are parallel, perpendicular, or neither
Line1 : 2y=5x+7
Line2: 4x+10y=8
Line3: y=5/2x-4

Answers

Answer: Lines 1 &3 are parallel with each other and line 2 is neither

Step-by-step explanation:

After singling out y for lines 1 & 2 you see they have the same slope 5/2 x

But for the second line it intersects worth both lines but does not make a 90 degree angle

special right triangle desmo

Answers

9514 1404 393

Answer:

  x = 15√3

  y = 30

Step-by-step explanation:

In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...

  1 : √3 : 2

Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.

  1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30

  x = 15√3

  y = 30

Help I need it by 12 tonight

Answers

the answer should be C

Find the difference -9.6-7.3

Answers

Answer:

-9.6-7.3 = -16.9

Step-by-step explanation:

In the quadratic function y = ax^2 + bx + c, the ___________ affects the width of the parabola.

b
c
a
bx

Answers

Answer:

the answer is the a affects the width

Step-by-step explanation:

the answer is a not the choice A, the third one

(i hope this help)

PLEASE HELP FAST ~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answers

Answer: y = 1/2x + 5

Step-by-step explanation:

Answer:

X x 1/2 = Y

Step-by-step explanation:

sarah buys a pair of shoes for $25 plus 8% tax. Hilary buys a shirt for $30mplus an 8% tax. What is the difference in the amount sarah and hillary paid, including tax?

Answers

Answer:

5.4

sarah = 27

Hilary = 32.4

Step-by-step explanation:

25(.08)+25=27

30(.08)+30= 32.4

32.4-27=5.4


Kevin earns $306.25 each week at his job. He is paid $8.75 per hour. How many hours does Kevin work each week?

Answers

Answer:

35 hours/week

Step-by-step explanation:

306.25/8.75 = 35

find the volume of this cylinder.

give your answer to 1 decimal place.

Answers

Answer:

≈5089.3801 (5089.4)

Step-by-step explanation:

the formula is πr^2 x h

so, V=πr2h=π·92·20≈5089.3801

Answer:

Step-by-step explanation:

6089.9

Samira is playing a game with the spinner shown.
What is the theoretical probability that the pointer will land in a section labeled with the letter J?

Answers

Answer:

2/10 or 1/5

Step-by-step explanation:

there are 10 equal 'slices'

then count those with a J

that would be 2

What are possible values for m and n? 3^m • 3^n = 3^-2
PLS HELPP THUS IS DUE IN LIKE A FEW MINS

Answers

It can be 7 or 8 because of the m

The name for the expression 3/13 is:
radical
radicand
radical sign
index

Answers

Answer:

Radical.

Step-by-step explanation:

To explain;

3√13 is a radical.

The 3 in this expression is known as the index.

The 13 in this expression is known as the radicand.

The √ is considered the radical sign.

The given expression is the radical sign.

The given expression is [tex]3\sqrt{3}[/tex].

What is the square of the number indicates?

The √ symbol is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Therefore, the given expression is the radical sign.

To learn more about the radicals visit:

https://brainly.com/question/12737007.

#SPJ2

Help plz ahhh plz pretty plz

Answers

Answer: 158 as area and perimeter 62

Step-by-step explanation:

Math work please help!!!

Answers

Answer:

your answer is 62°

I hope it's helps you

The sum of two number is 12 and there product is 27 find the number,let the number be X and Y

Answers

Answer:

the answer is 3 and 9

Step-by-step explanation:

(x for 3 and y for 9)

3 + 9 = 12 and 3×9= 27

Question 6 of 10
An arithmetic sequence has this recursive formula:
12 = 7
1a = 8-1-4
What is the explicit formula for this sequence?
A. an = 7+ (n-1)(-4)
B. a, = (-1) + (n - 7)(-4)
C. an = -4 + (n-1)7
D. an = 7 + (n - 4)(-1)

please answer !!!

Answers

Answer:

It's A

Step-by-step explanation:

I've already done this!

Answer A step by step

if the volume is 56 in the length is 4 in and the width is 7 in what is the height of the rectangular prism

Answers

Answer:

2

Step-by-step explanation:

lxwxh

7x4=28

56/28=2

The lowest point in a business cycle, which follows a period of economic
decline, is called a(n)
A. trough
B. contraction
C. peak
D. expansion

Answers

Your answer is b hope this helps

The lowest point in a business cycle, which follows a period of economic

decline, is called a trough. Therefore, option A is the correct answer.

What is a period of economic decline?

A prolonged period of weak or negative real GDP (output) growth that is accompanied by a noticeably higher unemployment rate is known as a recession. During a recession, a lot of other economic activity indices are similarly weak.

Trough: This refers to the stage of the business cycle when economic activity is at its lowest point.

Expansion: It denotes the period following a dip when overall demand rises. It leads to a rise in output and a decrease in unemployment.

In the business cycle, expansions and contractions alternate (also called recessions).

Recessions frequently begin at the business cycle's high, when an expansion comes to an end, and finish at its trough, when the following expansion starts.

Therefore, option A is the correct answer.

Learn more about a period of economic decline here:

https://brainly.com/question/4065260.

#SPJ5

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