Which of the following equations represents a line parallel to the line given by y=5x +9?

Answer:

Hey there!

a. 2x+5=30

b. 1/3x-8=x+1

c. 3=21/(x+5)

d. 3x-5=46

For the picture

a. y=7x+60

b. y=5x+120

c. 7x+60=5x+120

Let me know if this helps :)

Answer:  see below

Step-by-step explanation:

The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x

Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.

Quadrangles are: 0°, 90°, 180°, 270°, 360°  (360° = 0°)

Together, the coordinates will be as follow:

[tex]\boxed{\begin{array}{c||c|c||c}\underline{(cos,sin)}&\underline{x=angle}&\underline{y=cosx}&\underline{\quad (x,y)\quad}\\(1,0)&0^o&1&(0^o,1)\\(0,1)&90^o&0&(90^o,0)\\(-1,0)&180^o&-1&(180^o,-1)\\(0,-1)&270^o&0&(270^o,0)\\(1,0)&360^o&1&(360^o,1)\end{array}}[/tex]

Answer:

sinx = perpendicular/hypotenuse

sinx = 12/16

sinx = 3/4

x = arcsin 3/4

x = 48.6 degrees (using calculator)

Answer:

First: Subtract each side to get y-b=mx

Secound:divide each side by x to get y-b/x=m

Third:we divide both sides b x to get m by itself.

(y-b)/x=(mx)/x

(y-b)/x= m

Therefore m is equal to(y-b)/x

Answer:

9, 8, 7

Step-by-step explanation:

This is the rank of the cards from highest to lowest and the terms are:

So the next 3 terms are 9, 8, 7

Answer:

Step-by-step explanation:

if f(x) = 1/(x+1)

the f(f(x)) means, wherever you see an "x" in the function.

plug in the function again.

so plug in "1/(x+1)" wherever you see an x

so...

1/(f(x) + 1)  

1/((1/(x+1))+1)

now you're going to need to fix the denominator.  

at the moment... this is what you're denominator looks like.

1/(x+1) + 1

so, combine them. find the LCD

LCD = x + 1

1/(x + 1) + x + 1 / x + 1

x + 2 / x + 1

that's your new denominator.

f(f(x)) = 1 / (x + 2 / x + 1)

because it's 1 / something. all you need to do is get the reciprocal of that "something"

so, what's the reciprocal of x + 2 / x + 1?

x + 1 / x + 2

that's your final answer.

next one.

remember, same deal, everywhere you see an "x" plug in the original function.

f(x) = x/(x+1)

f(f(x)) = f(x) / ( f(x) + 1 )  

= [x / (x + 1) ] / [ (x / (x + 1) ) + 1 ]

so, right now this is your denominator.

(x / x + 1) + 1

combine, find the LCD, LCD = x + 1

x / x + 1  +  x + 1 / x + 1

2x + 1 / x + 1

that's your new denominator.

so plug it in.  

[x / (x + 1) ] / [2x + 1 / x + 1]

this is a little more complicated. but remember, whenever you divide by a fraction, it's the same as multiplying by it's reciprocal

so...

rewrite it like this.

x / (x + 1) * (x + 1) / 2x + 1

the x + 1 cancel out.

and you're left with

x / 2x + 1

hope that helps!

Answer:

2.85

Step-by-step explanation:

Answer:

Step-by-step explanation:

That depends upon what your goal is.  State your goal specifically.

If the instructions say to "solve the following equation for x," then your first move should be to add 4 to both sides.  Associative property

Answer:

A) Mean cost per game= $202.8

B). Range= $104

C). Variance= 1182.96

D).Standard deviation=34.39

E). $1014 per person

Step-by-step explanation:

The data of the cost

= $266, $201, $197, $188, $162

A). Mean cost per game

Mean = (266+201+197+188+162)/5

Mean = 1014/5

Mean = 202.8

Mean cost per game= $202.8

B) range = highest value- Lowest value

Range= 266-162

Range= $104

C) variance= ((266-202.8)²+(201-202.8)²+(197-202.8)²+(188-202.8)²+(162-202.8)²)/5

Variance=(3994.24+3.24+33.64+219.04+1664.64)/5

Variance= 5194.8/5

Variance= 1182.96

D). Standard deviation= √variance

Standard deviation= √1182.96

Standard deviation=34.39

E).Mean cost per person

= Mean *5

= 202.8 *5

= $1014 per person

Answer:

Solving for the variable, x: [tex]x = \frac{1}{3}y + \frac{2}{3}[/tex]

Solving for the variable, y: [tex]y = 3x - 2[/tex]

Step-by-step explanation:

IF:

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for x. Add 2y to both sides:

6x - 2y (+2y) = 4 (+2y)

6x = 4 + 2y

Next, divide 6 from both sides:

(6x)/6 = (4 + 2y)/6

x = (2y)/6 + (4)/6

x = (1/3)y + (2/3)

IF:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, y. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for  y. Subtract 6x from both sides:

6x - 2y = 4

6x (-6x) - 2y = 4 (-6x)

-2y = -6x + 4

Then, divide -2 from both sides:

(-2y)/-2 = (-6x + 4)/-2

y = (-6x)/-2 + (4)/-2

y = 3x + (-2)

y = 3x - 2

~

Answer: 16/77

Step-by-step explanation: Here we're asked to evaluate ab

given that a = 4/7 and b = 4/11.

So we start by plugging in our given

values for a and b into the problem.

If we do this, ab would then be (4/7)(4/11).

When multiplying two fractions together, we multiply across

the numerator and we also multiply across the denominators.

So (4/7)(4/11) is 16/77 which is our final answer.

Answer:

16/77

Step-by-step explanation:

When two numbers are close togtether, you want to multiply them.  Since it is ab, you multiply a and b.  

a= 4/7

b= 4/11

so, 4/7 times 4/11

When you multiply fractions, you multiply the numerators (the top number of a fraction) of the fractions together.  You also multiply the denominators(the bottom number) of the fractions together.

So, let's multiply the numerators first.

4 times 4 equals 16, so that is the new numerator

7 times 11 is 77, so that is the new denominator

Let's combine it into a fraction.  Numerator/denominator= 16/77

Sometimes, you will need to reduce.  Reducing meaning that you divide the fraction by a number so it can't be reduced/divided anymore.  Until a fraction is at it's simplest form.  

Example: 2/4 reduces to 1/2 because both the numerator, 2, and the denominator, 4, can be reduced by 2.  As you can see, 1/2 is at it's simplest form and cannot be reduced any further.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} - 13x + 20}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(x - 4)(2x - 5)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒[tex] \sf{x(2x - 5) - 4(2x - 5)}[/tex]

⇒[tex] \sf{2 {x}^{2} - 5x - 8x + 20}[/tex]

Collect like terms

⇒[tex] \sf{2 {x}^{2} - 13x + 20}[/tex]

Hope I helped!

Best regards!!

Answer:

2x² - 13x + 20

Step-by-step explanation:

(x - 4)(2x - 5)

x(2x - 5) - 4(2x - 5)

Opening the brackets gives;

2x² - 5x - 8x + 20

Simplifying this equation gives;

2x² - 13x + 20

Answer:

The Confidence Interval = (66.1476, 68.8524)

Step-by-step explanation:

The formula for confidence interval of a normal distribution is given as:

Confidence Interval = μ ± z × σ/√n

Where:

μ is the mean height = 67.5

σ is the standard deviation = 2.1 inches

n is the number of samples = 16 bookcases

z = 99% confidence interval = 2.576

Confidence Interval = 67.5 ± 2.576 ×2.1√16

= 67.5 ± 2.576 × 2.1/4

Confidence Interval = 67.5 ± 1.3524

67.5 - 1.3524 = 68.8524

67.5 + 1.3524 = 66.1476

Therefore, the Confidence Interval = (66.1476, 68.8524)

Answer: -5

Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5

Answer:

-5

Step-by-step explanation:

2+-11=-9

2+-6=-4

-9- -4=-5

Greetings from Brasil....

Remember that F(X) = Y

Looking at the graph we can conclude that:

Y > 0 when X < - 4 (up until -∞)

Y = 0 when X = - 4

Y < 0 when X > - 4 (up until +∞)

So choose:

[F(X) = Y]  > 0 over the interval ]-∞; -4[

(last option)

Answer:

[tex]\sqrt[3]{4(x-3)} /2[/tex]

Step-by-step explanation:

The sum of the positive divisors of 448 will be 1,016.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The number 448 can be divided by 14 positive divisors (12 are even, and 2 are odd). The sum of these divisors is 1,016, the average is 72.,571.

Therefore, the sum of the positive divisors of 448 will be 1,016.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

x=10 84 cm

Step-by-step explanation:

We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.

4(2x+1)

8×+4 is the perimeter for the square.

A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.

3(3x-2)

9x-6 is the perimeter of the triangle.

We know that these perimeters are equal to each other. Then we just solve for x.

8x+4=9x-6

10=x

Plug 10 into the square equation.

8(10)+4

84 cm

Answer:

x = 10

Square perimeter = 84cm

Triangle perimeter = 84cm

Step-by-step explanation:

Hello!

First, we make an equation to find the perimeter of each shape

For a square we multiple one side by 4

(2x + 1) * 4

Simplify

8x + 4

An equilateral triangle means each side is equal so we can multiply one side by 3

(3x - 2) * 3

Simplify

9x - 6

The problem states they are equal to each other so we can show that

8x + 4 = 9x - 6

Now we can solve for x

Subtract 8x from both sides

4 = x - 6

Add 6 to both sides

10 = x

Now we can put x into our original equations for the perimeters

Square

8(10) + 4

80 + 4

84cm

Triangle

9(10) - 6

90 - 6

84cm

Hope this Helps!

Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

The correct answer is 17: 30

Explanation:

The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.

In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, [tex]\frac{17}{30}[/tex] or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.

Answer:

Duval got a hit 30% of the time during the season. The total number of hits was 24. 24/80 is 0.30. Multiply by 100 to obtain the percentage. 0.30*100 = 30%.

Step-by-step explanation:

Hello, please consider the following.

[tex]{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...[/tex]

Let me know if you need further explanation.

Thank you

Answer:

0.0482

Step-by-step explanation:

Given the following :

Probability of success : p(success) = 0.25

Number of trials = 800

X = number of successes

Calculate P(X > 220)

The problem above can be solved using the binomial probability formula:

P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)

To save computation time, we coild use the online binomial probability calculator :

P(X > 220) = 0.0482

The binomcdf function of a graphing calcukatur can also be used :

1 - binomcdf(800, 0.25, 220)

1 - (0.95177363855) = 0.04822

Answer:

D . 9 .1/13

Step-by-step explanation:

[tex]9\div 13 = \frac{9}{13} \\\\9\cdot \frac{1}{13}\\\\=\frac{9}{1}\cdot \frac{1}{13}\\\\=\frac{9\cdot \:1}{1\cdot \:13}\\\\=\frac{9}{13}[/tex]

Answer/Step-by-step explanation:

We are told that:

Area of the given square = 1 square units

2 of the small triangles will make up the square when joined together.

Since area of the square is 1 square units, area of the 2 small triangles = 1 square units.

We are also told that 2 of the small triangle will also make up the medium triangle when joined together.

Therefore, since area of 2 small triangles = area of the square = 1 square units, the medium triangle would also have an area of 1 square units.

1. Area of the small triangle is ½ square units. I know this because 2 small triangles = area of the square = 1 square units.

2. The area of the medium triangle is 1 square units. I know this because 2 small triangles make up the medium triangle, and 1 small triangle has an area of ½ square units.

3. The area of the large triangle is 2 square units. I know this because if the medium triangle is made up of 2 small triangles, then 4 small triangles will make up the big triangle, or 2 medium triangle will make up the big triangle.

Answer:

  x = 31

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x:

  [tex]4x=124\\\\\dfrac{4x}{4}=\dfrac{124}{4}\qquad\text{divide by 4}\\\\x=31\qquad\text{simplify}[/tex]

Answer:

Below

Step-by-step explanation:

● 64x3 − 336x2y + 588xy2 − 343y3

● (4x)^3 - 3 × 112x^2y + 3 × 196xy^2 - (7y)^3

● (4x)^2 - 3× 16x^2 × y +3× 4x×49y^2-(7y)^3

● (4x-7y)^3

Answer:

Yes.

(20-(-16)) = 20 + 16

20 + 16 = 36 thus

(20-(-16)) = 36

Step-by-step explanation:

With your equation, I'm pretty sure you are trying to determine whether or not this equation is true. Let's start with the first part.

(20-(-16))

Let's break it down.

20 - -16

Whenever a number is like that, it becomes a positive. (I don't really remember what its called, but it flips in negativity)

20 + 16

20 + 16 = 36.

36 = (20-(-16))