How do you prove a number is irrational?

The x-intercept will be  -2.

Now, According to the question:

How do you find the x-intercept?

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.

Here the equation is 2x-y = -4.

For finding the x-intercept

let us put the value of y as 0 we get,

2x−0=−4

⇒2x=−4 .

Dividing both sides by 2 we get,

2x2=−4/2⇒x=−2 .

Therefore, the x-intercept is -2.

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Answer:

Part A is D 125 E and A part B is  C

Step-by-step explanation:

Log₁₀ is an expression used to represent logarithmic functions with a base of 10. To write log₁₀ in Microsoft Word, you can use the “Insert Equation” feature.

To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log₁₀ symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.

If you need to type out the equation, you can type “log₁₀” and it will automatically be converted to the log₁₀ symbol.  You can also use the shortcut CTRL+Alt+L to insert the log₁₀ symbol directly into your document.

If you are using a Mac, you can use the shortcut Command+Shift+L.  The log₁₀ symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$ 41 thousand less than twice that of an individual. the average yearly salary of an individual with each of these final degrees is: $50,000 (Bachelor's degree) and $59,000 (Master's degree )

Let x represent the average yearly salary of an individual with the bachelor's degree

Let (2x-41000) represent the   average yearly salary of an individual with the master's degree

Let the sum of these salaries = 109000

So, x + (2x-41000) = 109000

Simplify and solve:

3x = 109000 + 41,000

3x = 150,000

Divide both side by 3x

x= 150,000/3

x = 50,000 (Bachelor's degree)

So,

(2x-41000)

= 2(50,000) - 41,000

=100,000 - 41,000

= $59,000 (Master's degree )

Therefore the average yearly salary is $50,000 (Bachelor's degree) and $59,000 (Master's degree )

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By simple reasoning, The chance of Carol being selected is 1/800.

A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.

A straightforward random sample is being taken from a population that includes both Larry and Carol.

So both of them have an equal chance of being chosen.

Now, Larry's likelihood of being chosen is 1 in 800.

The likelihood of Carol being chosen is then 1 in 800.

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Answer:

1). 0.625

2). 0.5

3). 0.6

4). 1.75

5). 0.6666 (repeating decimal)

hope this helped!

Answer:

$2581.60

Step-by-step explanation:

In order to find the amount owed after 4 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the amount owed after t years

P is the principal, or initial amount borrowed

r is the interest rate

n is the number of times the interest is compounded per year

t is the number of years

Plugging in the given values, we have:

A = $2000(1 + 0.07/2)^(2*4)

= $2000(1.035)^8

= $2000(1.2908)

= $2581.60

Therefore, the amount owed after 4 years would be $2581.60.

The value of b is degree 104.we can find by using vertically opposite theorem.

Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.

Now we have

(b-308)=(-2b+4)

b+2b=4+308

3b=312

b=104

Hence the value of b is 104 degree.

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Answer:

66

Step-by-step explanation:

7(12)+3(-6)

84-18=66

Answer:66

Step-by-step explanation:

X = 12

Y = -6

(7*12)+(3*-6)

84-18=66

Answer:

it must be less than 90 degrees

Answer:

they are supplementary angles since they add up to 180

The amount luke made more than alexa is $3.91 .

What is simple interest ?

simple interest can be defined as the ratio of product of principal amount , rate and time and 100.

Luke investment,

This is compound interest so the future value formula will be used:

= Amount * ( 1 + rate) ^ no. of years

= 4,000 * ( 1 + 1.8%)³

= $4,219.91

Alexa investment:

Simple interest is calculated with the formula:

= Amount * ( 1 + rate * time)

= 4,000 * ( 1 + 1.8% * 3)

= $4,216

Amount Luke made more than Alexa:

= 4,219.91 - 4,216

= $3.91

Hence , The amount luke made more than alexa is $3.91 .

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The appropriate scale for a drawing are-

The appropriate scale for a drawing that fits on a regular sheet of paper

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The correct question is attached-

Answer: The slope is the cost per hour (in this case $20 per hour).

=========================================================

Further Explanation:

Recall that,

[tex]\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}[/tex]

The rise tells us how much to go up or down, depending if the rise is positive or negative. The run tells us how much to go to the right. Always move to the right.

In this problem, the change in y is the change in price. The change in x is the change in hours. Dividing the two items gives cost per hour, aka unit cost.

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

Example:

Let's pick two points from this line and use the slope formula. I'll pick (1,60) and (3,100) as they are the only two points with coordinate labels.

So,

[tex](x_1,y_1) = (1,60) \text{ and } (x_2,y_2) = (3,100)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{100 - 60}{3 - 1}\\\\m = \frac{40}{2}\\\\m = 20\\\\[/tex]

The slope is 20, or 20/1

It says that each time the number of hours x goes up by 1, the cost variable y goes up by 20.

Put simply: The hourly fee is $20 per hour.

This matches what it says in the instructions when your teacher wrote "A roofer charges $60 for the first hour and $20 per hour for each additional hour".

Answer: x =(3-√157)/2=-4.765

x =(3+√157)/2= 7.765

Step-by-step explanation:

The formula for an isosceles triangle is A = (1/2) * b * h, where b is the base, h is the height, and A is the area.

The formula for an isosceles triangle is A = (1/2) * b * h. This formula is used to calculate the area of an isosceles triangle. To use the formula, you need to know the base, b, and the height, h, of the triangle. The base is the length of any one of the two equal sides of the isosceles triangle, and the height is the distance from the base to the opposite vertex. Once you have these measurements, you can plug them into the formula to calculate the area of the triangle. The formula multiplies the base, b, by the height, h, and then divides the product by two. This will give you the area of the triangle, A.

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Answer:

30

Step-by-step explanation:

The sum of the angles in a triangle is always 180

n + 80 + 70 = 180

n + 150 = 180

n = 30º

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System of inequalities is basically a set of two or more inequalities in one or more than one variable. System of inequalities have multiple solutions & there is more than one constraints on the particular solutions. Here, are symbol used in inequalities .

→ > is the greater than symbol. The quantity to the left of the symbol is greater than the quantity to the right .

→ < is the less than symbol. The quantity to the left of the symbol is less than the quantity to the right .

→ ≥ is the greater than or equal to symbol. The quantity to the left of the symbol is either greater than the quantity to the right, or it is equal to the quantity to the right.

→ ≤ is the less than or equal to symbol. The quantity to the left of the symbol is either less than the quantity to the right, or it is equal to the quantity to the right.

→ ≠ is the not equal to symbol. The quantity to the left of the symbol is not equal to the quantity to the right

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

the square root of 10 is 3.16227766017 which would be closer to 9

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

Yes , she will be able to buy the PlayStation before Marko as she only needs 5 weeks to collect the remaining amount of money.

Cost of PlayStation given = 700 dollars

Amount of money which Rosaline has = 200 dollars

Now, if she has 200 dollars and deposits 100 dollar every week , this means she will be able to collect 700 dollars in 5 weeks of time.

100 dollar = 1 week

therefore, this relation means that  500 dollars = 5  weeks

Hence , she will be able to buy the PlayStation in about 5 weeks from the time she starts collecting the money.

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Answer:

(2,-1)

Step-by-step explanation:

Rewrite in vertex form

y = -1/4(x-2)^2-1

Answer:

70 TIMES 10 IS (700), THATS YOUR ANSWER!

Step-by-step explanation:

Answer:

9 newspapers and 5 magazines

18 newspapers and 10 magazines

27 newspapers and 15 magazines

36 newspapers and 20 magazines

45 newspapers and 25 magazines

54 newspapers and 30 magazines

63 newspapers and 35 magazines

72 newspapers and 40 magazines

81 newspapers and 45 magazines

90 newspapers and 50 magazines

Step-by-step explanation:

You basically just have to follow this formula

9x newspapers and 5x magazines

x can equal literally any positive integer you want!

just make sure you multiply the 9 and the 5 by the same numebr to keep the ratio the same!

(a) He made $382.05. This was the amount of money he made from the stock.

(b) The investment yielded a 96.40% return.

How can I find out how much I made and what my investment returned?

The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.

Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

The amount he made with the stock is indicated below taking into account the values of the problem:

778.38 - 396.33 = $382.05.

The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:

382.05/396.33 x 100% = 96.40%.

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Answer:

105

Step-by-step explanation:

Supplementary angles are two angles that add up 180 degrees.

if one is 75, then the other would be 105

hope this helps :)

(i made a mistake so i edited it, thanks for the reminder in the comments)

Answer:

105 degrees

Step-by-step explanation:

Supplementary Angles are angles whose measurements equal 180 degrees

To find the supplement subtract this known measurement angle A

180 - 75 = 105 degrees

Answer:

39.25 cm

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

 =[tex]\pi 5^{2}[/tex]

 =78.5

[tex]\frac{78.5}{2}[/tex] = 39.25

Answer:

0

Step-by-step explanation:

The answer is 0 because 1/3 cancel out the negative 1/3

Answer:

-5.026

Step-by-step explanation:

-9.23 + 4.204

= -5.026