What equation do you use to find average speed?
PLEASE HELP! What is the equation of this line? y = 2x y=−12x y=12x y=−2x Graph of a line passing through the origin and the point begin ordered pair 2 comma 4 end ordered pair
we know that
The line passing through the origin [tex](0,0)[/tex] and the point [tex](2,4)[/tex]
If the equation of the line passes through the origin
then
the equation of the line represent a direct variation
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
The constant k is equal to the slope m
with the point [tex](2,4)[/tex] find the constant of proportionality k
[tex]y/x=k[/tex]
substitute
[tex]4/2=k[/tex]
[tex]k=2[/tex]
The linear equation is equal to
[tex]y=2x[/tex]
therefore
the answer is
[tex]y=2x[/tex]
The required equation of the line passing through the origin and point (2, 4) is y = 2x.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at
x = 0.
Given, a line passes through origin (0, 0) and point (2, 4).
So slope is = (y₂ - y₁)/(x₂ - x₁) = (4 - 0)/(2 - 0) = 2.
Let the required equation of the line be y = mx + b.
∴ 4 = 2×2 + b.
b = 0.
So, the equation is y = 2x + 0 ⇒ y = 2x.
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Mr. johnson earns $100,000 per year. each year he spends $70,000 and saves $30,000. he pays a 5 percent sales tax on all of his spending. assuming this is the only tax he pays, his average tax rate out of his income is
Average tax rate out of Mr. Johnsons earning is equals to $3500.
What is tax rate?
" Tax rate is the process of finding the percentage of amount of earnings to be taxed."
According to the question,
Given,
Total money earned by Mr. Johnson per year = $100,000
Every year amount he spend = $70,000
Every year amount he saved = $30,000
Percentage of sales tax on his spending paid by Mr. Johnson = 5%
Average tax rate = 70,000 × ( 5 / 100)
= $3,500
Hence, average tax rate out of Mr. Johnsons earning is equals to $3500.
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ana made 12 rainbow loom bracelets in 3 hours. how many can she make in 15 hours
Which function is a quadratic function
Answer:
[tex]p(x)=-5x-x^2[/tex]
C is correct
Step-by-step explanation:
Quadratic function: A polynomial whose degree is 2 called quadratic function.
Degree = It is highest power of the polynomial.
We have to check the degree of each option.
Option 1: [tex]c(x)=6x+3x^3[/tex]
Degree = 3
Option 2: [tex]d(x)=x-8x^4[/tex]
Degree = 4
Option 3: [tex]p(x)=-5x-x^2[/tex]
Degree = 2
Option 4: [tex]k(x)=2x^2+9x^4[/tex]
Hence, [tex]p(x)=-5x-x^2[/tex] has degree 2. It would be quadratic function.
Simplify 7a+(-10)-2a+1
What is the length of BC¯¯¯¯¯
How do you rewrite y+4=-2(x-1) in slope-intercept form
A copy machine makes 44 copies per minute. how long does it take to make 154 copies?
Final answer:
It takes 3.5 minutes for a copy machine to make 154 copies at a rate of 44 copies per minute.
Explanation:
To find out how long it takes for a copy machine to make 154 copies at a rate of 44 copies per minute, we need to perform a division calculation. First, we divide the total number of copies needed (154 copies) by the rate at which the machine produces copies, which is 44 copies per minute.
The calculation is as follows:
154 copies ÷ 44 copies per minute = 3.5 minutes.
This means it would take the copy machine 3.5 minutes to produce 154 copies.
The measure of a and the measure of b are complementary. the measure of a is 8 times the measure of
b. find the measurement of each angle.
How do you solve 1650÷55
Explain how to compare 0.7 and 5/8.
hello i was trying to get the understanding on how is 4-6+6=4,,,,,,,my answer (4-6=2+6=8) but me being in high school i know its not that easy.... So someone please break it down please???
A quantitative variable that has a finite or countable number of values is called
A quantitative variable with a countable number of values is known as a discrete variable, which includes whole number counts such as the number of yellow M&Ms or total M&Ms in a sample
A quantitative variable that has a finite or countable number of values is called a discrete variable. Quantitative discrete data such as the number of phone calls received each day can only take certain numerical values, which are typically integers like zero, one, two, or three. This is different from continuous data, which can take any value within a certain range, like weight or percentage values that can include fractions and decimals.
For example, in the case of counting M&Ms, the number of yellow M&Ms and the total number of M&Ms would be discrete data because they can only be whole numbers. In contrast, the weight of the M&Ms in ounces and the percentage that are red are examples of continuous data because these can take on any value, including fractions, within the range.
The distinction between discrete and continuous data is important for selecting appropriate statistical methods for analysis, as certain methods are more suitable for discrete data, while others are better for continuous data
There are 5 participants in a potato sack race. find the number of orders in which the participants can finish
5 x 4 x 3 x 2 x 1 = 120
120 different ways
Write each expression in radical form
a. (10n)3/2
b. a6/5
3/2 and 6/5 are all exponents
the store employee works 35 hours per week,which inequality can be used to find the dollar value x, of weekly sales that the employee must make to earn more than $400 per week
Answer:
35x>400 can be used to find the value of x
Step-by-step explanation:
Here, we have given the information employee works for 35 hours a week
Let, x be the number of hours employee can work
Here it will become 35 x since, he is working for 35 hours
Employee is earning more than $400 per week
The inequality is formed from the given information as below:
35x>400
x>80/7
Therefore, 35x>400 can be used to find the value of x which is giving value of x>80/7
-10x+5y=0 -4x-6y=54 find the solution of this system of equations
How many factors does the algebraic expression 5xy have?
The algebraic expression 5xy has three factors: the number 5 and the variables x and y. Factors are the multiplicative components of an expression, and factoring involves breaking down expressions into these components.
The algebraic expression 5xy has three factors: the number 5, the variable x, and the variable y. A factor is a number, variable, or a product/quotient of numbers and/or variables separated by + or - signs.
When we are factoring, we are essentially reversing the distributive law and turning the expression into its multiple components, which can also be termed as factors or multiples. For instance, expressions like 5px, 5py, or similar expressions are all made up of factors that, when multiplied together, produce the value of the expression.
When addressing expressions that can be factored, such as ax² +2hxy+by² = 0, we look for expressions that, when evaluated, produce the same value. In this particular example, it can be factored into two linear factors and represents two straight lines intersecting at the origin.
Answer:
The algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
Explanation:
The algebraic expression [tex]\(5xy\)[/tex] can be factored as [tex]\(5 \times x \times y\)[/tex]. To find the number of factors, we count all the unique combinations of its prime factors:
- For the factor [tex]\(5\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(5\) or \(1\).[/tex]
- For the factor [tex]\(x\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(x\) or \(1\).[/tex]
- For the factor [tex]\(y\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(y\) or \(1\).[/tex]
Therefore, the total number of factors is the product of the options for each factor, which is [tex]\(2 \times 2 \times 2 = 8\)[/tex]. So, the algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute.
At what time will Malory's steps catch up to Dori's steps?
what is the light from a lazer pointer a point, line, line segment, ray or plane?
What is the value of x?
A. 68°
B. 62°
C. 112°
D. 124
A total of 308 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was three times the number of adult tickets sold. how many adult tickets were sold?
Follow below steps;
The student is asking how many adult tickets were sold for a school play if a total of 308 tickets were sold and the number of student tickets sold was three times the number of adult tickets sold. To solve this problem, we will use algebra to set up an equation.
Let's define x as the number of adult tickets sold. Since the number of student tickets is three times that amount, we can say that 3x represents the number of student tickets sold. The total number of tickets sold is the sum of adult and student tickets, which is given by the equation x + 3x = 308.
To find the value of x, we combine like terms:
x + 3x = 4x4x = 308x = 308 \/ 4x = 77Therefore, the number of adult tickets sold was 77.
Shyam invested money in the stock market
Is the function g(x)= - 6x– 5 6 linear or nonlinear?
14+3x−7=7x+7−4x14+3x-7=7x+7-4x is always, sometimes or never true.
What is 6.666666667 as a improper fraction?
To convert 6.666666667 into an improper fraction, identify the whole number part and the repeating decimal part, which correspond to 18/3 and 2/3 respectively. Adding these together results in the improper fraction 20/3.
The questions asks how to express the decimal number 6.666666667 as an improper fraction. To convert a decimal to a fraction, we can identify the repeating part of the decimal, which in this case is '666...'. We know that repeating '6' corresponds to '2/3' in fraction form. To write it as an improper fraction, we first write the non-repeating part which is '6' as '6/1'. Then we add the repeating fraction '2/3' to it after converting '6/1' to have a common denominator of '3' which becomes '18/3'. Adding these gives us '20/3' which is the desired improper fraction.
To put this process into steps:
Identify 6 as the whole number part, which is equivalent to 6/1 or 18/3.Recognize that the repeating decimal .666... is equivalent to 2/3.Add 18/3 and 2/3 to get 20/3, which is the improper fraction form of 6.666666667.
13(21−3a)=6−a
no solution
−1
0
all real numbers
Answer:
No solution hope this helps:)
Step-by-step explanation:
What is the amount of space between two points on a line. It is always expressed as a nonnegative number
The amount of space between two points on a line is a distance.
What is a line segment?In Mathematics and Geometry, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.
In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
[tex]Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
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Write this number using digits: four million, ninety-eight thousand, seven hundred sixty-two