The corrected equation is 11 = x2 - x - 1.
What is equation?An equation is a mathematical expression that states the equality of two things by showing the relationship between them. Equations are used to solve a variety of problems in science, engineering, and economics. In mathematics, an equation typically consists of an equal sign and two or more terms that are related by operations such as addition, subtraction, multiplication, and division.
The mistake in the equation is that the 12x should be multiplied by 3, not added, so the corrected equation is:
3(12x) = x 8(x - 1)
3(12x) = 8x(x - 1)
36x = 8x2 - 8x
28x = 8x2 - 8
-8x = 8x2 - 8
0 = 8x2 - 8x - 8
0 = 8x (x - 1) - 8
0 = 8 (x2 - x - 1)
11 = x2 - x - 1
The corrected equation is 11 = x2 - x - 1.
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5m3 + 3m² – 2m
5m3 + 3m? – 2m
8m3 - 4m2 + 3m
What is the perimeter of the triangle?
Help ASAP!!!!!
The perimeter of the triangle is given by an expression 18m³ + 2m² - m
Consider the following diagram.
In this question we have been given a triangle.
The sides of the triangles are represented by a mathematical expressions
(5m³ + 3m² - 2m), (8m³ - 4m² + 3m) and (5m³ + 3m² - 2m)
From given expression we can observe that, there are two sides with expression 5m³ + 3m² - 2m.
This means, the triangle must be an isosceles triangle.
We know that the formula for the perimeter of isosceles triangle.
P = 2a + b
where, a = side and b = base of isosceles triangle
Using above formula the perimeter of given triangle would be,
P = 2(5m³ + 3m² - 2m) + (8m³ - 4m² + 3m)
P = (10m³ + 6m² - 4m) + (8m³ - 4m² + 3m)
P = (10 + 8)m³ + (6 - 4)m² + (-4 + 3)m .....(combine like terms)
P = 18m³ + 2m² - m
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The cost of 5 sixty minute cassette tapes and 9 ninety minute tapes is $71.40. The cost of 8 sixty minute tapes and 7 ninety minute tapes is $74.65. Find the cost of each type of tape.
The cost of a sixty minute tape is $11.40 and the cost of a ninety minute tape is $1.60.
What is the step by step explanation?This is a system of equations problem. We can start by setting up the equations using the information given. Let x be the cost of a sixty minute tape and y be the cost of a ninety minute tape.From the first piece of information:5 x + 9 y = 71.40From the second piece of information:8 x + 7 y = 74.65To solve for x and y, we can use the method of substitution, where we solve one equation for one variable and substitute that expression into the other equation.5 x + 9 y = 71.408 x + 7 y = 74.65Solve the first equation for x:x = (71.40 - 9 y)/5Substitute this expression into the second equation:8((71.40 - 9 y)/5) + 7 y = 74.65Solving for y:y = $1.60Now we can substitute this value of y into the first equation to find the value of x:5 x + 9(1.60) = 71.405 x = 71.40 - 14.405 x = 57x = $11.40So, the cost of a sixty minute tape is $11.40 and the cost of a ninety minute tape is $1.60.To learn more about systems of equation refer:
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Write a function rule for the given situation. Do not use spaces in your answers and use x and y as your variables.
(help me out pls )
The situation can be modeled with the linear function:
f(x) = $30*x + $100
Evaluating that, we can see that after two years you will pay $820.
How to write a function rule for the situation?Here we know that you buy a gym membership for $100 plus $30 per month.
So, the cost after x months can be modeled by the linear function:
f(x) = $30*x + $100
Where x is the number of months and f(x) is the amount of money that you pay after x months.
We want to find how much you will pay after 2 years, there are 24 months in two years, then we will get:
f(24) = $30*24 + $100 = $820
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Explain whether there is enough information given in the figure to prove that the triangles are congruent using SSS or SAS
The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle,
prove that the triangles are congruent using SSS or SAS?
If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.SAS stands for “side, angle, side” and means that we have two triangles where we know two sides and the included angle are equal.
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.
Is horizontal positive or negative?
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Now, According to the question:
Is a negative slope horizontal or vertical?
Negative slope means that as we move from left to right on the graph, the line falls. Zero slope means that the line is horizontal: it neither rises nor falls as we move from left to right. Vertical lines are said to have "undefined slope," as their slope appears to be some infinitely large, undefined value.
Hence, The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
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A statistic is a measure that describes a population characteristic.
- False. A statistic is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions.
- False. A statistic is a measure that describes a sample characteristic.
-True
Statistics, or what we say to as ‘Stats’ in general parlance, is fully a useful branch of mathematics that can help in analyzing and solving mass everyday problems.
It has a broad range of applications in various fields, right from medicine, and engineering, to sports, etc. So, let us know more about it.
The benefits of statistics include collecting data in the form of numerical figures, analyzing and interpreting the data, grouping and presenting the data, and arriving at novel information organized from the data.
in the branch of mathematics, statistics is a very main idea to learn.
Population mention to a group of people or objects as a whole, while a sample is a subset of the whole. By examine samples of a population, you can learn more about that population.
A branch of statistics also deals with analyzing certain outline in a macroscopic way where we work with a given population and a sample.
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Jordan's pet grooming business has a monthly cost function of C = $15p + $1520. His Revenue is given by the function R = $55p, where C is the total cost per month, R is the total revenue he receives each month and p is the number of pets he grooms in a month. How many pets must he groom each month to break even?
For Jordan's pet grooming business to break even, he must groom 38 pets each month.
What is the break-even point?The break-even point describes a sales situation where the total costs equal the total revenue.
At the break-even point, there is no profit or loss.
Cost function: C = $15p + $1520
Revenue function: R = $55p
The total cost per month = C
The total revenue each month = R
The number of pets Jordan grooms monthly = p
To break even, C must be equal to R:
$15p + $1520 = $55p
15p + 1520 = 55p
-40p = 1,520
p = 38
Check:
Total costs = $15p + $1520
= $15(38) + $1520
= $570 + $1520
= $2,090
Total revenue = $55p
= $55(38)
= $2,090
Thus, grooming 38 pets each month, the total costs and revenue are equal to $2,090, respectively.
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solve each equation
20x-3/15=8
Answer:
20x-3/15=8
We move all terms to the left:
20x-3/15-(8)=0
determiningTheFunctionDomain
20x-8-3/15=0
We multiply all the terms by the denominator
20x*15-3-8*15=0
We add all the numbers together, and all the variables
20x*15-123=0
Wy multiply elements
300x-123=0
We move all terms containing x to the left, all other terms to the right
300x=123
x=123/300
x=41/100
Answer:
x = 0.41
Step-by-step explanation:
20x-3/15=8
20x - 1/5 = 8
20x - 1/5 = 40/5
20x = 41/5
20x = 8.2
x = 0.41
A cement truck pours cement into a container in the shape of a
cylinder with a radius of 4 feet. The height, h, of the cement in the
container increases at a rate of approximately 10 inches per
minute. Write an equation that models the volume, V, of the
cement in the container in terms of h, then use the equation to
determine the time at which the volume is 8070 cubic feet.
Note that the volume of a cylinder is V = arah, where r and h
are the radius and height of the cylinder. (4 points)
An equation that models the volume, V, of the cement in the container in terms of h is V = π[tex]r^2[/tex]h. The time at which the volume is 80π cubic feet is 6 minutes.
In the given question, we have to write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet.
The given radius r = 4 feet
Rate of filling the cylinder = 10 inches/minutes
Firstly we convert inches into feet.
As we know that;
1 inches = 1/12 feet. So
Rate of filling the cylinder = 10/12 feet/minutes
Rate of filling the cylinder = 5/6 feet/minutes
Height (h) in time 't' minutes = h = 5/6 t
Volume after t minutes
V = π[tex]r^2[/tex]h
Now putting the values
V = [tex]\pi\times(4)^2\times\frac{5}{6}t[/tex]
V = [tex]\pi\times16\times\frac{5}{6}t[/tex]
V = [tex]\frac{40\pi}{3}t[/tex]
As given that volume is 80π cubic feet.
Now, V = 80π
80π = [tex]\frac{40\pi}{3}t[/tex]
Multiply by 3 on both side, we get
240π = 40πt
Divide by 40π on both side, we get
t = 240π/40π
t = 6 minutes
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by what factor is the taller tower taller by? (enter 1 if approximately equally tall.) include in the height any structures on top of the towers themselves.
The two towers sum up to one at a 90-degree angle because they are both tall.
A cathedral with two main towers—a stone tower on its southern side and a copper (blue-green)-capped tower on its northern side—is depicted in the Maps image provided as the answer to the question.
Viewing both the north and south tower photos.
Because both towers are tall, they add up to one at a 90-degree angle.
The sine, cosine, and tangent functions are the three trigonometric ratios with which people are most familiar. Consider a right-angled triangle with the angle of interest and the triangle's sides to define the cosine function of an acute angle.
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question 1 a clinic surveys a group of male and female patients about their experience with physical therapy. the survey does not include people with disabilities. is the survey data biased?
Yes, the survey data is biased.
The survey data is biased because the sample group lacks inclusivity.
Bias is a statistical word that means a systematic deviation from the actual value. It is a sampling method that may show some serious problems for the researcher as a less increase cannot reduce in sample size.
In a biased sample, one or more parts of the population are favored over others, whereas in an unbiased sample, each member of the population has an equal chance of being selected. We also saw that a representative sample is a subset of the population that reflects the characteristics of the larger group.
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Which math statement compares the decimal numbers 0.34 and 0.8 correctly?
Answer:
0.34 < 0.8
Step-by-step explanation:
On compares the decimal numbers 0.34 and 0.8 the correct math statement is 0.34 < 0.8.
To compare the decimal numbers 0.34 and 0.8 correctly, we need to determine which one is greater or if they are equal. One way to do this is by aligning the decimals and comparing the digits from left to right.
0.34 and 0.8 have a different number of decimal places. To make the comparison easier, we can add a trailing zero to 0.34:
0.34 ( or 0.340 ) and 0.8
Now, we can compare them:
0.340 < 0.8
So, the correct math statement is: 0.34 < 0.8.
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Find the intercept on the x and y axes 3y=2/3x+4
Answer: The x-intercept is when y is equal to 0, so we can find it by setting y to 0 and solving for x:
0 = 2/3x + 4
3x = -4
x = -4/3
So the x-intercept is (-4/3, 0)
The y-intercept is when x is equal to 0, so we can find it by setting x to 0 and solving for y:
3y = 2/3 * 0 + 4
3y = 4
y = 4/3
So the y-intercept is (0, 4/3)
Step-by-step explanation:
Help? Please I don’t understand it
For the graphs you use the the method of
Rise(Up) / Run(Down) = Slope
for exmaple the first graph
The rise is 4 (up) and the run (down) is 6 so you divide that being 2/3 the slope.
For the secound part you use the formula
m= rise/run = y2-y1/x2-x1
for exmaple for number 7
(4,9) and (1,6) being (x1, y1) and (x2,y2)
so your rise is 3 and your run is 3 that being 3/3 = 1 so your slope is 1 or m=1
What is the range of the function shown in the graph below?
Based on the graph, it looks like the only y-value not used by the graph is –6.
So, the range would be (-infty, -6) U (-6, infty).
A garment shop announces a flat 50% discount on every purchase of items for their customers. Draw that graph for the relation between the market price and the discount.
Hence find (1) the marked price when a customer gets a discount of Rs3250(from graph)
(2)the discount when the market price is rs2500
The marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The relation between the market price and the discount is
y=0.5x
Which is the required relationship between the Marked Price and the Discount.
We have to find the marked price when a customer gets a discount of 3250
As discount is 3250
In the graph is represent the point F ( 3250, 0)
If we draw a line parallel to Y axis and passing through the point F( 3250, 0) then it intersects the line y = 2x at B( 3250 , 6500)
Accordingly we get the point A ( 3250, 6500)
Hence the Marked Price = 6500
Manually it can be checked
As discount is 3250
x = 3250
So y = 2 × 3250 = 6500
(2) We have to find the discount when the marked price is 2500
As marked price is 2500
In graph it represent the point C( 0, 2500)
If we draw a line parallel to X axis and passing through the point C( 0, 2500) then it intersects the line y = 2x at B( 1250 , 2500)
Accordingly we get the point B( 1250 , 2500)
Hence the discount = 1250
Manually it can be checked
As marked price is 2500
y = 2500
So x = 2500 ÷ 2 = 1250
Hence, the marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500
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4
If f(x)=x-4 and g(x) = -2x² + 3, which polynomial is equivalent to g(f(x))?
A -2x² + 16x - 29
C-2x² - 1
B -2x²-16x +35
D -2x³ +8x² + 3x - 12
Answer: A. -2x² + 16x -29
Step-by-step explanation:
f(x) = x-4
g(x) = -2x² + 3
g(f(x)) = -2( x² + 16 -8x) + 3
= -2x² - 32 + 16x + 3
= -2x² + 16x -29
melanie is driving on a long road trip. She currently has 10 gallons of gas in her car. each hour that she drives, her car uses up 1.5 gallons of gas. How much gas would be in the tank after driving for 6 hours? how much would be left after t hours
Answer:
1 gallon
Step-by-step explanation:
using 1.5 gallons per hour for 6 hours equals their product, which is 9
so if there was originally 10 gallons, after driving 6 hours, there would be 1 gallon remaining
Please answer fast I will mark brainliest
Answer: bro what question is it
What is the constant of proportionality in the equation y=7xy=7xy, equals, 7, x?.
The constant of proportionality is the number that is multiplied by the variable in the equation. In the equation y=7x, the constant of proportionality is 7.
Step 1: Identify the equation: y=7x
Step 2: Determine what the constant of proportionality is: The constant of proportionality is 7.
Step 3: Calculate the value of the constant of proportionality: The constant of proportionality is 7.
The constant of proportionality is a number that is multiplied by the variable in an equation. For example, in the equation y=7x, the constant of proportionality is 7. This means that for every unit increase in x, y will increase by 7. To calculate the constant of proportionality, simply identify the equation and determine what number is multiplied by the variable. In this case, the number is 7. Consequently, 7 is the constant of proportionality. The constant of proportionality is an important concept in mathematics and is used to calculate the relationship between variables in equations. Knowing the constant of proportionality can help make equations easier to solve and understand.
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HEEEEEEELLLLLPPP!!!!!!!
Answer: 3rd and 4th
Step-by-step explanation:
The inequality sign is reversed when both sides are multiplied by a negative number, so the third and fourth ones symbols will be reversed.
X and Y are independent random variables, and a and b are constants. Which one of the following statements is true?
X and Y are independent random variables, and a and b are constants is
Var(X-Y) = Var(X) + Var(Y)
Now, According to the question:
Let's Know:
Independent random variable:
Two random variables X and Y are independent if
E(XY) = E(X)E(Y).In case of n random variables the formula is extended as
[tex]E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)[/tex]
Are the random variables X and Y independent?
If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.
Hence, X and Y are independent random variables, and a and b are constants is
Var(X-Y) = Var(X) + Var(Y).
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what are the positive and negative effects that technology has on an economy?
The positive and negative effects that technology has on an economy is that it increases productivity and leads to impact on income distribution through making difficult for workers to employed respectively.
What is Technology?This is referred to as the application of scientific knowledge for practical purposes and it helps to make work easier and faster thereby resulting in an increase in the productivity of various sectors in the economy.
The disadvantage is that it makes it difficult for workers to be employed because work which can be done and paid for are now done using various types of machines thereby leading to a decrease in income distribution in the economy.
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FIND THE SLOPE BETWEEN THE FOLLOWING POINTS!!!
15 POINTS
The slope between the points (-6, 6) and (-6, -1) is -infinity.
How to find the slope of a line?The slope of a line is the change in the dependent variable with respect with the change in the independent variable.
Therefore, the slope is define as rise over run.
Hence let's find the slope between the points (-6, 6) and (-6, -1)
Therefore,
slope = y₂ - y₁ / x₂ - x₁
x₁ = -6
x₂ = -6
y₁ = 6
y₂ = -1
Therefore,
slope = -1 - 6 / -6 + 6
slope = -7 / 0
slope = - infinity
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A recipe to make green paint calls for 4 cups yellow and 5 cups blue paint. If I used 100 cups of blue paint, how much yellow paint would I need ?
Answer:
Step-by-step explanation: 500
What is the formula of factoring?
Answer:
N = X^a × Y^b × Z^c
Step-by-step explanation:
A researcher was once criticized for falsifying data. Among his data were figures obtained from 6 groups of
subjects, with 5 individual subjects in each group. These values were given for the percentage of successes in
each group: 53%, 58%, 63%, 46%, 48%, 67%. What's wrong with those values?
Choose the correct answer below.
ICODI
A. All percentages of success should be multiples of 5. The given percentages cannot be correct.
B. All percentages of success should be multiples of 10. The given percentages cannot be correct.
C. All percentages of success should be multiples of 6. The given percentages cannot be correct.
D. All percentages of success should be multiples of 20. The given percentages cannot be correct.
Answer: D
Step-by-step explanation: Because its Deeeeee
What are the coordinates of the midpoint of the line segment joining the point A (4,-2) and B (10,-6)?
Answer: (7, -4)
Step-by-step explanation: To find the midpoint of a line segment, We take the average of the X-coordinates and the Y-coordinates of the two endpoints.
Given points A(4,-2) and B(10,-6), the midpoint can be found using the following steps.
1. Take the average of the X-coordinates: (4+10)/2=7.
2 Take the average of the Y-coordinates: (-2 + -6)/2=-4.
So the midpoint of the line segment joining A and B is (7,-4).
Write y=|x-6|+3 as a piece wise function
Answer:
i wish i could help but i never learned that
Step-by-step explanation:
Geomatry: Sin Cos and Tan: Find the value of X. (pls)
Answer:
16 degrees, I believe
Step-by-step explanation:
You would use an inverse sine, if I'm not mistaken. You have the O (opposite) and the H (hypotenuse). With that you can do SOH - or sine. But since you want the angle, you do an inverse. So you do the inverse sine of O over H, or the inverse sine of 5/18. It gives you 16.128 degrees or so.