On solving the provided question, we can say that quadratic equation = x^2 - 3x - 4 ; factors = x-1 and x-5
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
quadratic equation = x^2 - 3x - 4
factors = x-1 and x-5
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Olivia is a stockbroker. She makes 4% of her sales in commission. Last week,she sold $7,200 worth of stocks. How much commission did she make last week?
Commission (Related to business mathematics) made by selling $7200 worth of stock is $288.
What is business mathematics ?
Business Math always deals with profit or loss. The cost of a product is fixed by taking into consideration it’s profit, margin, cash discount, trade discount, etc. Business mathematics is used by commercial companies to record and manage business works. Commercial businesses use math in departments of accounting, inventory management, marketing, sales forecasting and financial analysis.
The most important topics covered in Business Mathematics are:
Profit and LossStatisticsSimple and Compound InterestInterest RatesLoansMarkups and markdownsTaxes and Tax LawsDiscount FactorAnnuitiesInsuranceCreditDepreciationFuture and Present ValuesFinancial StatementsNow,
Sales made= $7200
Commission=4%
Commission earned= 7200*4/100
=72*4
Commission earned = $288
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You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 75% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
The amount of money you have left is 1.75 dollars.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
To determine the total number of quarters you have after finding more in your room, you can use the following expression:
20 + (40/100) × 20 = 20 + 8 = 28 quarters
To find the total number of quarters you take with you shopping, you can use the following expression:
28 - (75/100) × 28 = 28 - 21 = 7 quarters
In dollars, the amount you have left is 7 × 0.25 = $1.75
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A repayment schedule shows the distribution of interest and other charges over the life of a loan. It usually does not show the principal. Group of answer choices True False
The statement regarding the repayment schedule is false.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement regarding the repayment schedule.
The given statement is -
A repayment schedule shows the distribution of interest and other charges over the life of a loan. It usually does not show the principal. The given statement is false.
Therefore, the statement regarding the repayment schedule is false.
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Emily is preparing a presentation about ways to prevent heart disease for her health class. Which part of her presentation would be best suited to a video?
the explanation of how heart disease progresses over time in part of her presentation would be best suited to a video.
What is heart disease?Several different heart disorders are referred to as "heart disease." Coronary artery disease (CAD), which affects the blood flow to the heart, is the most typical kind of heart disease in the United States. A heart attack may result from reduced blood flow.
here,
Chest pain or discomfort, pain in the upper back or neck, heartburn, nausea, vomiting, extreme exhaustion, pain in the upper body, dizziness, and shortness of breath are all symptoms of a heart attack.
Heart palpitations are caused by an arrhythmia (palpitations). Heart failure symptoms include shortness of breath, exhaustion, or swelling of the legs, abdomen, or neck veins.
The three main risk factors for heart disease are excessive blood pressure, high cholesterol, and smoking. Nearly half of Americans (47%) have at least one of these three risks.
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there were 10000 people in the town in 2007. each year the population declines by 4%. what will the population be at 2017
The population of the town at 2017 will be 5598 people.
The population of the town declines by 4% each year, meaning that the population decreases by 0.04 times the current population each year.
In order to find the population in 2017, we need to calculate the population for each year from 2007 to 2017 and multiply by (1-0.04)
The population for 2017 is:
10000*(1-0.04)^10 = 5597.6, which can be approximated to be either 5597 or 5598.
It is important to note that this calculation is based on the assumption that the population decline of 4% per year is a constant rate, if this rate changes it will affect the final population.
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If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of pizza, to the nearest tenth.
Answer:
25.1 square inches
Step-by-step explanation:
You want the area of a 1/8 slice of a 16-inch pizza.
AreaThe area of a circle is given by the formula ...
A = πr²
where r represents the radius of the circle, half the diameter.
For the 16-inch diameter pizza, the radius is 8 inches, so the area of the whole pizza is ...
A = π(8 in)² = 64π in²
SliceThe area of a slice will be 1/8 of this:
slice area = 1/8(64π in²) = 8π in² ≈ 25.133 in²
The area of a slice of the pizza is about 25.1 square inches.
What degree of an angle is made by the clock at 5 15?
Answer:67.5 degree
Step-by-step explanation:
So, the angle between hour hand and minute hand at 5:15. = 45/4 minute * 6 degree. = 67.5 degree.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The two figures shown above are congruent. Identify the corresponding sides and angles.
Answer:
Step-by-step explanation:
There are not a lotta steps here. U just gotta look at the diagram and find the similarities.
∠D = ∠G because they both have the pointy thing.(acute)
∠A = ∠R because they r both obtuse.
∠S = ∠B (we know that because we have done the previous two already so it makes sense if this were to happen)
∠P = ∠C (same thing)
Cheers! Also, pls mark as brainliest if possible.
Which of the following rational functions is graphed below?
A. F(x)=2/x
B. F(x)=1/x-2
C. F(x)=1/2x
D. F(x)=1/x+2
Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.
Which of the rational functions listed below is represented by a graph? Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.If a value's rational function is undefinable, a dotted line is put on the graph to represent that value.The term "vertical asymptote lines" refers to these lines.If a polynomial can be expressed as a polynomial divided by a polynomial, that function is deemed rational.A rational function's domain is the collection of all numbers except the zeros in the denominator since polynomials are defined everywhere.f(x) Equals x in Example 1. (x - 3).
The graph of the function.
From the given graph , the vertical asymptote is at x=2
Lets find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator =0
f(x) = 1/2x
2x = 0
x= 0
The second function has vertical asymptote at x=2
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What is the domain?
ху
1
1
32
5 3
73
22
O {1, 2, 3, 4, 5, 6, 7}
O {1,2,3,5,7)
O {1,3,5,7)
O {1,2,3}
the domain is the x intercept
{1,2,3,5,7}
Together, teammates Pedro and Ricky got 2683 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each player have?
The Pedro contains 1483 hits. and Ricky contains 1199 hits.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.
When two expressions in a variable (or variables) have the same value, the condition is said to be an equation. The equation's solution, or root, is the value of the variable for which the equation holds true. Even if the RHS and LHS are switched, an equation still holds true.
Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.
Pedro had 284 more hits than Ricky.
Let Ricky had 'x' hits.
So, Pedro had x + 284 hits
Together Pedro and Ricky got 2682 base hits.
This can be modeled as:
[tex]$$\begin{aligned}& x+x+284=2682 \\& 2 x+284=2682 \\& 2 x=2682-284=2398 \\& \text { So, } x=2398 / 2=1199\end{aligned}$$[/tex]
Therefore, Ricky contains 1199 hits.
Pedro has = 1199 + 284 = 1483 hits.
Therefore, the Pedro contains 1483 hits.
The complete question is;
Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?
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how to describe and correct 0.7% and 17/25
Both 0.7% and 17/25 are approximations and if you need more precision you can convert them to decimal form and or use more significant figures.
What is the decimal representation and fraction representation?
A decimal representation of a number is a way of expressing the number in terms of a decimal point and the powers of 10.
A fraction representation of a number is a way of expressing the number as the ratio of two integers, called the numerator and denominator. The numerator represents the number of parts of the whole, and the denominator represents the total number of parts in the whole.
0.7% is a decimal representation of a percentage. It means 0.7 parts per 100. It can also be written as 0.007 as a decimal.
17/25 is a fraction representation. It means 17 parts out of 25. It can also be written as 0.68 as a decimal.
Both 0.7% and 17/25 are approximations and if you need more precision you can convert them to decimal form and or use more significant figures.
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Factor the quadratic expression completely. -3x^2+17x-20=−3x 2 +17x−20=minus, 3, x, squared, plus, 17, x, minus, 20, equals
The quadratic equation -3x^2 + 17x - 20 can be factorized to get:
y = -3*(x - 4)*(x - 5/3)
How to factorize the quadratic equation?Here we want to factorize the quadratic equation:
-3x^2 + 17x - 20
If the two roots are x = h and x = k, then we can rewrite that quadratic as:
-3*(x - h)*(x - k)
So we need to find the two roots for the quadratic equation, using the quadratic formula we will get:
[tex]x = \frac{-17 \pm \sqrt{17^2 - 4*(-3)*(-20)} }{2*-3} \\\\x = \frac{-17 \pm 7 }{-6} \\\\[/tex]
Then the two roots are:
x = (-17 - 7)/-6 = -24/-6 = 4
x = (-17 + 7)/-6 = -10/-6 = 5/3
Then the quadratic equation can be written as:
y = -3*(x - 4)*(x - 5/3)
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Answer:
−(3x−5)(x−4)
Step-by-step explanation:
Correct on Khan
pleasee help what the area of pool b
The area of the pool B shown is 2x² + 12x + 10 square unit
What is an equation?An equation shows the relationship between numbers and variables in an expression.
The area of a rectangle is the amount of space that it occupies. It is given by:
Area = length * width
For pool B, the length is 2x + 2 and the width is x + 2, hence:
Area = length of pool * width of pool
Substituting:
Area (A) = (2x + 2)(x + 5)
A = 2x² + 12x + 10
The area is 2x² + 12x + 10 square unit
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I need help please!!!
On solving the provided question, we can say that this function f(x) = 2x - 4 => f(x) = 18 - 4 = 14
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
f(x) = 2x - 4
here, in this function f(x)
x = 9
so, f(9) = 2*9 - 4
f(x) = 18 - 4 = 14
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1/3 (12r + 6r - 21) write an expressoin
Answer:
9r-7
Step-by-step explanation:
Given expression,
[tex]\dfrac{1}{3}( 12r +6r -21)[/tex]
Distribute ,
[tex] \dfrac{1}{3}(12r) +\dfrac{1}{3}(6r)+\dfrac{1}{3}(-21)\\[/tex]
simplify,
[tex]7r + 2r -7 [/tex]
Add like terms,
[tex] 9r -7 [/tex]
And we are done!
- Rishabh
Answer: An expression for 1/3 (12r + 6r - 21) would be :
(1/3) * (12r + 6r - 21)
It is the product of 1/3 and the sum of 12r, 6r and -21
or
(4r - 7)
It is the same as above but simplified by combining like terms 12r + 6r = 18r and then dividing by 3.
Step-by-step explanation:
The image shows quadrilateral ABCD. Find the perimeter of ABCD. Explain or show your reasoning.
(The reasoning is really what I need. Thank you :))
Answer:12.64
Step-by-step explanation: Using the pythagorean therum, we can see that each side of ABCD is part of a triangle whose other legs are 4 and 1. This means that each side of ABCD squared is equal to 3 squared + 1 squared which means that each side squared is 10. So each side is equal to the square root of 10 which means each side is around 3.16. So the perimenter is around 3.16x4 = 12.64
Someone pls help with this onee pleaseee im desperate ill give you branilest
Answer:
1+6x
Step-by-step explanation:
Sum means addition and product means multiply
The only expression that has both is
1+ 6*x
1+6x
Answer:
2nd answer
Step-by-step explanation:
Before finding answer let us get to know about the meanings of words.
sum --> Addition
product --> Multiplication
Accordingly, we have to find the answer with addition & multiplication.
So, the only answer with these two characteristics is 2nd answer.
That is,
1 + 6x
Here, there is a sum between 1 and 6.
And there is a product between 6 and x.
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(0) = 2 C. g(7) = -1 D. g(-4) = -11
Since function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, the statement that could be true for g is: A. g(-13) = 20.
How to determine the true statement for function g?Based on the information provided in this scenario, the domain and range of this function g(x) in interval notation are as follows:
Domain = -20 ≤ x ≤ 5 or [-20, 5]
Range = -5 ≤ g(x) ≤ 45 or [-5, 45]
Function g(0) = 2 is simply a false statement because it was explicitly stated that g(0) = -2. Additionally, g(-4) = -11 is a false statement because it is outside the scope of the given range for this function.
Furthermore, the function g(7) = -1 is a false statement because it is not within the domain for the given function. However, we can logically deduce that the function g(-13) = 20 is a true statement because it is within the domain for the given function and it would produce an output that is within the scope of the given range for this function.
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x^2- 3(x - y), for x = 8 and y = 2
Can a system of linear equations have zero solutions?
f a₁/a₂ = b₁/b₂ = c₁/c₂ this system of linear equations have zero solutions.
Multiple equations in algebra are known as simultaneous equations or systems of equations, and they must be solved simultaneously (i.e., the answer must satisfy every equation in the system). For a system to have a singular solution, the number of equations and unknowns must be equal.
Systems of equations are used to solve problems when there are multiple unknowns and enough data to construct equations in those unknowns. In general, when there are n unknowns, we need enough knowledge to create an equation for each unknown.
We are aware that the equations,
a₁x + b₁y = c₁
a₂x + b₂y = c₂
if the equation a1/a2 = b1/b2 = c1/c2 is unsolvable.
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2=2/3x what is the value of x
or Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Olivia owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 3 small tiers and 2 large tiers, which will serve a total of 144 guests. The second one includes 3 small tiers and 1 large tier, which is enough servings for 102 guests. How many guests does each size of tier serve?
Answer:
small tier serves 20; large tier serve 42
Step-by-step explanation:
s = # guests a small tier serves
l = # guests a large tier serves
1) 3s + 2l = 144
2) 3s + 1 = 102 subtract equation (2) from equation (1)
0 + l = 42
l = 42 plug this into equation (2) to solve for s
3s + 42 = 102
3s = 60
s = 20
The number of people served by the small tier is 20.
The number of people served by the large tier is 42.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
Small tier = S
Large tier = L
The first cake consists of 3 small tiers and 2 large tiers, which will serve a total of 144 guests.
This means,
3S + 2L = 144 ____(1)
The second one includes 3 small tiers and 1 large tier, which is enough servings for 102 guests.
This means,
3S + 1L = 102 _____(2)
Solve (1) and (2)
Using the elimination method.
3S + 2L = 144
3S + L = 102
(-) (-) (-)
L = 144 - 102
L = 42
Now,
L = 42 in (1)
3S + 2L = 144
3S + 2 x 42 = 144
3S + 84 = 144
3S = 144 - 84
3S = 60
S = 20
Thus,
The small tier serves 20 people.
The large tier serves 42 people.
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The volume of a right cone is 8647 units³. If its circumference measures 187 units,
find its height.
Answer:
9.323 units
Step-by-step explanation:
radius = 29.76
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Work for 3,565 X 232. It’s 827,080
Answer:
827080
Step-by-step explanation:
caculator
Answer:
Answer in image
Step-by-step explanation:
Follow steps in image
-Hope this helped
What is the quotient of 45 and 3?
Answer: 15
Step-by-step explanation:
Quotient- the result of the division equation.
45/3=15
Batches of Cookies in a Table
In previous lessons, we worked with a diagram and a double number line that represented this cookie recipe. Here is a table that represents the same situation.
flour (cups) vanilla (teaspoons)
5. 2
15. 6
212. 1
? ?
1. Write a sentence that describes a ratio shown in the table.
2.What does the second row of numbers represent?
3.complete the last row for a different batch size that hasn’t been used so far in the table explain reasoning.
Representing Ratios that describes a ratio in the table
What is Representing Ratios?The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)A ratio can be represented in the form of a fraction using the ratio formula. The ratio formula for any two quantities say a and b is given as, a:b = a/b. Since a and b are individual amounts for two quantities, the total quantity combined is given as (a + b).To learn more about Representing Ratios refers to:
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Ted and Truman held a contest to see who could collect more free baseball caps. Ted collected three caps in April, four in May, none in June, eight in July, three in August, and four in September. Truman collected one in April, seven in May, three in June, none in July, four in August, and three in September. How many caps did each boy collect? math
22 caps were collected by Ted and 18 caps were collected by Truman.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ted collected three caps in April'
For Ted, In April the number of caps collected = 3
In May the number of caps collected = 4
In June the number of caps collected = 0
In July the number of caps collected = 8
In August the number of caps collected = 3
In September the number of caps collected = 4
The total number of caps collected by Ted=3+4+8+3+4
=22 caps.
For Truman, In April the number of caps collected = 1
In May the number of caps collected = 7
In June the number of caps collected = 3
In July the number of caps collected = 0
In August the number of caps collected = 4
In September the number of caps collected = 3
The total number of caps collected by Truman = 1+7+3+4+3
=18
Hence, 22 caps were collected by Ted and 18 caps were collected by Truman.
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Here is a diagram and it’s corresponding equation.Find a solution to the equation and explain your reasoning.
The solution of the equation is 5/3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that,
The equation is,
⇒ 6x + 11 = 21
Now, Solving for x as;
6x + 11 = 21
6x = 10
x = 5/3
Hence, The value of x is 5/3.
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What are the 3 steps in solving linear equations in two variables?
1. Simplify each side of the linear equation by using the inverse operations.
2. Use the addition or subtraction properties of equality to isolate one of the variables.
3. Use the multiplication or division properties of equality to solve for the remaining variable.
1. Simplifying the equation: The first step in solving linear equations in two variables is to simplify each side of the equation by using inverse operations. This means you will use addition or subtraction to get rid of any constants and multiplication or division to get rid of any coefficients.
2. Isolating one of the variables: Once the equation has been simplified, use the addition or subtraction properties of equality to isolate one of the variables. This means you will move the terms with the variable to one side of the equation and the constants to the other side.
3. Solving for the remaining variable: Finally, use the multiplication or division properties of equality to solve for the remaining variable. This means you will divide or multiply both sides of the equation by the coefficient of the remaining variable. Once done, the equation should be solved and you will have the value of the remaining variable.
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