According to the given quadratic equation the sum of their pieces:
A. = 8x² + 2x + 10
B. 7x²- 7x -17
C. incomplete information.
what exactly is a quadratic equation?A quadratic equation is a third polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
What makes it a quadratic equation?In mathematics, the quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring." This terminology comes from the fact that a square's area is equal to its side length divided by itself. The Latin term quadrature, which means square, is where the word "quadratic" derives.
According to the given information:A. Lisha
= 3x² + 2x + 8
Makulata = 5x² + 2
Sum of the given equation:
= (3x² + 2x + 8) + ( 5x² + 2)
=(3x² + 5x² +2x + 10)
= 8x² + 2x + 10
B.
= 4x + 6x² - 11x + 2 + x² - 19
= (6x² + x²) + (4x - 11x) + 2 -19
= 7x²- 7x -17
C. incomplete information.
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Which point represents the ordered pair (2, -4)?
Responses
A
B
C
D
A line passes through the points (0,5) and (1,9). What is its equation in the slope-intercept form
The equation of the line in slope intercept form is y = 4x + 5.
How to represent equation of a line?The equation of line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptA line passes through the points (0, 5) and (1,9). The slope of the line can be found as follows;
m = slope = 9 - 5 / 1 - 0
m = 4 / 1
m = 4
Hence, let' find the y-intercept of the equation using (0, 5).
y = 4x + b
5 = 4(0) + b
b = 5
Therefore, the equation of the line is y = 4x + 5.
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A waiting room is 2/3 for 136 people are seated how many people are in the waiting room when it is 1/2 full
The number of people in the waiting room is 102.
How many people are in the waiting room?A fraction is a quantity that is a non-integer. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 2/3.
The first step is to determine the total number of people in the waiting room. To do this, divide 136 by 2/3.
Number of people in the waiting room = 136 ÷ 2/3
= 136 x 3/2 = 204
Number of people in the waiting room if it is half full = total number of people in the waiting room x 1/2
204 x 1/2 = 102
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Is 36 and 49 are co-prime?.
The prime factorization of 36 is (2 2 3 3) while that of 49 is (7 7), respectively. As can be seen, the prime numbers 36 and 49 have no common prime factors, making them co-prime.
What is the prime factorization process?Finding the prime factors of a given number, such as a composite number, is done through the process of prime factorization. The prime numbers are the only components in these factors. A number with just the number itself and factor 1 is said to be a prime number. As an illustration, the prime number 2 contains two factors, 2 and 1.
What does a math prime factor mean?The prime numbers that divide a positive integer exactly are said to be its prime factors. Integer factorization, often known as prime factorization, is the process of locating these integers. According to the basic theorem of mathematics, each positive integer has a distinct prime factorization.
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Complete each congruency statement, and name the rule used.
If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "CanNot Be Determined" in place of the rule.
△SAT ≅ △____ by ____
A
O
S
T
The triangles SAT and SAO are congruent by the Side-Angle-Side (SAS) congruence theorem.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side congruence theorem states that if any of the two sides on a triangle are the same, along with the angle between them, then the two triangles are congruent.
For the triangles SAT and SAO in this problem, we have that:
Angles ASO and AST are the sime.Side SA is common to both triangles, hence the same.Sides ST and SO are the same.The common angle are between the common sides, hence the SAS congruence theorem was used to determine the congruence of the two triangles.
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A store has a 25% discount now the cost is 34.50 what was the original price of the item
Answer:
$46
Step-by-step explanation:
We already have our first value of 34.5 and the second value of 75. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1
34.5 = 75% × Y
STEP 2
[tex]34.5 = \frac{75}{100} *Y[/tex]
Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:
STEP 3
[tex]Y = 34.5 *\frac{100}{75}[/tex]
STEP 4
Y = 34.5 × 100 ÷ 75
STEP 5
Y=46
Answer:
The original price is 46
Step-by-step explanation:
The x be the original price of the item.
The discount is 25%
x - .25x = 34.50
.75x = 34.50
Divide each side by .75
x = 34.50/.75
x = 46
The original price is 46
A car is traveling at a speed of 2 feet per second. What is the car's speed in miles per hour? How many miles will the car travel in 3 hours? In your computations, use the fact that mile is equal to feet. Do not round your answers.
Answer:
Step-by-step explanation:
The car is moving at 1.36 miles per hour. It will travel 4.09 miles in 3 hours. If you drive like this, I would suggest speeding up.
Subtract (2x - 2y) from the sum of (10x - 2y) and (-3y)
The value of (10x - 2y) + (-3y) - (2x-2y) is 8x-3y (option A)
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less. The minuend, subtrahend, and difference are parts of a subtraction problem.
For example, if 5 mangoes were taken from a basket filled with 20 mangoes, the number of mangoes left in the basket is calculated by subtracting 5 from 20 i.e 20-5 = 15 mangoes.
(10x-2y) + (- 3y) - (2x-2y)
10x +2y -3y-2x +2y
collect like terms
10x -2x+2y-3y-2y
8x-3y
= 8x - 3y
Therefore the value of Subtracting (2x - 2y) from the sum of (10x - 2y) and (-3y) is 8x+3y
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A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online.
The percentage of the people that surveyed shop at a local grocery store is 57%.
How to find the percentage?The total number of respondents = 76The number of people who buy at the local grocery store = 43
The percentage [tex]=\frac{43}{76} \\\\[/tex]
= 0.5657 * 100%
= 57 %
A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers. The symbol "%" is frequently written after the number to indicate percentages. Adding "percent" or "pct" after the number can also be used to indicate them. The formula for calculating the percentage difference between two values is to divide the absolute value of the difference between two numbers by their average.To learn more about ratio, refer:
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what is the probability of selecting a 2 and then a number divisible by 4?
The probability of selecting a 2 and then a number divisible by 4 will be C. 1/24.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur
The probability of selecting 2 is 1/6.
The probability of selecting a number divisible by 4 will be 1/4.
The probability of selecting a 2 and then a number divisible by 4 will be:
= 1/6 × 1/4
= 1/24
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What equation has many solutions?.
An equation with infinite solutions has both sides equal.
We know that a solution of an equation is a value that satisfies given equation.
As we know the system of equations has infinitely many solutions if the system of lines are coincident, and if they have the same y-intercept.
In some equations, any value for the variable makes the equation true. This means, an equation has infinitely many solutions.
Consider the equation 5x + 13 = 3x + 13 + 2x
5x + 12 = 5x + 12 .....(combine like terms)
13 = 13 ........(subtrsct 5x from each side)
As we know 13 = 13 is always true.
To check that above equation has an infinite number of solutions, we try substituting some different values for x
For x = 3
5(3) + 13 = 3(3) + 13 + 2(3)
15 + 13 = 9 + 13 + 6
28 = 28
The statement 28 = 28 is always true. So, x = 3 is a solution.
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1234568x0987654321x12345678890
Answer:
1.5053412e+25
Step-by-step explanation:
use a calculator dude
The average of a list of 4 numbers is 85. A new list of 4 numbers has the same first 3
numbers as the original list, but the fourth number in the original list is 105, and the
fourth number in the new list is 115. What is the average of this new list of numbers?
According to the solving the average of this new list of numbers is 60.
What is the average in math?The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
According to the given information:The sum of the original list's four numbers, whose average is 90, is as follows:
4 × 85 = 232
Since 80 is the fourth number inside the original list, the first three numbers in the original list add up to:
232 − 105 = 127
The total of these updated first 3 numbers is also: if the first 3 numbers inside the new list are the same as those in the old list:
127
The total of the first four numbers with in new list, if the fourth number is 96, is:
127 + 115 = 242
As a result, the new list of four numbers' average is:
242 ÷ 4 = 60
According to the solving the average of this new list of numbers is 60.
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Mr. Johnson is going to buy an 1834 18 3 4 pound turkey for Thanksgiving. The turkey costs $2.95 $ 2.95 per pound at the grocery store. Which is the closest estimate to total cost of Mr. Johnson's turkey (before taxes)?
Answer:
The closest estimate to the total cost of Mr. Johnson's turkey (before taxes) is $54.67.
Step-by-step explanation:
You can calculate this by multiplying the weight of the turkey (18 3/4 pounds) by the price per pound ($2.95).
(18 3/4) * ($2.95) = 54.67
Re-write the quadratic function below in Standard Form
-(x-3)(x+7)
Answer:
[tex]-x^{2}[/tex] -4x + 21
Step-by-step explanation:
-(x-3)(x+7)
(-x + 3) ( x + 7)
[tex]-x^{2}[/tex] - 7x + 3x + 21
[tex]-x^{2}[/tex] -4x + 21
How do you write 1 more than a number?.
To write 1 more than a number, we use the mathematical operation of addition and the notation 1 + Number = N+1.
To write 1 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.
In this case, we are given the number 1 and we are asked to find the number that is 1 more than it. To do this, we can use the mathematical notation: 1 + Number = N+1.
This notation means that we are adding 1 to a number, which results in N+1. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+1.
Another way to write 1 more than a number is to use the phrase "1 plus a number". This phrase indicates that we are adding 1 to a number to get N+1.
Therefore, In short, to write 1 more than a number, we use the mathematical operation of addition and the notation 1 + Number = N+1. This means that we are adding 1 to a number, resulting in N+1. It can also be written as "1 plus N", indicating the same operation.
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Please answer this. Thank you! :)
Protein of [tex]125 g[/tex] Yoghurt A is [tex]6,5 g[/tex]
Protein of [tex]150 g[/tex] Yoghurt B is [tex]4,0 g[/tex]
How many grams of protein are provided by [tex]100 g[/tex] of yoghurt A?
First, find the ratio of the weight of the yogurt A
[tex]125 g : 100 g[/tex]
125 and 100 have the same factor is 25. then divide both numbers by 25 to simplify it.
[tex]\frac{125}{25}:\frac{100}{25} =5:4[/tex]
Find grams of protein are provided by [tex]100 g[/tex] of yoghurt A use comparison [tex]5:4[/tex]
[tex]\frac{4}{5}(4)=\frac{16}{5}=3,2 g[/tex]
[tex]3,2g[/tex] of protein are provided by [tex]100 g[/tex] of yoghurt A.
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Tony bakes a casserole for 25 5/12 minutes. He decides it needs to bake longer. He bakes it for another 2 3/6 minutes. How long does the casserole bake altogether?
The total time that Tony bakes the casserole is calculated by adding the two times together.
The first time the casserole bakes for 25 5/12 minutes and the second time it bakes for 2 3/6 minutes. The two times can be written in fractions as 25 5/12 + 2 3/6. To add fractions with different denominators, the denominators must first be made equal.To accurately calculate the total amount of time the casserole bakes, the fractions must be converted to their equivalent value in the same unit. 5/12 minutes is equal to 10/24 minutes and 2 3/6 minutes is equal to 8/6 minutes. To add the two fractions, 10/24 and 8/6, they must be converted to have the same denominator. The least common denominator is 24, so 10/24 is equal to 5/12, and 8/6 is equal to 16/24. To make the denominators equal, the common denominator of 12 must be used. 25 5/12 can be rewritten as 225/12 and 2 3/6 can be rewritten as 15/12. 225/12 + 15/12 = 240/12. The fraction 240/12 can be reduced to 20/1. Therefore, the total time that Tony bakes the casserole is 20 minutes. The formula used to calculate this time is (25 5/12) + (2 3/6) = (225/12) + (15/12) = (240/12) = (20/1).
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What is an XYZ triangle?.
A formed angle has been created between the two sides. Two of the sides of XYZ are the same length if XY = YZ. It will be an isosceles triangle as a consequence.
An isosceles triangle in geometry is a triangle with two equal-length sides. There are two ways to describe it: either as having precisely two sides of equal length or at least two sides of equal length, with the equilateral triangle being an exception to the second definition. The two sides have come to an agreement.The base of the triangle is the third side of an isosceles triangle, which is not equal to the other two sides.
The two angles are exactly aligned with the equal sides.
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Using the formula, Quantity= Percent x Whole, 20 is what percent of 40? 20 = p(40) Find what is p by dividing both sides by 40.
By using the formula, Quantity = Percent × Whole, 20 is 50% percent of 40.
What is a percentage?In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
How to calculate the percentage of a number?In order to determine the percentage which 20 is of a whole number (40), we would apply the following mathematical expression (formula);
Quantity = percent × whole number
Substituting the given parameters into the percentage and quantity formula, we have the following;
20 = percent × 40
Percent = 20/40
Percent = 0.5
Next, we would multiply the resulting decimal value by 100 as follows;
Percentage = 0.5 × 100
Percentage = 50%.
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simplify: -3 | -2 | + 4 | - 5 |
Step-by-step explanation:
the absolute value always generates the positive value of the argument, no matter what the sign of the argument is.
+ stays +
- turns to +
so, we actually have
-3×2 + 4×5 = -6 + 20 = 14
Find the domain and range.
Answer:
Domain: x ≥ 4
Range: y ≥ 6
Step-by-step explanation:
Eric and Willow collect baeball card. Eric ha 350 baeball card and collect 10 card per week. Willow ha 250 baeball card and collect 15 card per week. After how many week will Eric and Willow have the ame number of baeball card? Explain the meaning of the olution
Eric and willow will have the same number of baseball cards (when they initially have 350 and 250 cards respectively ) after 20 weeks.
Given,
Number of baseball cards Eric has = 350
Eric collects 10 cards per week.
Number of baseball cards Willow has = 250
Willow collects 15 cards per week
Let after [tex]x[/tex] weeks both eric and willow have the same number of baseball cards .
According to the question,
[tex]350 + 10x = 250 + 15x\\5x = 100\\x=20[/tex]
Therefore, after 20 weeks both eric and willow have the same number of baseball cards.
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In the diagram below, QR is parallel to NO. If the length of NO is the same as the length of QP, NP=21, and QR=10, find the length of QP. Figures are not necessarily drawn to scale. State your answer in the simplest radical form, if necessary.
Using properties of Similar triangles, The measure of QP is 14.49.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Similar triangles differ in size but have the same shape. Corresponding angles are identical in similar triangles. Similar triangles have corresponding sides that have the same ratio. The ratio of the square of any two of their corresponding sides to any identical triangle's area is the same.
Given two triangles,
ΔPQR and ΔPNO are Similar,
So, their sides are present in the ratio -
NO / QR = NP / PQ
We are given, QR = 10
NP = 21
On putting the values in the NO / QR = NP / PQ equation,
⇒ NO / 10 = 21 / QP
As NO = QP (given)
We can write as -
QP / 10 = 21 / QP
⇒ QP² = 10 × 21
⇒ QP² = 210
⇒ QP = 14.49
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What is the highest decimal value a byte can represent?
Answer:
255 is the highest decimal value a byte can represent.
Step-by-step explanation:
What is 1 4 plus 1 4 as a fraction?.
Fraction value for 1/4 plus 1/4 is 1/2.
The same denominator and different numerators are considered equivalent fractions in mathematics. For instance, since 2/4 and 3/6 both equal 1, they can both be considered similar fractions. A fraction is a portion of a whole. Equivalent fractions depict identical sections of the total.
It is possible to determine the equivalent fraction of any fraction by multiplying the numerator and denominator by the same integer. Equivalent fractions are those that represent the same value despite having different visual characteristics. For instance, if you cut a piece of cake in half and eat one of the pieces, you will have eaten half of the cake.
= 1/4+1/4
= 2/4
= 1/2
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Correct Question:
What is 1/4 plus 1/4 as a fraction?.
What two numbers multiply to -24 and add 36
Two numbers are: - 36.65 and 0.655. This can be solved by using the concept of equation.
What is an equation?An equation is an algebraic expression that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. For instance, the equation 7x + 14 = 35 consists of the two equations 7x + 14 and 35, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
By deleting parenthesis and grouping like words, each side of the equation may be made simpler. The changeable item on one side of the equation can be separated using addition or subtraction. To determine the variables, apply divisions or multiplication.
Given that,
two numbers multiply to -24 and add 36.
Let, two numbers are: x and y
Now, xy = -24 ............. (1)
or, y = - 24/x
x + y = 36 .............. (2)
Next, put y = - 24/x in equation no. (2) we get -
x + (-24/x) = 36
or, x² - 24 = 36x
or, x² - 36x - 24 = 0
or, x = -36.65
so, y = (-24/x) = (-24/ - 36.65)
y = 0.655
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) A plan of a play boat is drawn to a scale of 1: 20. If the actual area of the base of the boat is 0.64m², calculate the area on the map in square centimeters.
The area on the map in square centimetres is 64 cm².
The scale of the plan is 1:20, meaning that for every 1 unit of measurement on the plan, the corresponding measurement on the actual boat is 20 units.
If the actual area of the base of the boat is 0.64 m², then the area on the map will be:
(0.64 m²) * (1/20)² = 0.0064 m²
To convert this to square centimetres, we multiply by 10,000 (since 1 m² = 10,000 cm²):
0.0064 m² * 10,000 = 64 cm²
Therefore, the area on the map in square centimetres is 64 cm².
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Answer:
16 cm²
Step-by-step explanation:
The scale of the map indicates the ratio of the linear dimensions of the map to the actual ones. Then the area of the map will correlate with the actual one, as with a scale square:
S map = S actual * (1:20)²
S map = 0.64 m² * 1/400
S map = 0.0016 m²
But we know that 1 meter contains 100 cm, so 1 m² = 10,000 cm². Then:
0.0016 m² * 10000 = 16 cm²
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Hey um can somone help me out please i dont know what is correct and wrong
What is the definition of the sine ratio in a right triangle?.
The ratio of the side of a right-angled triangle opposite to a specified angle to the hypotenuse; when expressed as a real number between 0 and 1, it defines the sine of the angle.
What is the sine ratio in a right triangle?.Whenever the ratio is found by using the opposite side and the hypotenuse, we call it sine ratio.
We then say that sine 45 degrees is equal to 0.707. In short, we can use the symbol sin instead of sine and write sin (45 degrees) = 0.707
In general, sine of angle A = length of leg opposite angle A / hypotenuse
sin(A) = opposite/hypotenuse
In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
The ratio of the side of a right-angled triangle opposite to a specified angle to the hypotenuse; when expressed as a real number between 0 and 1, it defines the sine of the angle.
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