The values of A and B are 2 and 4 respectively.
What is expression?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 equation as -
(x + A)² - 3 = x² + 4x + B
We can write the given equation as -
(x + A)² - 3 = x² + 4x + B
x² + A² + 2Ax = x² + 4x + B
A² + 2Ax = 4x + B
A² + 2Ax = B + 4x
Equating both sides, we get -
A² = B
and
2A = 4
A = 2
Then B will be equivalent to 4.
B = 4
Therefore, the values of A and B are 2 and 4 respectively.
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How do I solve this system of equations using the elimination method
y=3x+13
2x=y-9
The value of x is -4 and the value of y is 1.
What is the value of x and y?In order to use the elimination method, rearrange the given linear equations.
y - 3x = 13 equation 1
y - 2x = 9 equation 2
Subtract equation 2 from equation 1:
-x = 4
x = -4
Substitute for x in equation 2
y - 2(-4) = 9
y + 8 = 9
y = 9 - 8
y = 1
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Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000
In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.
The cost of renting the car for one day and driving 200 miles is $54.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.
Establishing the equation for finding total cost y for x miles and d days
y = 18d + 0.2x
For 200 miles, the cost =
y = 18×1+0.20×200
y = 18+40
y = $54
Hence, the cost of renting the car for one day and driving 200 miles is $54.
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5. A candy company used 12 gallons of syrup to make 6 batches of candy. What is the rate of syrup per batch? (Please explain!)
Answer: 2 gallons of syrup per batch
Step-by-step explanation:
12/6=2
5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
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Write 2,023 in word form
Answer:
Two thousand and twenty three
Step-by-step explanation:
Answer: Two and twenty-three thousandths
Step-by-step explanation:
write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions
Answer:
4^5 = 1024
4×4×4×4×4 = 1024
Step-by-step explanation:
An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.
A product of factors is going to show the multiplication written out sort of in a long format:
4 × 4 × 4 × 4 × 4
4^5 = 1024
4×4×4×4×4 = 1024
A bag contains 27 balls. The ratio of red to blue to yellow balls is 6:1:2 find how many red, blue and yellow balls there are
Answer:
18 red balls, 3 blue balls, 6 yellow balls.
Step-by-step explanation:
Ratios:a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.
In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.
In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.
Solving the Problem:Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".
Using this logic, we can set up the following equation:
[tex]6G+1G+2G=27[/tex]
For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.
[tex]9G=27[/tex]
Now divide by 9
[tex]G=3[/tex]
Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.
[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]
and you can all this together, to double check, which gives us 27.
Answer:
18,3,6
Step-by-step explanation:
Given ,
A bag contains 27 ballsThe ratio of red to blue to yellow balls is 6:1:2To Find : The number of red,blue and yellow balls present in the bag
Let us take the variable as 'x' to represent the number of balls in the bag
When we Put the values in a equation,
6x+x+2x = 27
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Hence the number of,
Red Balls = 6x = 6 x 3 = 18
Blue Balls = x = 3
Yellow Balls = 2x = 2 x 3 = 6
A pack of paper costs $3.79, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $15 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
Answer:
3 stacks of paper can be purchased.
Step-by-step explanation:
Start by setting up the inequality:
15 = 3.79x
Now that you have set up the inequality, go to solve the inequality.
You should get the answer 3.958 (rounded). Since Mr. Valentino can not by a half stack of paper, drop the decimal so we are left with 3.
I would describe the graph as a straight line increasing, with money on y and stacks of paper on the x axis
Decompose the fraction 1 3/4
Decomposition of the fraction [tex]1\frac{3}{4}[/tex] =7/4 = 17/4 - 10/4
Here, the numerator, or top number, 7, indicates how many pieces we will examine.
Please look at figure a and pay attention to the three coloured components. The bottom number, our denominator, provides the total number of components. As a result, pay close attention to figure a. There are a total of four parts, numbered 1, 2, 3, and 4. However, since we are working with 7/4, we will just examine the three shaded parts.
7/4 = 17/4 - 10/4
7/4 = 11/4 - 4/4
Unit fraction decomposition will be used. Unit fraction - what is it? What would we focus on if we just looked at one element? It is one in four, or 1/4. Because this is the first of a series that includes 1, 2, 3, and 4. The third component would also be 1/4, and the second piece would be 1/4.
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) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).
Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.
The complete program is
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
How to write the programFrom the question, we have the following parameters:
Accept inputs of integer, float, character and stringPrint the inputs on a line separated by spaceThe program that does this is:
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
See attachment for complete program and the output of the program execution
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4 3/5+ 2 2/3= l need someone to help me out
•15 POINTS• don’t explain
A.neither
B.HL
C.SAS
Answer:
C
Step-by-step explanation:
2 sides and the included angle of both triangles are congruent, then the triangles are congruent by SAS postulate
10 POINTS!
What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
A. 12
B. 5
C. 12/5
D. 5/12
Answer:
d
Step-by-step explanation:
The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:
x = 2; y = 5/6
k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,
y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12
show that 2/4+1/4=3/4 and not 3/8 using pictures
Answer:
Here
Step-by-step explanation:
Step by step solution:
Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.
The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:
Given:
=2/4 + 1/4
=(2+1)/4
=3/4
Therefore, 2/4 + 1/4=3/4 and not 3/8
Note:
Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.To read more about "Fraction" here:
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Given f(x) and g(x) are polynomials, is the product always a polynomial? Justify your argument.
The product of f(x) and g(x) is , .
select choice(sometimes never always)
a polynomial. By the definition of polynomials the product of polynomials is ,
Select Choice(sometimes never always)
a polynomial because the ,
Select Choice(exponents coefficients variables)
are real numbers and the ,
Select Choice(exponents coefficients variables)
are whole numbers. Real numbers and whole numbers are ,
Select Choice(closed not closed
under addition and subtraction.
The complete statement about the product of the polynomials is that:
The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
Polynomials f(x) and g(x)
When these polynomials are multiplied;
We get another polynomial
This is because, when you multiply two polynomials you get a sum of monomials.
A sum of monomials is always a polynomial
The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition
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Given K (9,-9), L(2,-2), M(-9,-5), and N (5, y). Find y such that
KL_|_MN.
On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of [tex]X = -2[/tex]
y-coordinate of[tex]S = 4.[/tex]
S is given by: [tex](-2,4)[/tex]
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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of -2
y-coordinate of 4
S is given by: (-2,4)
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Describe the error in each problem below. 36÷3+(3²•2)36÷3+9•2 36÷12•2 3•2 6
Answer:
Step-by-step explanation:
In the last part of the problem, you have to follow PEMDAS.
Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.
What is the rate of change of the function y= 3/4x - 2
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
3 1/7 x [3 1/3 x (2/3+1/6) -1 5/18] ÷2 3/7 =?
Step-by-step explanation:
3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7
well, first we have to bring everything to true fractions.
then we need to bring all fractions we need to add or subtract to the same denominators.
and then we simply calculate.
3 1/7 = (3×7 + 1)/7 = 22/7
3 1/3 = (3×3 + 1)/3 = 10/3
1 5/18 = (1×18 + 5)/18 = 23/18
2 3/7 = (2×7 + 3)/7 = 17/7
22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7
to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.
2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6
22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7
22/7 × [50/18 - 23/18] ÷ 17/7
22/7 × 27/18 ÷ 17/7
22/7 × 27/18 × 7/17
22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17
so, the result is 33/17 = 1 16/17
The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h0). The table shows data for a pebble that fell from a cliff. Image description Choose the quadratic equation that models the situation.
The quadratic equation that models the situation is
h(t) = - 4.9t² + 60.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is that the function h(t) = - 4.9t² + h₀ gives the height (h), in meters, of an object (t) secs after it falls from an initial height h₀. The table shows data for a pebble that fell from a cliff as -
TIME (t) HEIGHT (h)
1 55.1
2 40.4
3 15.9
The given function is -
h(t) = - 4.9t² + h₀
For the point (1, 55.1), we can write as follows -
55.1 = - 4.9 x 1 x 1 + h₀
h₀ = 55.1 + 4.9
h₀ = 60
So, we can write the function as -
h(t) = - 4.9t² + 60
Therefore, the quadratic equation that models the situation is
h(t) = - 4.9t² + 60.
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Answer:
c on edge
3.5
Step-by-step explanation:
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
An Uber company charges $7.50 for the first mile and $1.10 for each additional mile. What is the Uber rate for 9 miles? Use r for the total rate and m for total miles.
Answer:
r = 7.50 + (1.10 × (m - 1))
r = 7.50 + (1.10 × (9 - 1))
r = 16.40
The total uber rate for 9 miles is $16.3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
First-mile charge = $7.50
Additional charges after the first mile = $1.10
The total charge for 9 miles.
r = 7.50 + 1.10 x 8
r = 7.50 + 8.8
r = $16.3
Thus,
The total rate for 9 miles is $16.3.
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98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
here, on solving company reduced the size of their percentage container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.
what is percentage ?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
The initial size was x.
Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.
90% of the original size is equal to 4.5 ounces,
hence the calculation we use to determine the original size x is:
0.9 x = 4.5 x
= 4.5 / 0. 9 x = 5
The bottle's initial capacity was 5 ounces.
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Devin purchased a container of sport drink that contains 300 calories. The label says that 80% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer: 240 Calories are from Carbohydrates
Step-by-step explanation:
First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:
300 * 0.8 = 240 Calories.
What is the growth rate in inches per hour of flowers that grew 5 inches in 10 hours ??
Answer:
1/2 or 0.5 inches per hour
Step-by-step explanation:
5 divided by 10 will get you this answer
Please help me, I need help asap !! I can’t figure it out
What are four names for 3.09
Answer: Three and Nine Hundreths
3 9/100
309%
Step-by-step explanation:
i only know 3 sorry :(
Answer:
: Three and Nine Hundredths
: 3 9/100
: 309%
: 3 90/1000
Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.
HELP! WILL GIVE BRAINLIEST
Answer:
Radical Approximation
of A=5√2
of B=2√13
of C is 3√7
X+X+X+Y+Y=
im doing algebra and cant understand the above question
Answer:
3x + 2y
Step-by-step explanation:
X+X+X+Y+Y=
you simply count equal letters and add them x+x+x is 3x and y + y = 2y.
x + x + x + y + y =
3x + 2y
not knowing the value of x or y we stop here