Examples of perfect trinomials are-
x 2 + y 2 + XY,
A trinomial that can be expressed as the square of a binomial is referred to as a perfect square trinomial. Remember that the square of the first term, twice the product of the first two terms, and the court of the final time are the results of squaring a binomial. The perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the condition b 2 = 4ac has the form ax 2 + bx + c, it is said to be a perfect square. The outcome variables are (x + r) and (x + s). For instance, to factor x2 + 7x + 10, you need to find two numbers whose sums are 7 (the middle term's coefficient), and 10.To learn more about polynomials here
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What is the value of f of 2?.
The value of f of 2, which means f(2), is 6.
As we know,
f'(x) = [tex]\[ \lim_{h\to0}[/tex] [f(x+h) - f(x)]/h
= [tex]\[ \lim_{h\to0}\\[/tex] [f(3x + 3h)/3 - f(3x + 0)/3]/h
= [tex]\[ \lim_{h\to0}\\[/tex] [{2 + f(3x) + f(3h)}/3 - {2 + f(3x) + f(0)}/3]/h
∴f'(x) = [tex]\[ \lim_{h\to0}\\[/tex] [f(3h) - f(0)]/3h-0 = f'(0)
⇒ f′(2) = f′(0) = 2 [∵f′(2) = 2]
⇒f′(x) = 2
Now, apply integration on the above equation with respect to x
∴f(x) = 2x + c (1)
Substituting x = 0 = y in f{(x+y)/3} = {2 + f(x) + f(y)]/3
⇒3f(0) = 2 + f(0) + f(0)
∴f(0) = 2
By equation (i) f(0) = 2.0 + c
∴c = 2 [∵f(0) = 2]
Now (1) becomes
∴f(x) = 2(x + 1)
Put x = 2
f(2) = 2(2 + 1) = 2 × 3 = 6
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Choose the expression that is equivalent to the expression shown below. n/4+n/4+n/4+n/4
The expression that is equivalent to the expression n/4+n/4+n/4+n/4 is,
⇒ n
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The expression is,
⇒ n/4 + n/4 + n/4 + n/4
Now, We can simplify the expression as;
⇒ n/4 + n/4 + n/4 + n/4
⇒ (n + n + n + n) / 4
⇒ 4n/4
⇒ n
Thus, The expression is equivalent to n.
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What does a square have in common with a rectangle?
Each squares and rectangles are a form of quadrilateral, with four inner angles that are both 90 degrees, and opposite sides that are parallel to one another.
Are a square and a rectangle usually similar?
As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
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What is the simplest way of remembering the first three trigonometric ratios?.
You may quickly determine the fundamental trigonometric numbers of the most typical angles by utilizing a trigonometry table or the SOHCAHTOA approach.
Make a new table for trigonometry. Create a table with six rows and six columns. Put the trigonometric ratios in the first column (sine, cosine, tangent, cosecant, secant, and cotangent). Write the usual trigonometric angles (0°, 30°, 45°, 60°, and 90°) in the first column. Leave all of the other table entries blank.
the three basic trig ratios that are used to solve for missing sides and angles in a right triangle. It is defined as follows: SOH: Opposite / Hypotenuse = Sin().
Fill the sine, cosine, and tan values in the appropriate columns.
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What is a triangle with 3 60 degree angles called?.
Answer: acute triangle
Step-by-step explanation: acute triangle are also known as equilateral triangle, meaning all sides are equal. This also makes it equiangular (angle measurement are 60 degrees). Remember triangle ALWAYS add up to 180 degrees.
for each sequence,find the first 4th terms and the 10th terms.
a)10-n
b)6-2n.
The numbers for the sequences are 10-n = 9, 8, 7, 6, 0, and 6-2n = 4,2, 0, -2, and -14.
What is a sequence?A sequence is a series of numbers that follow the sample principle in terms or order. In this case, the sequence is determined by the equations given, and based on this the numbers are calculated.
What are the numbers in these sequences?10-n:
10 - 1 = 9
10 - 2 = 8
10 - 3 = 7
10 - 4 = 6
And the 10th term is
10- 10 = 0
6-2n:
6 - 2 = 4
6 - 4 = 2
6- 6 = -0
6 - 8 = -2
And the 10th term is
6 - 20 = -14
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What i the total cot of 1. 8 cubic yard of oil if it ell for $17 per cubic yard ?
The total cost of 1.8 cubic yards of oil at $17 per cubic yard would be $30.6.
Cost of Oil CalculationThis can be calculated by multiplying the number of cubic yards (1.8) by the cost per cubic yard ($17).
1.8 × 17 = $30.6
The calculation I provided is a basic mathematical concept of multiplying a quantity (1.8 cubic yards) by a unit price ($17 per cubic yard) to find the total cost. This is a fundamental concept in mathematics, specifically in the field of arithmetic, which deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division.
Arithmetic is a branch of mathematics that deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division. The formula 1.8 cubic yards x $17 per cubic yard = $30.6 is an example of multiplying a quantity by a unit price which is an arithmetic operation. This operation is used to find the total cost of a specific quantity of a product or material that is sold by volume.
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Help, please?? As soon as possible would be appreciated
The definition for the function is b.
What is the definition for the function?In the graph, the left line is a ray.So, when x is 2, left ray cannot get the value as 2 .Thus x <2
The intersection of the outer axis is (0,1) .So the constant term of the equation is 1
Initially, functions represented the idealized relationship between two changing quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable that is, they had a high degree of regularity.To learn more about function, refer:
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Rachel jut old her home and paid $18,427 in cloing cot. Her brokerage fee, which i included in that figure, wa 6%. She netted $230,063. What were her non-brokerage fee-related cloing cot? Round to the nearet dollar
Rachel's non-brokerage fee-related closing costs can be calculated by subtracting the brokerage fee from her total closing costs.
Since the brokerage fee was 6%, the fee comes out to be $1,105.20. To calculate the non-brokerage-related closing costs, subtract $1,105.20 from the total closing costs of $18,427, which yields a total of $17,321.80.
18427-1105.20=17321.80
This is the amount of non-brokerage fee-related closing costs that Rachel paid for her home. Rachel's net gain from the sale of her home was $230,063, which is the difference between the sale price of her home and the total closing costs, including the brokerage fee.
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triangle k a p is congruent to Triangle akr by rule
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. The rules to show this include SSS, SAS, ASA.
How to explain the triangle congruenceSide-Side-Side (SSS) Rule The SSS rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent
The SAS rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
The ASA rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.
An overview was given due to the incomplete information.
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Help Please, Also give steps.
The altitude of the right triangle is as follows:
BD = √330 units
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
ΔABC is a right angle triangle with altitude BD drawn to the hypotenuse AC. Therefore,
AD = 15 units
DC = 22 units
The length of BD in the simplest form can be found as follows:
Using similar triangle,
Hence,
let
BD = x
15 / x = x / 22
cross multiply
x² = 22 × 15
x² = 330
x = √330
Therefore,
BD = √330 units
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Louis has 1 green counter, 2 white counters
and 2 yellow counters in a box.
Louis takes one counter at random from the
box, puts it back, and takes another
counter from the box.
The probability that Louis takes two green counters is 1/9, since there is only one green counter in the box.
What is random probability? Random probability is a mathematical concept that describes the likelihood of a given event occurring. It is a measure of the chance that a certain event will happen, expressed as a percentage or a fraction. Random probability is based on the idea that all outcomes of a situation are equally likely to occur, and the probability of any event occurring is the same as any other event. For example, the probability of rolling a six on a standard die is 1/6, or 16.7%. Random probability is used in many different fields, from gambling to weather forecasting. It is also used in scientific experiments and research, to determine the likelihood of a certain outcome occurring. Random probability can be used to measure the probability of success in any given situation. For example, a company may use random probability to determine how likely it is for a particular product to be successful in the market. By understanding random probability, companies can make more informed decisions about their products and services, and gain a better understanding of their risks and rewards.To learn more about probability refer to:
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Which of the following uses the reciprocal property to rewrite
x/6 = 28/3?
Answer:
6/x = 3/28
Step-by-step explanation:
10007 in the expanded form.
Answer:
10,007
Ten thousand seven
Step-by-step explanation:
Find the bearing of d from a
Please help!
The bearing of D from A is given as follows:
24º.
How to obtain the bearing of D from A?The bearing of D from A is obtained using the angle addition postulate, which states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.
The angle measures for this problem are given as follows:
x, 166, 15 and 155.
The total of these measures is of 360º, hence the value of x, representing the bearing of D from A, is given as follows:
x + 166 + 15 + 155 = 360
x + 336 = 360
x = 24º.
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URGENT!
find the value of x in each supplementary angle pair
Answer: X=9
180 -108=72
72/8=9
Answer:
x = 9° (or) 8x = 72°
Step-by-step explanation:
Now we have to,
→ find the required value of x.
We know that,
→ Straight line is always 180°.
Forming the equation,
→ 8x + 108° = 180°
Then the value of x will be,
→ 8x + 108° = 180°
→ 8x = 180° - 108°
→ 8x = 72°
→ x = 72° ÷ 8
→ [ x = 9° ]
Hence, the value of x is 9°.
Calculate the average speed of a train that travels 500km in 4 hours
Answer:
125 km per hour
Step-by-step explanation:
divide 500 by 4 to find the averge
Answer:
[tex] \sf \: 125km/hr[/tex]
Step-by-step explanation:
Average speed = [tex] \sf \: \frac{distance \: travelled}{time \: taken} [/tex]
Ave. speed = [tex] \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} [/tex]
Hence, the average spred is 125km/h respectively.
What is inverse 2x2?.
If a 2×2 matrix A is reverse and is multiplied by its inverse (indicate by the symbol A−1), the develop product is the Identity matrix which is indicate by I.
In fact, I can control the order or direction of multiplication between matrices A and A−1, and I would still get the Identity matrix I. That means reverse matrices are commutative.
A×A^-1= I.
In normal, the inverse of a matrix A is found using the formula (adj A)/ (det A), where "adj A" is the "adjoint of A" and "det A" is the "determinant of A".
the inverse of a 2x2 matrix, say A, is a matrix of the similar order known by A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix of order 2x2.
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*Convert the following statements into equations.*
(a) 3 added to a number is 11
b
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4. (d) 2 times the sum of the number x and 7 is 13.
Answer:
Step-by-step explanation:
Answer:
(a) x + 3 = 11
(b) x - 2 = 15
(c) 3x -2 = 4
(d) 2(x-7) = 13
Step-by-step explanation:
Given:(a) 3 added to a number is 11
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4.
(d) 2 times the sum of the number x and 7 is 13.
Solve:(a) 3 added to a number is 11
Answer : x + 3 = 11
Base on the given it states that 3 added to a number is 11. A number is identified as x. Hence, a number added 3 equal 11.
Hence, x + 3 = 11 is the equation.
(b) 2 subtracted from a number is equal to 15.
Answer : x - 2 = 15
Base on the given 2 subtracted from a number is equal to 15. As known, a number is identified as x. Equal to 15 = Total. Hence, x - 2 = 15.
(c) 3 times a number decreased by 2 is 4.
Answer : 3x - 2 = 4
Base on the given 3 times a number decreased by 2 is 4. As known, a number is identified as x. 3 times is identified as times 3. And decreased is identified as subtract. Hence, 3x-2 = 4 is the equation.
(d) 2 times the sum of the number x and 7 is 13.
Answer : 2( x + 7 ) = 13.
Base on the given 2 times the sum of the number x and 7 is 13. As known, a number is identified as x. 13 is the total. 2 times equals multiply 2. Sum of the number x and 7 meaning is Addition. Sum = Addition. Hence, 2(x+7)=13 is the equation.
RevyBreeze
Paulo's pizzeria sells personal pizzas that start at $7 for plain cheese. The pizzeria also offers a variety of toppings, all priced at $1 each. Write an equation that shows how the price of a personal pizza, y, depends on the number of toppings, x.
The equation that shows how the price of a personal pizza y depends on the number of toppings x is y = 7 + x.
The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:
Equation : y = mx + c
where:
m = Gradient
c = Slope of the line
The equation that shows how the price of a personal pizza y, depends on the number of toppings x is y = 7 + x
This question can be solved and represented using the equation of a straight line.
Let's represent
y = price of a personal pizza
x = number of toppings
The price for a plain cheese pizza = $7
The price for each of the toppings = $1
Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x is written as:
y = $7 + $1 × x
y = 7 + x
Therefore, y = 7 + x is the equation represents the relationship between the price of a personal pizza and the amount of toppings.
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what is 345 divided by 2:3
Answer:
Est: 517
Answer: 517.499999974
Step-by-step explanation:
Is the domain of a function always all real numbers?.
The domain of a function is not always all real numbers.
We know that the domain of function is the set of all possible input values for which the function is well defined.
And the range of function is the set of all possible output values for given input.
As we know the domain of a function, f(x), is all real numbers when there are no restrictions on what we can take input for x, as all real numbers would make function f(x) true.
But the domain of a function is not always all real numbers.
consider the function f(x) = 1/x
This function is not defined for x = 0
So, the domain of above function f(x) is R - {0}
Also, we know that the domain of a logarithmic function is all non-zero positive real numbers.
Thus, the domain is not always set of all real numbers.
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Is 4 a real number?.
Yes. 4 is a real number. Real numbers includes both rational number and irrational numbers.
Every Real numbers can be expressed as an infinite decimal expansion. It include integers, natural numbers. Real numbers can be of positive and can be of negative numbers. Real numbers can be both a rational number or a irrational numbers. These two are the main groups of real numbers. Rational numbers can be written as the ratio of two integers. Irrational numbers cannot be written as the ratio of two integers. Irrational numbers are the type of real numbers. The real numbers has the closure property, commutative property, the associative property and the distributive property. This explains the properties of Real numbers.
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The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model for this data. Y = x + 95 according to the model, how much does the systolic blood pressure increase for each year of age? responses 1 mm hg per year 1 mm hg per year 5 mm hg per year 5 mm hg per year 15 mm hg per year 15 mm hg per year 95 mm hg per year 95 mm hg per year 110 mm hg per year 110 mm hg per year.
The true statement is that blood pressure increases by 1 mm HG per year.
In geometry, we have seen the lines drawn on the coordinate plane. To predict whether the lines are parallel or perpendicular or at any angle without using any geometrical tool, the best way to find this is by measuring the slope. In this article, we are going to discuss what a slope is, slope formula for parallel lines, perpendicular lines, slope for collinearity with many solved examples in detail.
What is a Slope?
The equation that represents the linear model is:
y =x+95
Linear regression is represented as:
y=mx+b
Where:
m represents the slope
b represents the y-intercept
By comparison, we have: m=1
This means that:
The blood pressure increases by 1 mm HG per year.
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A long year-end status report for work is 125 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.66 each.
Answer:
$18.30
Step-by-step explanation:
125 x 18 = 2250
2250/500 = 4.5 (round up to 5)
5 x 3.66 = $18.30
Under what conditions is a radical expression in simplest form?.
Algebraic expressions involving radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both).
Three conditions must be satisfied for a radical expression to be in its simplest form, that is, first, No radicands other than 1 have perfect square factors.
Secondly, there isn't a fraction in any radicand and finally, the fraction's denominator has no radicals.
A radical expression can be reduced to a simple form by first factoring it into primes, then finding the radical's index, and finally moving the group of numbers either inside or outside the radical.
The expressions both inside and outside the radical can then be made simpler by adding up all the numbers inside the radical.
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What is also called Avogadro's number?.
The numerical value of both the mole and Avagadro’s number is 6.022 x 10²³. That is why the mole is also called Avogadro's number.
The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)
So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A
atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.
We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).
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Is a triangle 180 or 360?.
Answer:
180° are triangles 360° are circles
Step-by-step explanation:
How do you multiply mixed numbers step by step?.
1: Convert the mixed number into an improper fraction.
2: Multiply the numerators and denominators of the two fractions separately.
3: Simplify by eliminating the common factors to get the lowest form of the result.
Now, According to the question:
A mixed number is a whole number and a proper fraction represented together. It generally represents a number between any two whole numbers.
For Example:
[tex]4\frac{1}{2}[/tex] and [tex]3\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] = (4 × 2 +1)/2 = 9/2
[tex]3\frac{1}{3}[/tex] = (3 × 3 + 1)/3 = 10/3
[tex]4\frac{1}{2}[/tex] × [tex]3\frac{1}{3}[/tex] = 9/2 × 10/3 = 90/6 = 15
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Rina ha been viiting the coffee hop everyday for 7 day. Each day, he pent a dollar more than he did the day before. If he tarted going to the coffee hop on Monday, pending $ 1, how much did he pend on average daily for that week?
Rina has been visiting the coffee shop every day for 7 days and he spent an average of $1 each day he visited the coffee shop during the week.
He started on Monday, spending $1, and each day he spent a dollar more than he did the day before. By the end of the week, he had spent $7. To calculate the average amount he spent each day, add up the total amount of money he spent that week and divide it by 7 (the total number of days he visited the shop).
7/7=1
In this case, the total amount of money spent was $7, so when divided by 7, the average amount spent each day is $1. Therefore, Rina spent an average of $1 each day he visited the coffee shop during the week.
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