The algebraic expression 5xy has three factors: the number 5 and the variables x and y. Factors are the multiplicative components of an expression, and factoring involves breaking down expressions into these components.
The algebraic expression 5xy has three factors: the number 5, the variable x, and the variable y. A factor is a number, variable, or a product/quotient of numbers and/or variables separated by + or - signs.
When we are factoring, we are essentially reversing the distributive law and turning the expression into its multiple components, which can also be termed as factors or multiples. For instance, expressions like 5px, 5py, or similar expressions are all made up of factors that, when multiplied together, produce the value of the expression.
When addressing expressions that can be factored, such as ax² +2hxy+by² = 0, we look for expressions that, when evaluated, produce the same value. In this particular example, it can be factored into two linear factors and represents two straight lines intersecting at the origin.
Answer:
The algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
Explanation:
The algebraic expression [tex]\(5xy\)[/tex] can be factored as [tex]\(5 \times x \times y\)[/tex]. To find the number of factors, we count all the unique combinations of its prime factors:
- For the factor [tex]\(5\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(5\) or \(1\).[/tex]
- For the factor [tex]\(x\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(x\) or \(1\).[/tex]
- For the factor [tex]\(y\)[/tex], we have [tex]\(2\)[/tex] options: [tex]\(y\) or \(1\).[/tex]
Therefore, the total number of factors is the product of the options for each factor, which is [tex]\(2 \times 2 \times 2 = 8\)[/tex]. So, the algebraic expression [tex]\(5xy\)[/tex] has [tex]\(8\)[/tex] factors.
If you work 52 weeks out of the year and 40 hours a week how many hours would you work in one year
A games console costs £100
The cost is increased by 20%
The new cost is decreased by 20%
Which of the following is true?
[1 mark]
- The final cost of the console is less than the original cost
- The final cost of the console is the same as the original cost
- The final cost of the console is more than the original cost
What is the measure of angle x, In degrees?
Helps please!!
Answer:
40° is the right answer for apex learners
how do you work out px+py=a?
Solve the proportion. 2/8 = -30/x
The solution to the proportion 2/8 = -30/x is x = -120, found by cross multiplying and simplifying the resulting equation.
To solve the proportion 2/8 = -30/x, we will cross multiply to find the value of x. After cross multiplying, we obtain 2x = -30 imes 8. Simplifying this gives us 2x = -240, and dividing both sides by 2 yields x = -120. So the solution to the proportion is x = -120.
what is the measure of
Which of the following products represents 6 1/2% tax, in dollars, on a price of $14.29? a. (0.00675)(14.29) b. (0.0675)(14.29) c. (0.675)(14.29) d. (6.75)(14.29)
Answer:
B
Step-by-step explanation:
6 3/4% tax
Ray divides ∠COA into two angles of what measure?
20
30
40
35
Answer:
20
Step-by-step explanation:
PLEASE HELP!
Solve for x.
x/3≤−6
A) x≤−18
B) x≤−2
C) x≥−2
D) x≥−18
Find the value of x or y so that the line through the points has the given slope of (x, -8) and (-7,5); slope: -13/7
The required value of x is 112/13 which line through the points has the given slope of (x, -8) and (-7,5).
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have been given two points :(x, -8) and (-7,5)
As per the line of slope,
m = (y₂ - y₁)/(x₂ -x₁ )
Here
x₁ = x, y₁ = 8
x₂ = -7, y₂ = 5
Substitute values in the above formula
-13/7 = (5 - 8)/(-7 - x )
-13/7 = -3/(-7 - x )
-13(-7 - x ) = -21
91 + 13x = -21
13x = -21 - 91
13x = 112
x = 112/13
Therefore, the required value of x is 112/13.
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Cube root of 0.000064
The coordinates of point t are (0,4). the midpoint of st is (3,−2). find the coordinates of point s.
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, then angle B measures
25
64
65
The requried measure of angle B is 25 degrees. Option A is correct.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Let A be one of the acute angles of the right triangle. Then, we have:
tan(A) = opposite/adjacent
Given that the tangent of angle A is 2.1445, we can write:
2.1445 = opposite/adjacent
Since angle B is also an acute angle of the same right triangle, we have:
tan(B) = opposite/adjacent
But since the sum of the angles of any triangle is 180 degrees, and one of the angles in this triangle is a right angle (90 degrees), we have:
A + B + 90 = 180
B = 90 - A
Substituting the expression for B into the equation for the tangent of angle B, we get:
tan(90 - A) = opposite/adjacent
tan(90 - A) = (1/tan(A)) x adjacent/opposite
tan(90 - A) = (1/2.1445) x adjacent/opposite
tan(90 - A) = 0.466
Taking the inverse tangent of both sides, we get:
90 - A = tan⁻¹0.466)
90 - A = 25.38
A = 90 - 25.38
A = 64.62
Therefore, the measure of angle B is,
B = 90 - A
= 90 - 64.62 = 25.38 degrees
Thus, the requried measure of angle B is 25 degrees.
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Eight plus the quotient of a number and 3 is -2
Which equation is NOT an example of a linear function? A) y = 9 - 2x B) y = 6/x C) y = x/2 + 9 D) y = 5/6 x - 8
What is the next term in the sequence? 44, 22, 11, 5.5...
Find three solutions of the equation (x^2-9)(x^3-8)=0
What happens to light energy from the Sun when it reaches the surface of Earth?
A.
The light energy is multiplied when it reaches the plants on Earth.
B.
The light energy is destroyed when plants are eaten by herbivores.
C.
The light energy is transformed to chemical energy by photosynthesis.
D.
The light energy is converted to potential energy by cellular respiration.
The running aces card team won $548 playing in poker tournaments last year. the winnings were split evenly among the p players. how much of money did each player receive?
Answer:
Each player received 548/p dollars.
A forest owned by the Jumbo Lumber Corporation contains 7,054 trees. If Jumbo Lumber cuts down 37 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
Answer:
n(t)= 7,054 - 37t
Step-by-step explanation:
Plz help with my gasoline question that I just put its due tomorrow!!?? it's number 7
Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.
The limit as x approaches zero of the function (-6 + x)/x^4 is 0. This is arrived at using L'Hopital's Rule, which instructs us to take the limits of the derivatives of the numerator and denominator when the initial function limit causes an indeterminate form (0/0, infinity/infinity).
Explanation:The limit of the function negative six plus x divided by x to the fourth power as x approaches zero cannot be solved using traditional limit computations as it creates indeterminate form. However, the L'Hôpital's rule
Rule can be used to determine this limit.
Under L'Hôpital's rule
rule, to solve for the limit of a function that results in an indeterminate form 0/0 or infinity/infinity, you take the derivative of the numerator and the derivative of the denominator independently, and then find the limit of that quotient as x approaches the given value.
In this case, the function is (-6+x)/x4. The derivative of -6+x is 1 and the derivative of x4 is 4x3. Therefore, after the first iteration of L'Hopital's rule, you are finding the limit as x approaches zero of 1/(4x3). Running the rule again we get 0/(12x2). Clearly there, the numerator is 0 and since x2 will be a non-negative number the limit would be 0. Hence, the limit of the function as x approaches zero is 0.
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Relationship a has a greater rate than relationship
b. this table represents relationship
b. hours worked 2 4 5 8 amount paid 30.40 60.80 76 121.60 which equation could represent relationship a? select each correct answer. y = 14.9x y = 16.4x y = 15.4x y = 15.2x
The required equation is y = 15.2x which could represent relationship A.
which is the correct answer would be an option (B).
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
We have been given that relationship A has a greater rate than relationship B.
Hours Worked Amount Paid
2 30.4
4 60.8
5 76
8 121.60
Let the number of hours worked x and the total amount paid y.
As per the given functions
⇒ y = 15.4x ...(i)
⇒ y = 15.2x ...(ii)
⇒ y = 16.4x ...(iii)
⇒ y = 14.9x ...(iv)
As per the linear function (ii),
⇒ y = 15.2×2
⇒ y = 30.4
The above is satisfy the point, therefore, it represents relationship A
Hence, the required equation is y = 15.2x which could represent relationship A.
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Chan Hee bought 3.4 pounds of coffee that cost $6.95 per pound. How much money did he spend on coffee?
Esin started a T-shirt-printing business. She spent $2500 to purchase supplies to get started and she uses about $4.50 worth of supplies per T-shirt printed. Esin charges $25 for each T-shirt. Let s represent the number of T-shirts.
What is the minimum number of T-shirts Esin will need to sell to make a profit?
4.5s≥2500+25s
4.5s>2500+25s
25s<2500+4.5s
25s>2500+4.5s
A fair coin is tossed 10000 times the odds of getting exactly 5000 heads is closest to
Answer:
5000 tails there are only two sides on coin
Step-by-step explanation:
plz help me with number 9
and show work so i can understand thx
I think the answer is C, since it is measured to 2 decimal places
Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?
Answer:
4 inches is the edge length of the container.
Step-by-step explanation:
Length of the small cubes = a = 1 inch
Volume occupied each small cube = v = [tex]a^3=(1 inch )^3= 1 inches^3[/tex]
Length of the big cube = A
Volume of the big cube = V
[tex]V=A^3[/tex]
He uses 64 cubes with side lengths of 1 inch to completely fill the container.
[tex]V=64\times v=64\times 1 inches^3[/tex]
[tex]A^3=64\times 1 inch^3[/tex]
A = 4 inch
4 inches is the edge length of the container.
The township of Brock is growing at a rate of 6.5% per annum. How many people are there in Brock township now, if there will be 15000 in 4.5 years?
Find the standard form of the equation of the circle with endpoints of a diameter at the points