Answer:
Step-by-step explanation:
The x -intercept is the point where y = 0 so:
7x - 5(0) = 35
x = 35/7 = 5
x-intercept is at (5, 0)
The y -intercept is the point where x = 0 so:
7(0) - 5y = 35
y = 35/-5 = -7
x-intercept is at (0, -7)
Answer:
x (5, 0)
y (7, 0)
The graph of h (x) =lx-10l+6 is shown. On which interval is the graph increasing?
(-∞,6)
( -∞,10)
(6,∞)
(10,∞)
The interval in which the graph increasing is (10,∞). The correct option is D.
What is an absolute function?The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign. Specifically, if x is a positive number,|x|=x.
In discrete mathematics, and more specifically in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.
The given absolute function is h (x) =lx-10l+6. When we plot the graph of the function it is observed that the graph is increasing from 10 to ∞. The graph is attached with the answer below.
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-1.95 = -1.7 x/0.4 two step equation with decimals
Answer:
x = 0.45882352
Step-by-step explanation:
-1.95 = -1.7 x/0.4
-1.95 = -4.25x
x = 0.45882352
Bigger cylinder has 16 litres and smaller cylinder has 2 litres and height of 10 cm.
if smaller cylinder has 10 cm ,calculate height of big cylinder.
Answer:
10cm
Step-by-step explanation:
same gghshbsbbsnsnnsbsbxbbxbdbbxbxbbdbdbdbbdbdndndnndndndnnfnfbbdhdn
Which factor are conidered when deciding how to make good and ervice? Chooe three anwer. Determining who ha the greatet need
finance of propective buyer
method traditionally ued to make good
way to produce item at a lower cot or higher quality
way to make the bigget profit
The factors considered when deciding to make a good and service are
a)Determining who has the greatest need
b)finance of prospective buyer
d) way to produce items at a lower cost or higher quality
When deciding how to make goods and services, it's important to take into consideration the needs of the customers. Identifying who has the greatest need for the product is crucial in determining how to design and produce it.
Another important factor is the cost of production, a way to produce the item at a lower cost or higher quality must be considered as it will affect the final price and the competitiveness of the product in the market.
While maximizing profit is always a goal, it should not be the only deciding factor when determining how to make goods and services, as other factors such as customer need and production cost also play important roles.
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Fawaz when hopping for a new phone ale tax where he live 9% the price of the phone i $33 find the total price including tax round to the nearet cent
The total price including tax, Fawaz has to pay is $36 round to the nearest cent.
To find the total price of the phone including tax, we need to add the tax amount to the price of the phone. The tax rate is 9%, which means that for every $1 of the price of the phone, $0.09 will be added as tax. To find the total price including tax, we can use the following formula:
Total price = Price of the phone + (Price of the phone x Tax rate)
Given the information in the problem, we know that:
Price of the phone = $33
Tax rate = 9% (expressed as a decimal)
Plugging these values into the formula, we get following equation:
Total price = $33 + ($33 x 0.09)
To solve for total price, we need to calculate ($33 x 0.09)
= $3
Total price = $33 + $3
Total price = $36
So the total price including tax, Fawaz has to pay is $36 round to the nearest cent.
In simple words, we have multiplied the price of the phone with the tax rate and then added the tax amount with the price of the phone to get the total price including tax.
Note: The tax rate is given as 9% which is equal to 0.09 in decimal form.
Therefore, The total price including tax, Fawaz has to pay is $36 round to the nearest cent.
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Total price = $33 + ($33 x 0.09)
To solve for total price, we need to calculate ($33 x 0.09)
= $3
Total price = $33 + $3
Total price = $36
So the total price including tax, Fawaz has to pay is $36 round to the nearest cent.
Select the expressions that are equivalent to 7h+6h.
Hey there!
Answer:
There isn't any options to choose from, however an equivalent expression to the given expression above would be [tex]13h[/tex].
Hope this helps! If not, comment below and lmk what else I can do to better assist you.
The graphs show how many words per minute two students read.
Drag to the table the unit rate that matches each graph.
120 words per minute
186 words per minute
185 words per minute
100 words per minute
The unit rate is 120 words per minute and 185 words per minute
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
a) For the first graph, using the points (3, 360) and (2, 240)
Unit rate = Slope = (240 - 360) / (2 - 3) = 120 words per minute
a) For the second graph, using the points (0, 0) and (1, 185)
Unit rate = Slope = (185 - 0) / (1 - 0) = 185 words per minute
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12 out of every 15 students owns a cell phone.If there are 435 students surveyed, howmany do not own a cell phone
Answer:
87 students
Step-by-step explanation:
We know
12 out of every 15 students owns a cell phone, so the ratio of student who owns cell phone is 12:3. For every 15 students, there are 12 own cellphones, and 3 do not.
To find there are 435 students surveyed, how many do not own a cell phone? We take
435 / 15 = 29
3 x 29 = 87 students
So, 87 students do not own a cellphone.
A soil sample contains 20 percent sand, 10 percent clay, and 70 percent silt. What type of soil is present in the sample?.
The type of soil present in the sample is Silty loam.
A classification tool called soil texture is used in both the field and the lab to identify different soil types based on their physical textures. Both qualitative and quantitative techniques, including the hydrometer method, can be used to determine the texture of the soil.We have silty loam present in the soil sample because it contains 20% sand, 10% clay, and 70% silt.
Silty loam is the term used to describe soil that has 20% sand, 70% silt, and 10% clay. Sandy Clay loam is a soil type that has 60% sand, 10% silt, and 30% clay.The material will be made up of 40% Silt, 30% Sand, and 30% Clay higher; muggy
Alkaline soils are common in arid climates, making the area wet and becoming more acidic as the pH value decreases.
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A coatroom in a concert hall is shown.
Find the area of the figure.
The area of the courtroom is the sum of the areas of a rectangle and a triangle equal 45 m².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
From the given diagram of the courtroom, its total area should be the sum of the area of a rectangle with a length of 9 m and width of 4 m and a triangle with a height of 3m and a base of 6 m.
Therefore,
The area of the courtroom is,
= (9×4) + (1/2)×3×6 m² [area of triangle = (1/2)×base×height, area of
rectangle is (length×width)]
= 36 + 9 m².
= 45m².
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25. Make Sense and Persevere A high school
track team's long jump record is 21 feet
2 and 1 over 4 inches. This year, Tim's best long jump is
20 feet 9 and 1 over 2 inches. If long jumps are measured to
the nearest quarter inch, how much farther must
Tim jump to break the record?
Answer:
5 in
Step-by-step explanation:
20 ft-9[tex]\frac{1}{2}[/tex] in+ 2[tex]\frac{1}{2}[/tex] in = 21 ft meaning, Tim has to jump 2[tex]\frac{1}{2}[/tex] in more inches just to get to 21 ft, then...
He needs to jump an additional 2[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] = 2[tex]\frac{2}{4}[/tex] = 2[tex]\frac{1}{2}[/tex] in to break the record. Note: he needs to jump at least [tex]\frac{1}{4}[/tex] in farther than the record because jumps only are measured to the nearest [tex]\frac{1}{4}[/tex] inch.
Therefore Tim must jump 2[tex]\frac{1}{2}[/tex] in + 2[tex]\frac{1}{2}[/tex] in = 5 in farther to break the record.
The first two numbers in a sequence a are a(1) = 3 and a(2) = 12. If a is an arithmetic sequence, write a definition for the nth term of a. Explain or show your reasoning.
The formula of the nth term in the arithmetic sequence is a(n) = 3 + (n-1)9.
An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a fixed constant, called the common difference, to the preceding term.
The sequence can be represented by the general term an = a1 + (n-1)d, where a1 is the first term and d is the common difference
In an arithmetic sequence, the difference between consecutive terms is constant. Therefore, if a(1) = 3 and a(2) = 12, the common difference (d) is 12 - 3 = 9.
The nth term of an arithmetic sequence is given by the formula:
a(n) = a(1) + (n-1)d
where:
a(n) is the nth term of the sequence
a(1) is the first term of the sequence
d is the common difference
n is the position of the term in the sequence
So, for the given sequence, the nth term a(n) of the arithmetic sequence is:
a(n) = a(1) + (n-1)d = 3 + (n-1)9
This means that the nth term of the arithmetic sequence is found by adding the common difference (9) to the first term (3), and then multiplying the result by (n-1) which indicates the position of the term in the sequence.
Therefore, a(n) = 3 + (n-1)9 is the formula of the nth term in the arithmetic sequence.
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please view the image and answer the questions.
This is College Algebra.
Step-by-step explanation:
x² - 9
1. There is no common factor other than 1.
2. √x² = x; √9 = 3
3. a = x; b = 3
4. x² - 9 = (x - 3)(x + 3)
What is the y-intercept of 2x y =- 2?.
The y - intercept of 2x + y = -2 is -2.
Given straight line is 2x + y = -2.
We know that standard slope form of straight line is y = mx + c
Now we transform given equation to standard form of straight line :
2x + y = -2y = -2 - 2xThe point at which a straight line cut the y-axis is called the y-intercept. Any point on the y-axis has a x-coordinate of zero.
Therefore, x-coordinate of y-intercept is 0.
For finding y-intercept, we can substitute x by 0 and solve for y:
y = -2 - 2x0y = -2Therefore, the y - intercept of 2x + y = -2 is -2.
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complementary angles. If mA = (8x + 5) and
ZA and ZB are
m/B = (3x + 8)°, then find the measure of ZB.
Answer:
44 degrees
Step-by-step explanation:
if it's worded the way I think. You definitely have the wording mixed up but you add both angles together and set equal to 90.
Hope it helps! :)
Please help me I am struggling
Answer: Sorry!
Step-by-step explanation:
Hello! Will you please include the instructions? If you do, I can help you!
The surface area to volume ratio for a cube is written as 6x²: x³, where x > 0. What value of x would make the ratio 1: 1?
Answer:
x = 6
Step-by-step explanation:
6x²/x³ = 1/1
6/x = 1
x = 6
How do you prove equivalents?.
Equivalent sets must have the same cardinality, i.e., n(A) = n(B) where, n(A ) and n(B) are the number of elements in set A and set B respectively.
Equivalent Sets means that there should be a one-to-one correspondence between the elements of both sets. Equal sets and equivalent sets are two different concepts. A is equivalent to B if A and B are two sets such that n(A) = n(B). This means that two equal sets are always equal, but the opposite of the same may or may not be true.
Statement: Set A and Set B are equivalent.
Proof: Let us consider two sets A and B. Let 'a' be any member of A. We need to show that "a" is also a member of B. Then let "b" be any member of B. We must show that b is also a member of A. If the members of A and B are defined by an algorithm or set of features, it must be shown that algorithms that define elements of A also define elements of B, and vice versa.
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Complete question:
How do you prove equivalent sets?
factor it pleaseeeeeeee
A factor is a number that divides exactly into another number, leaving no residue. The factors of 12, for instance, are 1, 2, 3, 4, 6, and 12. Particularly in the areas of number theory, algebra, and arithmetic, factors play a crucial role in mathematics.
What are Factors?Factors are numbers that divide into another number exactly, with no remainder.Factors are used in mathematics to find the divisibility of a number.Every number has a set of factors, including 1 and itself.The product of two factors results in the original number.Factors can be prime or composite.Factors play a significant role in number theory, algebra, and arithmetic.The number of factors of a number can be found by counting the number of divisors it has.Factors can be either positive or negative, depending on the context.In geometry, factors can be used to find the scale factor of similar figures.To learn more about factors from the given link :-
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Complete Question :
What do you mean by Factor?
Why is it called logarithm?.
The word "logarithm" is derived from the Greek meanings for "ratio" (logos) and "number" (arithmos).
In the 17th century, Scottish mathematician John Napier (1550-1617) developed logarithms as a tool for computing. He derived the phrase from the Greek words for ratio (logos) and number (arithmos).
Before mechanical (and later electronic) computers were developed, logarithms were essential for simplifying calculations in astronomy, navigation, surveying, and afterwards engineering. A logarithm is a mathematical formula that calculates how many times the base, or initial number, must be multiplied by itself to produce the target number. As a result of the relationship between logarithms and geometric progressions.
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What is 9x2 factored?.
The components of the polynomial given as 122 9z - 4 + 3 are (4 - 3). (3- 1) 122 - 92 - 4a + 3 polynomial the provided polynomial has been factored 922 think about the polynomial 12z 4a + 3.
Taking 34 common terms from the first two terms and 1 common term from the last two terms, we get 3a2(4z - 3) - 1(4* - 3) when we factorise using grouping of terms. Taking (4x-3) common once more, we have (4z - 3)(322- 1). Therefore, (4z - 3) is the factor of the provided polynomial 12a - 9z'- 42 + 3. (3r - 1).
The given polynomial, 12x3-9x2-4x+3, has the components (4x-3) (3x2) - 12x3-9x2-4x+3 polynomial the provided polynomial has been factored. The term "factor" refers to a number that, when multiplied or divided, yields a specific number. Think about the polynomial 12x3-9x2-4x+3. We'll factorise based on a collection of terms, Using the first two terms' 3x2 common value and the last two terms' -1 common value, we arrive to.
Complete question:
What is 9x2 factored?.What distinguishes the two polynomials and its conclusion?
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The expression 9x² can be factored as 3x². The expression 9x² can be factored by dividing both 9 and x² by their greatest common factor of 3.
In other words, 9x² can be written as 3 * (x²) which is equivalent to 3x². Factoring is a useful technique for simplifying expressions and solving equations, as well as for understanding the relationship between different terms in a polynomial.
By factoring an expression, we can see how it can be written as a product of simpler expressions, which can sometimes make it easier to manipulate or solve for a particular variable.
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Complete Question:
What is 9x² factored?.
What is the domain and range of the function all integer numbers?.
The greatest integer function has the domain of a set of all real numbers (R), and its range is the set of all integers (Z).
The greatest integer function gives the greatest integer, which is less than or equal to a given number. The greatest integer less than or equal to a given number x can be represented as ⌊x⌋. Mathematically, the greatest integer function ⌊x⌋ is defined as follows:
⌊x⌋ = a, where a ≤ x < a + 1 and 'a' is an integer.
The greatest integer function has the domain of the set of all real numbers (R), and its range is the set of all integers (Z).
--The given question is incorrect; the correct question is
" What is the domain and range of the greatest integer function?"--
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What are angles 3 4 5 Triangle angles?.
The 3 4 5 triangles angles are applicable for the right angle triangle.
The sum of all angles of triangle is 180 degree.
A 3 4 5 triangle is right angle triangle in which 3 and 4 is the base and perpendicular, where 5 is the hypotenuse of that triangle.
Properties of 3 4 5 triangle.
It generally used in the trigonometry to makes the trigonometric equations easy.The right angle in the 3-4-5 triangle is, of course, 90 degrees. The other two angles are always 53.13 degrees (opposite the 4 side) and 36.87 degrees (opposite the 5 side) (opposite the 3 side)Maintaining the ratios of this triangle also maintains the angles' measurements. Any triangle proportional to the 3-4-5 triangle has the same angle measurements.To Learn more about triangles visit: https://brainly.com/question/2456591
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About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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help me please. its due today. #13
Answer:
(b) Domain: all real numbers; Range: {-24}
Step-by-step explanation:
You want the domain and range of the function f(x) = -24.
DomainThe domain of the function is the set of values of x for which it is defined. The function f(x) is defined for all x, so the domain is all real numbers.
RangeThe range is the set of output values of the function. This function has only one output value: -24. The range of the function is {-24}.
If Diane can select from a list of 40 CDs, how many groups of 6 different CDs are possible
Steve bought $2,000 worth of tock in 2019. The value of the tock ha been decreaing by 10 percent each year. What will the value of the tock be in 2024? Round your anwer to the nearet dollar
The value of the stock will be $1,179.98 in 2024 (After rounding the answer off to the nearest dollar).
It is given that steve bought $2,000 worth of stocks in 2019 and its values have been decreasing by 10% each year,
So in 2020 the value will become
$(2,000-(10% of 2,000))
=$(2,000-(200))
=$1,800
in 2021,
$(1,800-(10% of 1,800))
=$(1,800-(180))
=$1,620
in 2022,
$(1,620-(10% of 1,620))
=$(1,620-(162))
=$1,458
in 2023,
$(1,458-(10% of 1,458))
=$(1,458-(145.8))
=$1,312.2
and finally in 2024,
$(1,312.2-(10% of 1,312.2))
=$(1,312.2-(131.22))
=$1,179.98
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Does a right angle always have two equal sides?.
A right angle does not always have two equal sides, only in the case of an isosceles triangle it will have two equal sides.
A triangle is said to have a right angle if one of the angles is 90 degrees. Right triangles are those having angles at 90 degrees, which are referred to as right angles.
The Pythagorean rule may be used to understand the relationship between the different sides of this triangle. The biggest side, also known as the hypotenuse, is the side that forms the right angle.
The right triangles are further divided into isosceles and scalene right triangles based on the other angle values.
Thus, A right angle does not always have two equal sides, only in the case of an isosceles triangle it will have two equal sides.
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Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
The statements about his solution that are true include:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500
How to illustrate the word problem?From the information, Josiah kept track of how many songs of each genre were played in an hour from his MP3 player and the counts are displayed in the table below.
In this case, it should be noted that he should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
In this case, the correct options are 1, 2 and 5.
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What function models the height of the periscope lens at time (variable it t)? If the periscope reaches its maximum height after ascending for 22 seconds, what is the maximum height?
The answer is:
The height function modeled by the periscope is h(t) = 24 + 6 × t.The maximum height is 156 inches.The given parameters are:
Start = 24 inches
Rate = 6 inches/second
The function model of the height is determined using a linear function:
h(t) = Start + Rate × t
Where: t represents the time in seconds
So, we have:
h(t) = 24 + 6 × t
This gives
h(t) = 24 + 6t
After 22 seconds, the height of the periscope will be
h(22) = 24 + 6 × 22
Multiply
h(22) = 24 + 132
Add
h(22) = 156
Hence, the maximum height is 156 inches.
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The complete question is:
what function models the height of the periscope lens at time t? If the periscope reaches its maximum height after ascending for 22 seconds, what is the maximum height in feet? ( 24 inches above the surface and ascends at 6 inches per sec.)