Answer:
[tex]-1[/tex]
Step-by-step explanation:
Using the graph, when the input, [tex]x[/tex], is 0, the output, [tex]y[/tex] is [tex]-1[/tex].
Answer:
The output is - 1 when the input is 0.-----------------------------
Find the line with the given points (-2, -2) and (2, 0).
Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(2 + 2) = 2/4 = 1/2Use point-slope equation and one of the points:
y - y₁ = m(x - x₁) y - (-2) = 1/2(x - (-2))y + 2 = 1/2(x + 2)When x = 0, the output is:
y + 2 = 1/2(0 + 2)y + 2 = 1/2(2)y + 2 = 1y = 1 - 2y = - 1How is a fraction related to its simplified form?
A) The simplified fraction is the square root of the original fraction.
B) The original fraction is larger in value than the simplified one.
C) The simplified fraction is half the value of the original fraction.
D) The simplified fraction and the original fraction have the same value
The simplified fraction and the original fraction have the same value. Option D is correct.
Given that,
To justify, how is a fraction related to its simplified form.
Fraction is defined as the number of compositions that constitute the Whole.
Here,
The value of the fraction does not change when it is brought into a simplified form.
Thus, the simplified fraction and the original fraction have the same value. Option D is correct.
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Which function has a greater y-intercept?
Answer:
Step-by-step explanation:ask a pro
The graph of an exponential function passes through (2,100) and (4,2500). Find the function that describes the graph
Step-by-step explanation:
Form of an exponential function is
[tex]y = a \times b {}^{x} [/tex]
where a is the initial value, and b is the rate of growth
We know that when x=2
[tex]100 = a \times b {}^{2} [/tex]
when x=4
[tex]2500 = a \times b {}^{4} [/tex]
If we divide these two quantities we would get
[tex]25 = b {}^{2} [/tex]
[tex]b = 5[/tex]
So our rate of common growth is 5,
so b=5
[tex]y = a \times 5 {}^{x} [/tex]
We need to find the initial value, this means we solve for a.
[tex]100 = a \times 5 {}^{2} [/tex]
[tex]100 = a \times 25[/tex]
[tex]4 = a[/tex]
So our equation is
[tex]y = 4(5) {}^{x} [/tex]
or
[tex]y = 4 \times 5 {}^{x} [/tex]
The function f(x) is graphed below. How many points on the graph represent a relative minimum? PLEASE need help i don't understand. Need help NOWWW!!!
The relative minimum from the given graph is located at d.
Given that, the function [tex]f(x)[/tex] is graphed below.
What are relative minimum and maximum?A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph). Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).
A relative minimum of a function is all the points x, in the domain of the function, such that it is the smallest value for some neighborhood. These are points in which the first derivative is 0 or it does not exist.
From the given graph, point d is a relative minimum.
Hence, the relative minimum from the given graph is located at d.
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Write the domain and range for the following functions using interval notation, inequality notation, and set builder notation
Domains
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Domain:
Interval Notation:
Inequality Notation:
Set Builder Notation:
Range:
Interval Notation:
Inequality Notation:
Set Builder Notation:
The domain and the range for each function, considering the three notations, are given as follows:
1.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}2.
Domain:
Interval Notation: (-∞, ∞).Inequality Notation: All real numbers.Set Builder Notation: {x | x ∈ R}.Range:
Interval Notation: [-4, ∞).Inequality Notation: y >= -4.Set Builder Notation: {y | y >= -4}How to obtain the domain and the range of a function?The domain of a function is the set containing all the input values of a function, hence on the graph it is given by the values of x for which the function is defined.
The range of a function is the set containing all the output values of a function, hence on the graph it is given by the values of y which the function assumes.
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TYPING Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.
The linear equation that represents the number of words Nebi types per minutes after the timer is started is: w = 50m + 250.
How to Write a Linear Equation?Linear equation can be written in the slope-intercept form as y = kx + b. To write this, find the values of the slope = m, and the y-intercept of starting value = b.
From the equation given, find the unit rate/slope, which is the number of words typed in one minute.
Thus, we have:
Slope/unit rate (m) = 150/3
m = 50 words per minute.
The y-intercept (b) is 250, because it is the initial/starting value.
Let w represent the total number of words, and m represents the minutes after the starting time.
To write the linear equation, substitute k = 50 and b = 250 into w = km + b:
w = 50m + 250
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Fill in the blanks below.
Find the slope of the line passing through the points (-6, 3) and (-6, -8).
slope:
Find the slope of the line passing through the points (-3, -6) and (8,-6).
slope:
The slope of the lines are -2/9 and 14/3.Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.
How do you determine a line's slope?Determine the coordinates of two points along the line that you choose.Find the difference between these two points' y-coordinates (rise).Find the difference between these two points' x-coordinates (run).Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope of the lines are -2/9 and 14/3., is m=(y2-y1)/(x2-x1).Explanation:
m = (-8 - -6)/(3 - -6)
= -2/9.
m = (-6 - 8)/(-6 - -3)
= -14/-3 = 14/3.
The slope of the lines are -2/9 and 14/3.
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In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball? [tex]help\\[/tex]
Answer:
?? There are 27 students!
11+13 = 24 students play those sports
How can there be 5 students who play neither sport! I'm kind of confused!
Step-by-step explanation:
Answer:
22 / 27
Step-by-step explanation:
See Venn diagarm below
You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also
have 65% alcohol mixture. How much of the 65% mixture will you need to add to obtain the desired
solution?
You will need____
mL of the 65% solution
As per the concept of unitary method, there are 180.8 ml of the 65% mixture will you need to add to obtain the desired solution
Unitary method:
Basically, the way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
Given,
You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also have 65% alcohol mixture.
Here we need to find how much of the 65% mixture will you need to add to obtain the desired solution.
Let us consider x be the amount of the 65% alcohol needed (in milliliters.
Here the amount of the resulting 65% alcohol solution will be is (x+15) milliliters.
So, the amount of the "pure" alcohol in 300 mL of the 20% alcohol solution is written as,
=> 0.20 x 300 mL.
And the amount of the "pure" alcohol in x mL of the 65% alcohol solution is written as,
=> 0.65 * x mL.
Therefore, the total amount of the "pure" alcohol in ingredients is the sum and it can be calculated as,
=> 0.20*300 + 0.65*x mL.
So, it should be equal to the amount of the "pure" alcohol in the mixture, which is written as,
=> 0.35 * (x+15) ml.
Therefore, your "pure alcohol" equation is
=> 0.65* x + 0.20 * 300 = 0.35*(x+15).
When we simplify this one then we get the value of x as,
=> 0.65* x + 0.20 * 300 = 0.35*(x+15).
=> 0.65x + 60 = 0.35x + 5.25
=> 0.3x + 54.25
=> x = 180.8
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A student solved the equation and determined that the solution was -2. Find the error and correct it. 1.5x-2=-2+1.5x -2=-2
The student solved the equation and determined that the solution was -2. This is wrong as the solution is 0.
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
This will be illustrated as:
1.5x - 2 = -2
Collect like terms
1.5x = - 2 + 2
1.5x = 0
Divide
x = 0/1.5
x = 0.
Therefore, the student is wrong.
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Answer the questions below about the following function
f(x) =log₄(x)
what is the domain of f(x)
what is the range of f(x)
what is the x-intercept of f(x)? enter your answer as an ordered pair. if no x-intercept exists, enter none
what it the equation of the vertical asymptote
The product of two factors is 1. One of the factors is 1. Can you tell what the other factor is?
A. Yes; the other factor is 0 since 0 × 1 = 1.
B. Yes; the other factor is 1 since 1 × 1 = 1.
C. No; any number times 0 is 0, so there is no way to know what the other factor is.
D. No; any number times 1 is 1, so there is no way to know what the other factor is.
Answer:
The correct answer is: B. Yes; the other factor is 1 since 1 × 1 = 1.
Step-by-step explanation:
CAN SOMEONE HELP WITH THIS QUESTION?✨
As per the given angle of elevation, the height of the building is 368.5 ft.
Angle of elevation:
Basically, an angle between the horizontal plane and line of sight from the observer's eye to some object above is known as angle of elevation.
Given,
The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building.
Here we need to find the height of the building and round to the tenths.
Here we know that the angle of elevation of the building in New York is written as,
=> θ = 2°
And the distance of observation point from the building is given as,
=> l = 2 miles
Here we know that, 1 miles = 5280 feet
So, the value of l in feet is,
=> l = 2 x 5280
=> l = 10560
Now, it is required to calculate the height of the building. Use the concept of trigonometry to find the height,
So, the height is calculated as,
=> tan θ =h/l
Apply the values on the formula, then we get,
=> tan 2° = h/10560
=> 0.0349 = h/10560
=> h = 0.0349 x 10560
=> h = 368.5 feet.
Therefore, the height of the building is 368.5 ft.
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Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
The constant of proportionality in both situations is 4.5
Constant of ProportionalityThe constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
The equation of constant of proportionality is given as
y = kx
k = constant of proportionalityLet's take the variable and substitute them
18 = k(4)
k = 18 / 4
k = 4.5
The constant is 4.5
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Can someone solve these math problems for me? (No explanation needed)
2/3 x (-4/5)
(-5/7) x (7/5)
(-2/39) x 39
(2/5) x (-3/4)
Answer:
do the brackets first the solve the division then multiply both
Derek is writing an essay for school, He writes 1/6 page in 1/12 of an hour. How much can he write in one hour
The required number of papers he can write in one hour is 2 pages.
Given that,
Derek is writing an essay for school, He writes 1/6 page in 1/12 of an hour.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Number of pages written = 1/6
Time = 1/12
Rate = 1/6 / [1 / 12]
Rate = 1/6 × 12 / 1
Rate = 2 pages per hour
Thus, the required number of papers he can write in one hour is 2 pages.
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Mr. Perez bought a living room showcase listed at 150,580 Pesos but discounted into 127,993 pesos. What was the rate of the discount?
Step-by-step explanation:
Mr. Perez bought a living room showcase listed at 150,580 Pesos but discounted into 127,993 pesos. What was the rate of the discount?
(150,580 - 127,993) / 150,580 = 15%
Quinn makes pies at her bakery. She can make 6 pies with 4 cups of sugar. How
much sugar will she need to make 18 pies?
Answer:
She can make 12 cups of sugar for 18 pies
Step-by-step explanation:because 6x3=18 so you multiply 4x3 to get 12, she need 12 cups of sugar for 18 pies or 18 pies with 6 cups of sugar
Tell me if it is wrong in the comment
Thank you.
Solve the inequality
Answer: None of these
Step-by-step explanation:
[tex]3^x+2 > -1\\\\3^x > -3\\\\3^x \geq 0 \forall x \in \mathbb{R} \implies x \in (-\infty, \infty)[/tex]
please help due tomorrow NO SILLY ANSWERS
Answer:
20-29 songs
Step-by-step explanation:
Artists with 20-29 songs had the highest total number of people in the crowd.
What is the correct answer to this question?
In accordance with Pythagorean theorem, no point is 4 units away from point M.
What point is 4 units away from point M?
In this problem we find the coordinates of points A, B, C, whose coordinates are (- 4, 2), (2, 7) and (8, - 6), respectively, and the location of point M, whose coordinates are (- 4, - 6), all set on Cartesian plane. We need to determine if at least one of those three points (A, B, C) are four units away from point M. This can be checked by means of Pythagorean theorem:
AM = √[(- 4 - 2)² + [- 6 - (- 4)]²]
AM = √[(- 6)² + (- 2)²]
AM = 2√10 = √40
BM = √[(- 4 - 2)² + (- 6 - 7)²]
BM = √[(- 6)² + (- 13)²]
BM = √205
CM = √[(- 6 - 8)² + [- 4 - (- 6)]²]
CM = √[(- 14)² + 2²]
CM = 10√2 = √200
There is no point that is four units away from point M.
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What is a formula for the nth term of the given sequence?
80, 100, 125
[tex]a_n=80\left(\frac{5}{4}\right)^{n-1}[/tex]is the formula for the nth term of the given sequence.
What is sequence?
In mathematics, a sequence is a list of components, usually numbers, where the components' order is important.
Here, everything fits into a predetermined pattern. In real life, we encounter sequences frequently.
Sequences include things like house numbers in a row, income increases over time (by a set dollar amount or percentage), book pages, etc.
A list of numbers (or other components) that follow a specific pattern is called a sequence.
Olivia, for instance, has been given a job with a starting monthly pay of $1,000 and a $500 annual raise.
Are you able to determine her monthly pay for the first three years? $1000, $1500, and $2000 will be the amounts.
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What is the approximate area of a circle with radius 6 cm?
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
Solve the formula for the variable h.
f=9gh
Answer:
[tex]h=\frac{f}{9g}[/tex]
Step-by-step explanation:
Divide both sides by [tex]9g[/tex].
Which of the following is a factor of 24x^6 - 1029y^3?
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
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Connor has already written 15 pages of his new young adult novel and he will write more today. He expects to write 2.5 pages per hour
Write an equation that shows the relationship between the number of hours Connor spends writing today,X, and the total number of pages, y.
The required equation is y = 2.5x + 15 which shows the relationship between the number of hours Connor spends writing today,X, and the total number of pages.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Connor has already written 15 pages of his new young adult novel and he will write more today. He expects to write 2.5 pages per hour
Let x represents the number of hours Connor spends writing today and y represents the total number of pages,
According to the given situation, we can write the equation as:
⇒ y = 2.5x + 15
Therefore, the required equation is y = 2.5x + 15.
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Please help me!!!!!!!!
Answer & Step-by-step explanation:
This question is just a matter of reading the graph correctly. There is really no explanation for this question. But I'll try my best.
1997 for age 65 or older
Bachelor's degree or higher: The yellow bar starts at 75% and ends at 100%
To find how much percent of people 65 or older had a bachelor's degree in 1997, you subtract...100-75 = 25%
College/associate degree: 75 - 54 = 21%
High school graduates: 54 - 22 = 32%
Less than a High school diploma: 22 - 0 = 22%
Total: 25+21+32+22 = 100%
2007 for age 65 or older
Bachelor's degree or higher: 100 - 69 = 31%
College/associate degree: 69 - 46 = 23%
High school graduates: 46 - 13 = 33%
Less than a High school diploma: 13 - 0 = 13%
Total: 31+23+33+13 = 100%
Hope this helped :)
-2.1666666666666665
as a fraction
Mr. Jackson was born on January 1, 1970. His daughter Lea was born on
January 1, 1992. In what year was Mr. Jackson exactly three times as old
as Lea?
2003 - Lea would be 11, and as there is 22 years between them Mr Jackson would be 33, which is 11 X 3.
Suppose your friend says he can solve the equation 15-(2x+6)=1/2(7x-4) by first using the multiplication property of equality to multiply each side of the equation by 2. Is he correct?
