the domain of f(x) = -3x is (0, 1, 2). State the range of f (x) using set notation
The range of the function f (x) = -3x are (0, -3, 6).
What is Domain?
The set of all inputs of the function is called Domain of set.
Given that;
The domain of f(x) = -3x is (0, 1, 2).
Now, Domain of the function are the values of x.
So, We find the Range of the function as;
Substitute all the values of domain (x) in the given function as;
The function is;
f (x) = -3x
For x = 0
Range = f (x) = - 3 × 0 = 0
For x = 1;
Range = f (x) = - 3 × 1 = -3
For x = 2
Range = f (x) = 3 × 2 = 6
Thus, Range of the function are (0, -3, 6)
Therefore, The range of the function f (x) = -3x are (0, -3, 6).
Learn more about the range visit:
brainly.com/question/25962668
#SPJ1
HELP PLS Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.
Answer:
{-4; -5}
Step-by-step explanation:
just put any integer from set S in place of p and you will know. the inequality is false with -2 and -3, but with other two numbers is true
What is transitive property/
How do u distributive property to find the product 27x34=27x(30+4)
The distributive property for the product of 27x34 will give a value of 918.
What is distributive property?It should be noted that distributive property simply means that one can distribute the contents of the parentheses into the other so that one can get the answer.
The distributive property is illustrated as:
a × (b + c) = a×b + a×c
In this case, using distributive property to find the product 27x34 will be:
=27x(30+4)
= 27 × 30 + 27 × 4
= 810 + 108
= 918
Learn more about distributive property on:
brainly.com/question/4077386
#SPJ1
In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the plate is 22 cm, determine the central anglenecessary to create a sector with an area of 220 cm². Round to nearest thousandth if necessary.
STEP 1
Interpret question to make sense geometrically.
We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.
Note that this is a fraction of the total area of the circle.
This will be illustrated diagrammatically below
Area of a sector is given as:
[tex]\begin{gathered} \frac{\theta}{360}\times\pi(\frac{d^2}{4}) \\ \text{The question requires us to get the angle }\theta\text{ after equationg the expression to 220 sq cm} \end{gathered}[/tex]STEP 2
Find unknown
[tex]\begin{gathered} \text{Making }\theta\text{ the subject of the formulae gives} \\ \theta=\frac{220\times360\times4}{\pi\times22^2}=208.348^o \end{gathered}[/tex]The ci
What are the y-intercept and the horizontal asymptote of g(x) = 7x + 2?
(0, 3) ; y = 2
(0, 4) ; y = 7
(0, 7) ; y = 2
(0, 9) ; y = 7
The y-intercept and the horizontal asymptote of g(x) = 7ˣ + 2 is (a) (0, 3) ; y = 2
How to determine the y-intercept?The equation of the function is given as
g(x) = 7ˣ + 2
To calculate the y-intercept, we set x = 0
So, we have
g(0) = 7⁰ + 2
Evaluate the exponent
g(0) = 1 + 2
Evaluate the sum
g(0) = 3
So, we have
(x, y) = (0, 3)
How to determine the horizontal asymptote?The equation of the function is given as
g(x) = 7ˣ + 2
To calculate the horizontal asymptote, we set 7ˣ
So, we have
y = 0 + 2
Evaluate the sum
y = 2
Hence, the solution is (a) (0, 3) ; y = 2
Read more about y-intercept at
https://brainly.com/question/15709421
#SPJ1
The required y-intercept of the given function is (0,3) and the horizontal asymptote is y = 2.
What is an asymptote?Asymptote is the line on the curve that does not intersect the curve but passes as near to the maximum and minimum of the graph.
Here,
The y-intercept of the given function is evaluated as put the x coordinate to zero,
So,
g(0) = 1 + 2
g(0) = 3
Now, the horizontal asymptote is a line that passes near to the line but does not intersect with the curve,
So,
Terminating the x compositon of the function 7ˣ = 0 the rest will be the horizontal asymptote,
y = 7ˣ + 2
y = 0 + 2
y = 2
Thus, the required y-intercept of the given function is (0,3) and the horizontal asymptote is y = 2.
learn more about asymptote here:
https://brainly.com/question/4084552
#SPJ1
Does anyone know the answers to this problem?
The cups of sugar needed is 2.5 cups.
The cups of flour needed is 3.75 cups
The cups of butter needed is 1.25 cups.
How much sugar, flour and butter is needed?Given the information in the question, the ratio of sugar to flour to butter is 1 : 1.5 : 0.5
Cups of sugar needed = (ratio representing sugar / sum of ratios) x total number of cups
Sum of ratios = 1 + 1.5 + 0.5 = 3
Cups of sugar needed = (1 / 3) x 7.5 = 2.5 cups
Cups of flour needed = (ratio representing flour / sum of ratios) x total number of cups
Cups of flour needed = (1.5 / 3) x 7.5 = 3.75 cups
Cups of butter needed = (ratio representing butter / sum of ratios) x total number of cups
Cups of butter needed = (0.5 / 3) x 7.5 = 1.25 cups
To learn more about ratios, please check: https://brainly.com/question/19910662
#SPJ1
ANSWER FOR BRAINLIST HELP PLOT THE POINTS BTW
Answer:
Plot the point (6, 2). From there, move 3 units up and then 4 units to the left. You will be at (2, 5). Plot that point, and then draw a line through (6, 2) and (2, 5).
NEED HELP ASAP - 100 Points (Algebra 2 - Complex Numbers)
Every complex number has the form a+bi with a and b as real numbers. Is it possible to create a complex number in which b=0? If so, create two examples to show your hypothesis is true. If not, explain why it is not possible.
Your response must be at least 50 words.
It is not possible to create a complex number in which b = 0, as it would be equivalent to a real number.
Complex numbersThe general format of a complex number is given as follows:
z = a + bi.
The meaning of the parameters a and b are given as follows:
a is the real component of the number.b is the imaginary component of the number.If the coefficient b has a value of zero, then the complex number is written as follows:
z = a + 0i.
z = a.
Which is equivalent to a real number, that is, the number would have only a real component, hence it is not possible to find an imaginary number with b = 0.
Basically, any real number can be represented as a complex number with imaginary part 0, but then the number would not be complex.
More can be learned about complex numbers at https://brainly.com/question/10662770
#SPJ1
A number, m, rounded to 1 d.p. is 48.2 Another number, n, rounded to 1 d.p. is 6.7 What are the lower and upper bounds of m - n?
The corresponding values of the lower and upper bounds of m - n are 41.41 and 41.59.
What are the values of the lower and upper bounds of m - n?
Upper and lower bounds are the possible maximum and minimum values of a number before it was rounded.
The upper and lower bounds can be expressed using the error interval
The lowest value of m is 48.15
The highest value of m is 48.24
The lowest value of n is 6.65
The highest value of n is 6.74
Therefore, lower bound of m - n = 48.15 - 6.74 = 41.41
Also, the upper bound of m - n = 48.24 - 6.65 = 41.59
So values of the lower and upper bounds of m - n are 41.41 and 41.59 respectively.
Learn more about lower and upper bounds on:
https://brainly.com/question/28154881
#SPJ1
Multiply 3.7x and 6x.
09.7x
09.7x²
O 22.2x
22.2x²
HELP ASAP
The product of 3.7x x 6x = (3.7 x 6) x (x x x) = 22.2x².
In mathematics, a product is the outcome of multiplication or an expression that specifies the factors to be multiplied.The outcome of multiplying two or more numbers is known as the product of those numbers, and the numbers that are multiplied are referred to as the factors.What is Multiplication?For whole numbers, multiplication can be used as counting objects arranged in a rectangle or as calculating the area of a rectangle whose sides have a certain length. Because of the commutative principle, a rectangle's area is independent of which side is measured first.A new kind of measurement is the sum of two measures. For instance, the area of a rectangle can be calculated by multiplying the lengths of its two sides. An analysis of this product's dimensions is performed.One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.Multiply in mathematics refers to the continual addition of sets of identical sizes.To learn more about Multiplication, refer to:
https://brainly.com/question/24327297
#SPJ13
when a cold drink is taken from a refrigerator, its temperature is 5°c. after 25 minutes in a 20°c room its temperature has increased to 10°c. (round your answers to two decimal places.) (a) what is the temperature of the drink after 55 minutes? °c (b) when will its temperature be 13°c? min
use the cross multiplication method :)
Can someone help me answer the top one?
When the spacecraft launched, it was 254 miles away from the Earth and its distance away from the Earth is increasing at a rate of 270 miles per hour.
How do we interpret the linear equation?The equation that represents the distance of the space craft is known as a linear equation. A linear equation is an equation that has only one variable that is raised to the power of one.
A linear equation increases or decreases at a constant rate. When drawn on a graph, a linear equation is a straight curve that slopes either upward or downward.
A linear equation usually has this form y = mx + b
Where:
m = slope b = interceptD = 254 + 270t
Where:
254 = intercept = initial distance from the Earth270 = slope = change in the speed of the spacecraft per hourTo learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?
27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.
As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,
The total height = distance between pool surface to platform + the depth of the pool
∵ The total height = 15 ft. + 12 ft.= 27 ft.
To know more about height and distance visit,
https://brainly.com/question/15939509?referrer=searchResults
#SPJ9
When given a sample set with a variance of n (a number), how would you estimate the range?
Simply subtract the lowest value from the highest value in the data set to determine the range.
Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum). The data points between the distribution's two extremes are not taken into account by the range; just these two values are.
Because of its sensitivity to extreme values, it is frequently employed as a supplement to other measures of dispersion rather than as the single measure.
To help find the quartiles for bigger data sets, you can utilise the cumulative relative frequency distribution or, even better, the fundamental statistics algorithms found in spreadsheets or statistical applications that provide results more quickly.
To know more about sample variance refer to the given link:
https://brainly.com/question/28213657?referrer=searchResults
#SPJ1
Part III: Verify that
f(g(x)) = F(x)
f(g(x)) = √3x - 4
(2 points)
they seem to be right :p
Step-by-step explanation:
If p (x) is a polynomial of degree 3 with p(0) = p(1) = p(-1) = 0 and p(2) = 6, then
a show that p(-x) = -p (x).
b find the interval in which p(x) is less than zero.
Answer:
p(x) is a function, and a polynomial of degree 3, then
By remainder theorem and factor theorem,
p(0) = p(1) = p (-1) = 0 if and only if
x = 0, 1, -1 are zeroes if and only if
p(x) = k(x - 0)(x - 1)(x + 1) = k(x)(x^2 - 1) = k(x^3 - x) = kx^3 - kx
p(2) = k(2)^3 - k(2) = 6
8k - 2k = 6
6k = 6
k = 1
Thus p(x) = x(x - 1)(x + 1) = x(x^2 - 1) = x^3 - x
p(-x) = (-x)^3 - (-x) = x^3 + x
-p(x) = -(x^3 - x) = -x^3 + x
As you can see, p(x) does not equal to -p(x), unless x = 0, 1, -1,
because p(0) = -p(0) = 0, p(-1) = - p(1) = 0, p(1) = -p(-1) = 0
p(x) = x(x - 1)(x + 1)
If x < -1, then x < 0, x - 1 < 0, x + 1 < 0
That means p(x) < 0
If -1 < x < 0, then x < 0, -2 < x - 1 < -1 < 0, 0 < x + 1 < 1
That means p(x) > 0
If 0 < x < 1, then x > 0, -1 < x - 1 < 0, 0 < 1 < x + 1 < 2
That means p(x) < 0
If x > 1, then x > 0, x - 1 > 0, x + 1 > 2 > 0
That means p(x) > 0
Thus p(x) < 0 if x < -1 or 0 < x < 1
a red light flashes every 17 seconds
a green light flashes every 15 seconds
they both flash at the same time
after how many seconds will they both flash at the same time?
please help
Answer:
Both the lights will flash 1440 times a day. Proof: Red light flashes after every 30 seconds and green light flashes after every 20 seconds.
Step-by-step explanation:
Evaluate 5(x - 1) - 2 when x = 3.
OA. 8
OB. 0
O C. 12
OD. -4
The value of f(3) for the given expression is 8.
What is evaluation of an expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression. The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given, the expression is 5(x - 1) - 2
Let y = f(x) = 5(x - 1) - 2 = 5x - 5 - 2 = 5x - 7
Therefore, f(3) using the equation above is: f(3) = 5(3) - 7 = 8
Thus, the value of f(3) or y at x = 3 for the given expression is 8.
To learn more about this, tap on the link below:
https://brainly.com/question/4344214
#SPJ9
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES!!I NEED THIS BY **TODAY**
(TY WHOEVER COMPLETES THESE <3333 )
Answer:
A. yes the y-intercept is 2
B. the graph is a straight line
C. The Slope of the Line is 1/2
D. The line Does Not pass through the origin
Step-by-step explanation:
A. the y-intercept is when x=0... y=([tex]\frac{-1}{2}[/tex]*0)+2
B. It is a straight line because x is raised to the 1st power and not another number
C. Although the slope of the equation is [tex]\frac{-1}{2}[/tex]... the slope is still 1/2
D. The line Does Not pass through the origin
origin= (0,0)
x=0 --> y=([tex]\frac{-1}{2}[/tex]*0)+2=
y=0---> 0=([tex]\frac{-1}{2}[/tex]*x)+2
[tex]\frac{-x}{2}[/tex]=2---> x=-4
Answer:
The first two statements are true.
Click "The y-intercept of the line is 2" and "The graph is a straight line"
Step-by-step explanation:
The most important thing to know for this question is the equation of a line, y=mx+c, where m is the slope of the line and c is the y-intercept (where the lines crosses the y-axis).
Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the y-intercept is 2. Therefore, the first statement is true.
The equation follows the general equation for a straight line, so the second statement is true.
Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the slope is - [tex]\frac{1}{2}[/tex], not [tex]\frac{1}{2}[/tex]. Therefore, the third statement is not true.
For a line to pass through the origin (0,0), it's y-intercept must be 0, but we already know the y-intercept here is 2. Therefore, the fourth statement is not true.
To see if the line passes through (0, -2), we must sub these values into the equation and see if it makes sense
y= - [tex]\frac{1}{2}[/tex]x+2?
-2=- [tex]\frac{1}{2}[/tex](0)+2?
-2 = 2? This is not true, so the last statement is also not true.
a rectangle is x units long and y units wide what is it area what its perimeter
Write an equation in standard form for the line that passes through the given points
(7,0) and (0, -4)
Answer:
y = 0.57143x - 4
Step-by-step explanation:
Subject: Trigonometry, Evaluation of Functions
Hi, I only need help matching the graphs to the questions :) Brainly only allows me to attach 5/10 of the graphs, if the ones i've attached aren't the answer i posted a similar question before this one with the rest of the graph choices. Sorry!!
1. Find <0 if cos0 = 4/7 and sin0 is negative.
2. Find <0 if sec0 = -13/5 and tan0 is negative.
3. Find <0 is sin0 = 7/10 and cot0 is positive.
4. Find <0 if tan0 = 3/4 and sin0 is negative.
(i) cosФ = 4/7 and sinФ is negative → It lies in the 4th quadrant 304.8° and the suitable graph is not provided here.
(ii) secФ = -13/5 and tanФ is negative → It lies in the IInd quadrant 112.6° and the suitable graph is J.
(iii) sinФ = 7/10 and cotФ is positive → It lies in Ist quadrant =44.4° and the suitable graph is I.
(iv) tan0 = 3/4 and sin0 is negative → It lies in the IIIrd quadrant 216.9° and the suitable graph is not provided here.
What is quadrant?
The point is in the first quadrant if both x and y were positive. If both x and y are negative, the point will reside in the second quadrant. In the third quadrant, if either x and y are negatives, the point is located. The point is situated in the fourth quadrant if both x and y are positive.(i) cosФ = 4/7 and sinФ is negative
Ф=cos^(-1)(4/7)= 55.2°
It lies in 4th quadrant (360-55.2)°=304.8°
A suitable graph is not provided here.
(ii) secФ = -13/5 and tanФ is negative.
Ф=sec^(-1)(-13/5)=67.4°
It lies in IInd quadrant (180-67.4°)=112.6°
A suitable graph is J.
(iii) sinФ = 7/10 and cotФ is positive.
Ф=sin^(-1)(7/10)=44.4°
It lies in Ist quadrant =44.4°
A suitable graph is I.
(iv) tan0 = 3/4 and sin0 is negative.
Ф=tan^(-1)(3/4)=36.9°
It lies in IIIrd quadrant (180+36.9)=216.9°
A suitable graph is not provided here.
To learn more about quadrants visit:
https://brainly.com/question/28471977
#SPJ1
what value of makes the equation true 7+3(x - 1)=5x+-2(x+1)
An equation is a collection of variables and constants with the value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
7+3(x - 1)=5x+-2(x+1)
7 + 3x - 3 = 5x + 2x + 2
3x + 4 = 7x + 2
7x + 2 = 3x + 4
7x - 3x = 4 - 2
4x = 2
x = 1/2
Hence "The value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2".
For more about the equation,
brainly.com/question/10413253
#SPJ1
The time required to load a truck is exponentially distributed with a mean of 15 minutes. What is the probability that a truck will be loaded in 20 minutes or more? enter your answer as a decimal not as a percent and round your answer to 3 decimal places.
Using the exponential distribution, there is a 0.263 probability that a truck will be loaded in 20 minutes or more.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following probability mass function:
[tex]f(x) = \mu e^{-\mu x}[/tex]
[tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
The integral has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
Hence the probability of finding a value higher than x is given by:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In the context of this problem, the mean and the decay parameter are given, respectively, by:
[tex]m = 15, \mu = \frac{1}{15} = 0.0667[/tex]
Hence the probability that a truck will be loaded in 20 minutes or more is:
[tex]P(X > 20) = e^{-0.0667 \times 20} = 0.263[/tex]
More can be learned about the exponential distribution at https://brainly.com/question/16371214
#SPJ1
what is 3/4+65/8-23+78+92-6+g
Answer:
g + 1199 / 8
Step-by-step explanation:
3/4+65/8-23+78+92-6+g
1199/8+g
How many terms are in this expression?
9c + a
Answer:
2
9c and a
Step-by-step explanation:
Answer:
2, (a and c)
Step-by-step explanation:
10 Please help I’ll give brainly
Answer:
11) 7d + 28 and 7(d+4)
12) y^2 + 3y and y(y+3)
Step-by-step explanation:
Shureka Washburn has scores of 69, 74, 79, and 62 on her algebra tests. a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 71 or higher, given that the final exam counts as two tests. b. Explain the meaning of the answer to part (a).
If Shureka Washburn has scores of 69, 74, 79, and 62 on her algebra tests, then by using the inequality, the score she must make on the final exam to pass the course with an average of 71 or higher is 71
The scores she scored on test = 69, 74, 79, 62
Consider the final score she must make on the final exam as x
Sum of the scores = 69+74+79+62+2x
= 284+2x
Consider the average of score = Sum of scores / Number of subjects
= (284+2x)/6
She need average of 71 or higher
Then the inequality equation will be
(284+2x)/6 ≥ 71
284+2x ≥ 426
2x ≥ 426-284
2x ≥ 142
x ≥ 71
Hence, if Shureka Washburn has scores of 69, 74, 79, and 62 on her algebra tests, then by using the inequality, the score she must make on the final exam to pass the course with an average of 71 or higher is 71
Learn more about inequality here
brainly.com/question/28823603
#SPJ1
Pls help if able to send a picture of answer and work
Joan walked 20 brown dogs.
As per the question, the 40% of total number of dogs are brown. So, finding 40% of the number 50 will give us the number of brown dogs.
Number of brown dogs = 50×40%
Converting Percentage to fraction
Number of brown dogs = 50×40/100
Cancelling zero as it is common
Number of brown dogs = 5×4
Performing multiplication to find the number of brown dogs
Number of brown dogs = 20
Thus, out of 50 dogs, Joan walked 20 brown dogs.
Learn more about Percentage -
https://brainly.com/question/24304697
#SPJ1