Use technology to find points and then graph the line y=-3(x-1)-4,y=−3(x−1)−4, following the instructions below.
Answers
Given the equation;
[tex]y=-3(x-1)-4[/tex]We asked to find some points and plot the graph.
Explanation
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Therefore, when x =0
[tex]\begin{gathered} y=-3(0-1)-4 \\ y=3-4 \\ y=-1 \end{gathered}[/tex]When x =1
[tex]\begin{gathered} y=-3(1-1)-4 \\ y=-4 \end{gathered}[/tex]Therefore, the graph of the equation can be seen below.
Related Questions
Find all of the zeros of this function and use them to sketch a rough graph.
Answers
The zeroes of the function f(x) = x⁵ - 8x³ - 9x are x = 0, 3, - 3, i, and - i.
Consider the function,
f(x) = x⁵ - 8x³ - 9x
x⁵ - 8x³ - 9x = x( x⁴ - 8x² - 9 )
Factoring: x⁴ - 8x² - 9
The coefficient of x⁴ is 1, the coefficient of -8x² is - 8, and - 9 is the constant term.
x⁴ - 8x² - 9 = x⁴ - 9x² + x² - 9 = x²( x² - 9 ) + 1( x² - 9 )
x⁴ - 8x² - 9 = ( x² - 9 ) ( x² + 1 )
So,
x⁵ - 8x³ - 9x= 0
x( x⁴ - 8x² - 9 ) = 0
x( x² - 9 ) ( x² + 1 ) = 0
x( x - 3 )( x + 3 ) ( x² + 1 ) = 0
Therefore, the zeroes of the function are:
x = 0, x = 3, x = - 3, and
x² + 1 = 0
x² = - 1
x = ± √( - 1 ) = ± i
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Does the point(1, 1)satisfy the in equality 11x + 8y ≥ 20?
Answers
Answer:
Step-by-step explanation:
there is a .9987 probability that a randomly selected 27-year old male lives through a year. a life insurance company charges $154 for insuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit
Answers
Using probability we know that the expected value of the insurance company is $141.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, the expected value of the insurance company:
Probability = 0.9987So, 1.0000 - 0.9987 = 0.0013Now, get the expected value as follows:
E(x) = 0.9987 × 154 + 0.0013(-9987)E(x) = 153.7998 + (-12.9831)E(x) = 153.7998 - 12.9831E(x) = 140.8167Rounding off: $141
Therefore, using probability we know that the expected value of the insurance company is $141.
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The complete question is given below:
There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.
What is the expected value for the insurance company?
A solid figure is composed of rectangular prism and a right triangular prism. The figure and some of its dimensions are sown in this diagram.
Whats the volume of the figure? (5 ft, 5ft, 2 ft, 4 ft, and 7ft.)
Answers
Answer:
volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.
Step-by-step explanation:
Determine the constant of proportionality for the relationship.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
Answers
The constant of proportionality for the relationship is p = 75.
How to express proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
In other words, a proportional relationship is one in which two quantities vary directly with each other.
It can be represented as follows:
y = px
where
p = constant of proportionalityx and y are the variablesTherefore, when we are given the variables the constant of proportionality can be found as follows:
where
y = 150
x = 2
p = y / x
p = 150 / 2
Therefore,
p = 75
Complete question: Determine the constant of proportionality for the relationship: y = px where y = 150 and x = 2
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F (x) = 6x
Find x if f(x) = -24
Answers
Hey there!
[tex]f(x)=-6x\\whenf(x)=-24[/tex]
In order to find f(x), we need to substitute -24 for x:
[tex]f(x)=6(-24)\\x=-144[/tex]
Hope this helps!
OPTION ONE GRAGH A GRAGH B OPTION TWO APPERAS TO INCREASE LESSAPPERAS TO INCREASE MOREIS LESSINCREASES MOREINCREASES LESS
Answers
To emphasize the slow increase in profits, it would be best for Bradley to use Graph A for his presentation.
Bradley should use this graph for his presentation because the profit appears to increase less on this graph (regardless both graphs show the same information)
Need help asap I will reward the first person who answers with a lot of points
Answers
Answer:
C 60 = x + 45
Step-by-step explanation:
They are vertically opposite angles so they are equal.
Jeanine Baker makes floral arrangements. She has 13 different cut flowers and plans to use 4 of them. How many different selections of the 4 flowers are possible?
Answers
715 different selections of the 4 flowers are possible.
What is combination?Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.
The scaling factor can be calculated if both the original dimensions and the new dimensions are known. There are two terms that must be grasped in order to use the scale factor. Scaling refers to the process of increasing or decreasing a figure's size. Scaling up refers to the process of increasing a figure's size.
Given:
n= 13,r= 4
Using Combination
[tex]^{13}c_4[/tex]
=13! / 4! (13 - 4)!
=13! / 4! 9!
= 13 x 12 x 11 x 10 x 9!/ 4! 9!
= 13 x 12 x 11 x 10 / 4 x 3 x 2
=13 x 11 x 5
= 715
Hence, 715 different selections of the 4 flowers are possible.
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Find the x -intercept and the y-intercept of the graph of the equation.-x+2 y=-7Good evening I am having a hard time getting this math is there any way you can help me?
Answers
Answer:
• x-intercept =7
,• y-intercept = -3.5
Explanation:
Given the linear equation
[tex]-x+2y=-7[/tex]x-intercept
The x-intercept is the value where the line crosses the x-axis.
We calculate this by setting y=0
[tex]\begin{gathered} \text{When y=0} \\ -x+2y=-7 \\ -x+2(0)=-7 \\ -x=-7 \\ x=7 \end{gathered}[/tex]The x-intercept is 7.
y-intercept
The y-intercept is the value where the line crosses the y-axis.
We calculate this by setting x=0
[tex]\begin{gathered} \text{When x=0} \\ -x+2y=-7 \\ -0+2y=-7 \\ 2y=-7 \\ Divide\text{ both sides by 2} \\ \frac{2y}{2}=-\frac{7}{2} \\ y=-3.5 \end{gathered}[/tex]The y-intercept is -3.5.
Round 287.9412 to the nearest tenth. Do not write extra zeros.
Answers
To round the number 287.9412 to the nearest tenth.
First, we identify the tenth digit.
• The tenth digit is 9.
,• The digit after 9 is 4
Since the digit after 9 is less than 5, we simply cut off the numbers after 9.
Therefore:
287.9412 = 287.9 (correct to the nearest tenth).
Answer:
287.9
Step-by-step explanation:
Dude my sister posted this one
Answers
Answer:
do i need to do the right or wrong answer
im pretty sure that there is 12
Step-by-step explanation:
calculate the the population standard division of the data set 5,4,5,3 to 6 round to the nearest hundred
Answers
Do you have a picture of your question?
The quotient of a number x and five
(translating english phrases to mathematical expressions)
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The expression forming by the statement "quotient of a number x and 5" is x/5.
What do we mean by quotient?In this example, the number divided by (15) is known as the dividend, and the number divided by (3 in this instance) is known as the divisor. The quotient is the outcome of the division. The quotient is the result of dividing two numbers by each other. As in the case of 8 ÷ 4 = 2, where the division produced the number 2, the result is the quotient. The dividend is 8 and the divisor is 4. An algebraic expression is referred to as a quotient expression or an algebraic fraction if division comes last in the evaluation process. An algebraic fraction or quotient expression is the expression 7x2+5x.So, the quotient of a number (x) and 5:
Where x is the number.then, the expression will be: x/5Therefore, the expression formed by the statement "quotient of a number x and 5" is x/5.
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The correct question is given below:
The quotient of a number (x) and five
Convert the given rectangularcoordinates into polarcoordinates.(-5, -2) = (5.4, [?])Round your answer to the nearest tenth.Report theta in radians
Answers
Use the next relationships to convert rectangular coordinates to polar coordinates:
[tex]\begin{gathered} (x,y)=(r,\theta) \\ \\ r^2=x^2+y^2 \\ \\ tan\theta=\frac{y}{x} \end{gathered}[/tex]For the given rectangular coordinates:
[tex]\begin{gathered} (-5,-2) \\ x=-5 \\ y=-2 \\ \\ tan\theta=\frac{-2}{-5}=\frac{2}{5} \\ \\ \theta=\tan^{-1}(\frac{2}{5}) \\ \\ \theta=0.4 \end{gathered}[/tex]Then, the polar coordinates are (5.4, 0.4)Which of the following is the simplified form of the expression 15z-9-3z-z+8?
Answers
Answer:
11z - 1
Step-by-step explanation:
Find the coordinates of the midpoint of a segment with the given endpoints.C(0,5) and D(-4,-5)
Answers
We have the following:
[tex]m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{}[/tex]resolving:
[tex]\begin{gathered} m=(\frac{0+(-4)_{}}{2},\frac{5+(-5)_{}}{2})_{} \\ m=(-\frac{4}{2},\frac{0}{2}) \\ m=(-2,0) \end{gathered}[/tex]Therefore, the midpoint is:
[tex]m=(-2,0)[/tex]What are two possible numbers that are 5 units from the number -6 on a number line?
Answers
Answer:
The 2 possible numbers are -11 and -1.
Step-by-step explanation:
the cost to rent a ski boat is $174.83 . Six friends each pay $34. How much change would a group of friends receive?
Answers
If $34 are paid six times, the group will pay in total:
$34 x 6 = $204
Since, the cost to rent a ski boat is $174.83, in order to find the change the group will receive we just need to substract it:
$204 - $174.83 = $29.17
3. Students performed in a play on a Friday and a Saturday. For both performances,adult tickets cost a dollars each and student tickets cost s dollars each.On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. OnSaturday, they sold 140 adult tickets and 50 student tickets, and collect $1,230.125a + 65 = 1,200140a + 50s = 1,230This situation is represented by this system of equations:a. What could the equation 265a + 115s = 2,430 mean in this situation?b. The solution to the original system is the pair a = 7 and s = 5. Explain why itmakes sense that this pair of values is also the solution to the equation265a + 115s = 2,430.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
students play:
125a + 65s = 1,200 ===> Friday
140a + 50s = 1,230 ===> Saturday
Step 02:
system of equations:
a.
a = adult tickets
s = students tickets
265a + 115s = 2,430
On this day, they sold 265 adults tickets and 115 students tickets, and collect $2,430.
b.
original solution:
a = 7
s = 5
265(7) + 115(5)= 2,430
1855 + 575 = 2430
2430 = 2430
It is verified that the original solution is also valid for this equation.
That is the full solution.
A bookstore sells 6 books for $82.50. Which table represents the relationship
between number of books and the total price?
Answers
Answer: A
Step-by-step explanation: to find the base price, you would do 82.5 to give you a rate of 0.0727 (repeating) book per dollar. then if you do that with 7 and 8 in the same table, t gives you the same rate so A would be the answer.
Answer:
A
Step-by-step explanation:
We don't actually need to do any math to figure this out. We can use process of elimination and logical thinking.
we know it's not B because the prices are too close to each other, there is also the fact that 3 books should cost half of 82.50, and 15.75 isn't half of 82.50.
it's not D because 21 books cannot cost 33.75 dollars if 6 books cost 82.50.
it's not c because 12 books should be double the cost of 82.50, which it isn't.
therefore it must be A
hope this helps :D
i need help with mat equation
Answers
[tex]\qquad \textit{power of a complex number} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill\\\\ z=2[\cos(104^o)~~ + ~~i\sin(104^o)] \\\\\\ z^2=2^2[\cos(2\cdot 104^o)~~ + ~~i\sin(2\cdot 104^o)] \\\\\\ z^2=\underset{polar}{4[\cos(208^o)~~ + ~~i\sin(208^o)]}~\hfill \implies ~\hfill z^2\approx \underset{rectangular}{\stackrel{4\cos(208^o)}{-3.532}~~,~~\stackrel{4\sin(208^o)}{-1.878} i}[/tex]
A student worked 52 hr during a week one summer. The student earned $5.70 per hour for the first 40 hr and $8.55 per hour for overtime. How much did the student earn during the week? Enter your answer in the answer box
Answers
Total earnings during the week = $330.6
Explanations:The total number of hours worked during the week = 52 hr
Earnings per hour for the first 40 hours = $5.70
Earnings for the first 40 hours = $5.70 x 40
Earnings for the first 40 hours = $228
The number of hours worked as overtime = 52 - 40 = 12 hours
Earnings per hour for overtime = $8.55
Earnings for overtime = $8.55 x 12
Earnings for overtime = $102.6
Total earnings during the week= Earnings for the first 40 hours + Earnings for overtime
Total earnings during the week = $228 + $102.6
Total earnings durig the week = $330.6
Sorry the picture is a little tight I can't find the value of A and I keep getting the wrong answer which is really frustrating. I think I just need a little assistance.
Answers
The slope of the line can be calculated using the points (2,2) and (6,10):
[tex]\begin{gathered} m=\frac{10-2}{6-2} \\ =\frac{8}{4} \\ =2 \end{gathered}[/tex]Since the point (a,8) should belong to the same line, the slope should be the same using the points (a,8) and any other point. Since the slope is 2, use the points (a,8) and (2,2):
[tex]\begin{gathered} 2=\frac{8-2}{a-2} \\ =\frac{6}{a-2} \end{gathered}[/tex]We got this expression for a:
[tex]2=\frac{6}{a-2}[/tex]Take the reciprocal of both sides of the equation:
[tex]\frac{1}{2}=\frac{a-2}{6}[/tex]Multiply both sides by 6:
[tex]\begin{gathered} \frac{6}{2}=a-2 \\ \Rightarrow a-2=3 \end{gathered}[/tex]Add 2 to both sides of the equation:
[tex]a=5[/tex]Therefore, a=5.
Assume the point (10,20) belongs to the graph of f(x) what point belongs to the graph of y = f( x - 5 )(15,20) (10,25) (5,20) (10,15)
Answers
Answer:
(15, 20)
Explanation:
If the point (10,20) belongs to the graph of f(x), a function that satisfies this point for example could be:
[tex]f(x)=2x[/tex]When x is replaced with x-5, we have:
[tex]\begin{gathered} f(x-5)=2(x-5) \\ =2x-10 \end{gathered}[/tex]Therefore, when x=15
[tex]\begin{gathered} f(x-5)=2(15)-10 \\ =30-10 \\ =20 \end{gathered}[/tex]A point that belongs to the graph of y = f(x-5) is (15, 20).
Round 6,252 to the nearest hundred
Answers
To the nearest hundred, 6300 is round 6,252.
What formula is used to round numbers to the nearest hundred?100 closest to the whole number
Look at the tens digit to know how close a number is to 100. Round up when the tens digit is 5 or above. You should round down if the tens digit is 4 or fewer. 3281 has 8 as the tens digit.
Which method of teaching rounding is the simplest?The best technique to get children to round to the closest 10 is to model rounding using two-digit numbers. Ask your youngster to imagine a rounded number, then ask what comes before and after that amount, and only fill in those two numbers.
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Which graph best represents this system of equations and its solution? 2x = 6 − y 5x − 4y = 28
Answers
Josh opens a savings account with a $300 deposit. He won't add or withdrawal any money. The
account earns 2% simple interest. What is the total amount that Josh will have on his savings at
the end of 5 years?
O $6
O $306
O $30
O $330
Answers
The most appropriate choice for simple interest will be given by-'
Amount of money Josh have at the end of 5 years = $330
Fourth option is correct
What is simple interest?
Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,
If P is the principal, rate is r %, time is t years,
SI = [tex]\frac{p \times r \times t}{100}[/tex]
Adding Principal and simple interest will give the amount
Here,
Principal deposited by Josh= $300
Rate of interest = 2%
Time = 5 years
Simple interest = [tex]\frac{300 \times 2 \times 5}{100}\\[/tex]
= $30
Amount of money Josh have at the end of 5 years = $(300 + 30)
= $330
Fourth option is correct
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Exact value of addition and subtraction formulas / sin cos tan
Answers
Take into account that:
[tex]\frac{5\pi}{4}+\frac{\pi}{3}=\frac{15\pi+4\pi}{12}=\frac{19}{12}\pi[/tex]Then, for the given sine value, you can write:
[tex]\sin (\frac{19}{12}\pi)=\sin (\frac{5}{4}\pi+\frac{1}{3}\pi)[/tex]Now, consider that the sine of a sum is:
[tex]\sin (a+b)=\sin a\cdot\cos b+\cos a\cdot\sin b[/tex]Then, by applying the previous identity to the given expression, you obtain:
[tex]\sin (\frac{5}{4}\pi+\frac{1}{3}\pi)=\sin (\frac{5}{4}\pi)\cos (\frac{1}{3}\pi)+\cos (\frac{5}{4}\pi)\sin (\frac{1}{3}\pi)[/tex]Consider now that:
[tex]\begin{gathered} \sin (\frac{5}{4}\pi)=-\frac{\sqrt[]{2}}{2} \\ \cos (\frac{1}{3}\pi)=\frac{1}{2} \\ \sin (\frac{1}{3}\pi)=\frac{\sqrt[]{3}}{2} \\ \cos (\frac{5}{4}\pi)=-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Then, for the given expression of the question, you get:
[tex]\begin{gathered} \sin (\frac{5}{4}\pi+\frac{1}{3}\pi)=(-\frac{\sqrt[]{2}}{2})(\frac{1}{2})+(-\frac{\sqrt[]{2}}{2})(\frac{\sqrt[]{3}}{2}) \\ =-\frac{\sqrt[]{2}}{4}-\frac{\sqrt[]{2}\sqrt[]{3}}{4}=-\frac{(1+\sqrt[]{3})\sqrt[]{2}}{4} \end{gathered}[/tex]The pervious result is the answer to the given expression.
Malik just returned from a spring break volunteer trip. He is shopping for a photo album that will showcase his photos from the trip. The albums range in photo capacity and orientation. Horizontally Vertically 50 photos 2 3 100 photos 2 7 150 photos 6 8 What is the probability that a randomly selected photo album holds exactly 50 photos or 150 photos? Simplify any fractions.
Answers
Answer:
Explanation:
The total number of photo albums showcased:
[tex]\begin{gathered} =2+3+2+7+6+8 \\ =28 \end{gathered}[/tex]The number that holds exactly 50 photos = 2+3 = 5
[tex]P(\text{album holds 50 photos)=}\frac{5}{28}[/tex]The number that holds exactly 150 photos = 6+8 =14
[tex]P(\text{album holds 50 photos)=}\frac{5}{28}[/tex]T
