Please help me as soon as possible, I'll give brainliest to whoever got it done and right first. Here's the question:
Describe the graph of the function f(x) = x3 − 18x2 + 101x − 180. Include the y-intercept, x-intercepts, and the shape of the graph.
Answers
It is negative 180.
The x-intercepts or roots where y = 0, are 4, 9, and 5. You know that there are three roots because the highest degree of the function is 3.
If you have a graphing calculator, I suggest plugging in the function to see the shape of the graph.
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x - intercepts: (9,0), (5,0), (4,0)
y - intercepts: (0, -180)
Good luck!
Related Questions
What is 9.27 with a repiton bar over the 27 simplified to as a fraction?
Answers
According to your question. It is incorrect. You meant repetitive.
https://socratic.org/questions/how-do-you-convert-0-27-27-repeating-to-a-fraction
This will prove my answer correct.
roberto needs to convert the equation 3x + y = -5 into slope-intercept form. why is able to add or subtract the variable term from either side of the equation?
Answers
-3x + 3x + y = -3x - 5
y = -3x - 5
-2+3n>-14
A -16/3
B -3
C -20/3
D none of the above
Answers
-2+3n>-14
+2 +2
3n>-12
n>-4
please help ❗️❗️❗️❗️❗️❗️
Answers
The slope of the graph tells you the unit rate in gallons per minute. (gallons/minute)
_____
Side Note: Pool A starts with more water in the pool, so even though it is filling more slowly, it may be filled first.
What is the measure of the angle 20x + 5= 24x - 1
Answers
x=4/4=1
All the best
20x +5 = 24x -1
add 1 to each side
20x+6 = 24x
subtract 20x from each side
6 = 4x
divide both sides by 4
x = 6/4 = 1.5
measure of angle: 20(1.5) +5 = 30+5 = 35 degrees
24(1.5) - 1 = 36-1 = 35 degrees
To different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee, but charges $35 per month. After how many months will the two companies charge the same amount?
Answers
The number of months when the two companies charge the same amount is 5 months.
Let the number of months when the two companies charge the same amount be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
75 + (20 × x) = 35 × x
75 + 20x= 35x
Collect like terms
35x - 20x = 75
15x = 75
Divide both side by 15
15x/15 = 75/15
x = 5
Therefore, the number of months when the two companies charge the same amount is 5 months.
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Use exponents to write the number 64 three different ways
Answers
4^3
(the ^ means the number after is the exponent)
4^ 3
2^6
those are your three ways hope that helps
you have 33 marbles. Besides 1 group of 33 marbles, is it possible to divide the marbles into groups with the same number of marbles with no marbles left over
Answers
A student answers
90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions correctly, how many questions are on the exam?
Answers
To find the number of questions in the exam, make an equation
(90% = [tex] \frac{90}{100} [/tex] = 0.9)
[tex] \frac{90}{100} [/tex] = [tex] \frac{27}{x} [/tex]
cross multiply and equate them
90x = 27 x 100
90x = 2700
divide by 90 on either sides to isolate x in order to find the answer
[tex] \frac{90x}{90} = \frac{2700}{90} [/tex]
90 and 90 cancels out
x = 30
So your final answer will be, there were 30 questions in the exam paper.
To find the total number of questions on the exam, set up a proportion 27 / x = 90% / 100%. Solve for x to find that there are 30 questions on the exam.
Explanation:To find the total number of questions on the exam, we can set up a proportion. Let's represent the total number of questions on the exam as x.
The proportion would be:
Correctly Answered Questions / Total Questions = Percentage Correct
Substituting the given values:
27 / x = 90% / 100%
Cross multiplying:
27 * 100% = x * 90%
27 = 0.9x
Dividing both sides by 0.9:
x = 27 / 0.9
x = 30
Therefore, there are 30 questions on the exam.
Write the equations of three distinct lines that have the same y-intercept,-1.
Answers
y = 2x-1
y = 5x-1
y = -3x-1
All of them have the same y intercept of -1. The slopes are the only thing that differ.
Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept
is 640 ft or 0.5 mi greater?
Answers
5,280 / 2 = 2,640 ft.
10. Solve the equation for f. Show all of your work.
4f-5=7h+g
Answers
add 5
4f= 7h + g + 5
divide by 4 to get f by its self
f = 1/4g + 7/4h + 5/4
You start out driving from your house to an old friend’s house in a different town, which is 280 miles away. After an hour and a half, you have gone 105 miles.
a) Assuming your speed is constant, find a linear function , which gives the distance from your house (in miles) as a function of time (in hours).
b) Find and interpret D(1).
c) Solve D(t)=280
d) Solve D(t)^3>=140 and interpret the result.
e) Considering the context of this function, what is the domain?
f) What is the range?
Answers
Given that after an hour and a half, you have gone 105 miles and that your speed is constant, this means that the slope which represents the speed with which you are driving is given by
[tex] \frac{105}{1.5} =70 \ miles \ per \ hour[/tex]
At 0 hours, he has travelled 0 miles.
The equation of a straight line is given by y = mx + c, where m represent the slope and c is the y-intercept (the value of y when x is 0).
Therefore, a linear function , which gives the distance from the house (in miles) as a function of time (in hours) is given by D = 70t.
Part B:
D(1) is the value of D when t = 1.
D(1) = 70(1) = 70
This means that the distance traveled after 1 hour is 70 miles.
Part C:
D(t) = 280 means the time it takes you to travel 280 miles.
70t = 280
t = 280 / 70 = 4
t = 4.
Part D:
[tex]D(t)^3 \geq 140 \\ \\ \Rightarrow 70t^3 \geq 140 \\ \\ \Rightarrow t^3 \geq \frac{140}{70} =2 \\ \\ \Rightarrow t \geq \sqrt[3]{2} [/tex]
Part E:
The domain is a set of the possible values of the independent variable, from the context of the function, the independent variable is the time it took him for the journey.
Therefore, the domain of the function is [0, 4].
Part F:
The range is the set of the possible values of y, y in the context of the question is the distance travelled at each particular time.
Therefore, the range of the function is [0, 280].
math question down below
Answers
216.12÷2.4
=90.05m
You're answer is -90.05m
Hope this helps! ☺♥
Write 10x10x10x10x10x10 as an exponent
Answers
The required answer for 10x10x10x10x10x10 as an exponent is 10⁷.
What is an exponent?An exponent is a number or letter written above and to the right of a mathematical expression called the base.
Now the given expression is,
10 x 10 x 10 x 10 x 10 x 10
Using the property,
a^a . a^b = a^(a+b)
Thus,
10 x 10 x 10 x 10 x 10 x 10 = 10^(1+1+1+1+1+1)
⇒ 10 x 10 x 10 x 10 x 10 x 10 = 10^7
or, 10 x 10 x 10 x 10 x 10 x 10 = 10⁷
Thus, the required answer for 10 x 10 x 10 x 10 x 10 x 10 as an exponent is 10⁷.
To learn more about exponent:
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Graph the line y=−1.5x. Using the graph, find:
The value of y corresponding to the value of x equal to 1; 0; 2; 3 problem.
If x = 1, y = .
If x = 0, y = 0.
If x = 2, y = .
If x = 3, y = .
Answers
x=1-> y=-1.5
x=2-> y=-3
x=3-> y=-4.5
Find the value of x so that the function has the given value.
h(x)=−7x ; h(x)=63
Answers
you get this by dividing 63/-7
The value of x for which the function h(x) = - 7x is h(x) = 63 is - 9.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, h(x) = -7x and h(x) = 63.
∴ We can equate these two functions as h(x) = h(x) which is,
- 7x = 63.
- x = 63/7.
- x = 9.
x = - 9.
learn more about functions here :
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If g( n ) = 3 n - 2, then what is the value of g(10)?
Answers
The saving-borrowing-investing cycle generally begins with consumer borrowing to fund their purchases and for seed capital. They then use this capital to invest in their future, which then allows them to bring in more money. They then are able to use income to pay off their loans and to save.
Answers
The saving borrowing investing cycle is used by people to achieve financial stability. They cycle is initiated when an individual borrow a sum of money to invest in a business. As time goes on the business begins to yield profits. Part of the profits will be used to repay the borrowed loan. After the repayment, the profits can then be reinvested into the business to generate more profits.
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Answers
Answer:
3 bags of spoon and 4 bags of fork.
Step-by-step explanation:
If Susan will buy 3 bags of spoon then, the total spoon is 3 × 8 = 24 spoons
and, If he will buy 4 bags of fork then, the total fork is 4 × 6 = 24 forks.
Thus, for getting equal numbers of spoon and fork he has to buy a minimum of 3 bags of spoon and 4 bags of fork.
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
Answers
Answer:
2.0 mph
Step-by-step explanation:
Last week, 4.3 inches of rain filled a rain gauge. This week, another 3.375 inches of rain filled the gauge. What was the total amount of rain that filled the rain gauge in two weeks? Enter your answer in the box.
Answers
The rain gauge collected a total of 7.675 inches of rain over the two-week period by adding last week's 4.3 inches to this week's 3.375 inches of rainfall.
This question demands basic understanding of mathematical operations and basic mathematical problem solving.
The question asks for the total amount of rain that filled a rain gauge over a two-week period. Last week, the rain gauge collected 4.3 inches of rain, and this week it collected an additional 3.375 inches. To find the total rainfall over the two weeks, we simply add these two amounts together:
4.3 inches (last week's rain) + 3.375 inches (this week's rain) = 7.675 inches
So, as per the above explaination, the rain gauge collected a total of 7.675 inches of rain over the two-week period.
Explain the steps when solving 3(N+5)>= 3n+8. Please explain how to solve.
Answers
3(N+5)
3n +15
2. Switch variables to make one .
3n-3n = n
NEW EQUATION ::
5= n+8
3. bring numebers to make one .
8-5=3
n=3
Gabriela works at a nearby electronics store. She makes a commission of 14%14, percent on everything she sells. If she sells a camera for $589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?
Answers
Which number is not in scientific notation? 11 ⋅ 1021 5.7 ⋅ 109 3.1 ⋅ 10−12 1.67 ⋅ 10−5
Answers
Scientific notation requires that the digits part is greater than zero and less than 10 (it cannot be 10).
So, to put that number in scientific notation 11 must be converted to 1.1*10 and 11 * 10^21 is 1.1 * 10 * 10^21 = 1.1 * 10^22.
Note tha 11 * 10^21 is the same that 1.1 * 10^22 but the last is in scientific notation while the former is not.
All the other numbers have the digit part in the range [1,10), so they are in scientific notation.
Answer:
11 * 10^21
Step-by-step explanation:
I took the test
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4408 dollars. How much did she invest at each rate?
Answers
Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent to achieve her annual interest of $4408 by setting up and solving a system of equations based on her investment strategy.
Jolene invests her savings in two different bank accounts, one with a 4 percent interest rate and another with an 11 percent interest rate. She invests twice as much in the lower-yielding account. To determine how much she invested at each rate given her annual interest of $4408, we can set up a system of equations.
Let's denote the amount invested at 4 percent as x and the amount invested at 11 percent as y. Given that she puts twice as much in the account with 4 percent, we can say that x = 2y. Furthermore, the total interest earned from both accounts is $4408, so the equation for the total interest would be 0.04x + 0.11y = 4408.
Substitute x = 2y into the interest equation to get 0.04(2y) + 0.11y = 4408. After simplification, the equation becomes 0.19y = 4408. Dividing both sides by 0.19 gives us y = 23189.47. Since x = 2y, multiply y by 2 to find x = 46378.95.
Therefore, Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent.
Please answer, , I need this by 10:00, thank you!
Answers
Let m = slope
m = (1 - 7)/(5 - 2)
m = (-6)/(3)
m = -2
Use the slope and one of the points to plug into the point-slope formula.
I will use the point (5, 1).
y - 1 = -2(x - 5)
y - 1 = -2x + 10
The equation is
y = -2x + 11
Given the two expressions shown below:
A. square root of 3 + square root of 2
B. square root of 3 + square root of 6
Which statement best describes the two expressions?
A. both rational
B. both irrational
C. A is rational and B is irrational
D. A is irrational and B is rational
Plz help Thanks for Everything Guys
Answers
A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?
Answers
1/3 of the income goes for foor.
The sum of these fractions are their expenses.
Note that
[tex] \frac{1}{2} = \frac{3}{6}, \, and \, \frac{1}{3}= \frac{2}{6} [/tex]
Therefore the fraction of the budget is
[tex] \frac{1}{2}+ \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} [/tex]
Answer: 5/6
Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2
Which reason justifies her solution?
A) Karla says that to solve the equation you first add 15 and then multiply by 10.
B) Karla says that to solve the equation you first multiply by 10 and then add 15.
C) Karla says that to solve the equation you first subtract 15 and then divide by 10.
D) Karla says that to solve the equation you first divide by 10 and then subtract 15.
Answers
you do the inverse of positive 15, which is negative 15. so put it on both side .
10x +15 =20
-15 =-15
to equal
10x =5
then divide 10 on both side
10x = 5
----- -----
10 10
x = 5/10 or 1/2