Write the equation of the following graph in intercept form.
The equation of the following graph, in intercept form, which is provided in the image is,
\(f(x)=0.4(x+2)(x-5)\)
What is parabola equation intercept form?The intercept form of parabola can be expressed using the following expression.
\(f(x)=a(x-p)(x-q)\)
Here, a is the constant, (p, q) are the x-values on the graph, where y is zero.
In the given graph, the point (-2,0) is the point, where the value y is zero. Here, the value of x is -2. Therefore,
\(p=-2\)
The other point, where the value of y is zero is (5,0). Thus the value of q is,
\(q=5\)
The value of constant a is,
\(a=-\dfrac{p}{q}\\a=-\dfrac{-2}{5}\\a=0.4\)
Put these values in the above equation, we get,
\(f(x)=0.4(x+2)(x-5)\)
The equation of the following graph, in intercept form, which is provided in the image is,
\(f(x)=0.4(x+2)(x-5)\)
Learn more about the parabola equation intercept form here;
https://brainly.com/question/14228826
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
witch expression is equal to 60-3y-9
a. 3(17-y)
b. 3(20-y)
c. 17 (3-y)
d. 20 (3-3y) -9
Answer:
correct answer is: A
Step-by-step explanation:
1 - Commonn Factor is 3, so take out the 3
3(20-y-3)
3(17 - y)
please help asap asap
PLS ANSER ASAP!!! sort out the statements and formulas into the right two categories!
Help please! Due soon
Answer:
The answer is
Some reptiles have legs
Step-by-step explanation:
Negation is the grammatical operation whereby a proposition is replaced by one that states the opposite of an affirmative form.
A cell phone provider will allow you to pay for a new phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, where y represents the total cost of the phone and x represents number of months, what would be the slope?
A) 0
B) 75
C) 25
D) 50
Answer:
C) 25
Step-by-step explanation:
The charge per month, 25, multiplies the number of months, x, and then is added to the initial fee.
The function is
y = 25x + 50
The slope is 25.
Answer: C) 25
Question 17(Multiple Choice Worth 1 points)
(04.02 MC)
The graph below shows the fine that a library member pays based on the number of days a book is overdue:
Which statement best describes the point (0, 0) on the graph?
No fine is paid if the book is returned by the due date.
A fine of $0.75 is paid if the book returned by the due date.
No fine is paid if the book is returned 1 day after the due date.
A fine of $0.75 is paid if the book is returned 1 day after the due date.
Answer:A fine of $0.75 is paid if the book returned by the due date.
No fine is paid if the book is returned 1 day after the due date.
A fine of $0.75 is paid if the book is returned 1 day after the due date.
Bit by bit clarification:
A fine of $0.75 is paid if the book returned by the due date.
No fine is paid if the book is returned 1 day after the due date.
A fine of $0.75 is paid if the book is returned 1 day after the due date.
help me if u can and ty
Answer:
-1.3
Step-by-step explanation:
To find the slope of a line it's, change in y ÷ change in x
i.e,(-7-6)÷{4-(-6)}= -13/10 = -1.3
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Henry was playing checkers with a friend. The ratio of games Henry won was 9 : 4. If Henry won 36 games, how many games did his friend win?
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
If the circumference of a circle is 113.04 inches, what is the circle's radius?
Answer:
r≈17.99in
Step-by-step explanation:
Answer:
18 inches
Step-by-step explanation:
113.04 / 3.14 = 36 inches (diameter)
36 / 2 = 18 inches
Which of the following equations defines y as a function of x?
After 1 year, $6,000 deposited in a savings account with simple interest had earned $120 in interest. What was the interest rate?
Answer: 6000 or 120
Step-by-step explanation:
P=$6,000
R=?
T=1 year
S.I.=$120
SI=(PTR)/100
=>120=(6,000*R*1)/100
=>120=60R
=>R=120/60
R=2%
Hope this answer is helpful
please help me with this
If a car rolled down a 25-meter ramp, continued rolling another 20 meters at the bottom, then reversed and went back to the top of the ramp, what is the car's displacement? What is the car's distance traveled? Explain
I will give brainliest!
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
please help me you have to put these in orrder
Answer:
\(9^{x}\) = 9 (With x as 1) \(3^{x}\) = 3 (With x as 1) \(x^{3}\) = 1 (With x as 1)Step-by-step explanation:
With x = 1, we can substitute the value 'x' as the exponent. Answers are below.
=> \(9^{x}\) = \(9^{1}\) = 9=> \(3^{x}\) = \(3^{1}\) = 3=> \(x^{3}\) = \(1^{3}\) = 1What is 10x10x20x90?
Pls help!
Answer:
The answer is 180,000
Answer: 180000
I really hope this helped you! good luck
please help!
Try to solve the equation below.
2x^2+18=10
Explain why this equation has no real number solutions.
Answer:
Step-by-step explanation:
The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:
D= 0-(4*2*18) --> which is clearly negative
When D is less than 0, the equation has no real number solutions.
Therefore, \(2x^{2}+18=0\) has no real roots
Answer:
Step-by-step explanation:
0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)
the total cost of 8 pens and 9 books is $30.05. if the cost of a pen is $a, and a book is .90 MORE expensive. find A. Give your answer in two decimal places.
Answer:
2 Answers By Expert Tutors ... Let's set x = cost of books and y = cost of pens. ... In algebra, this can be written as x + y = 18. ... Using x and y, we get 1 book and 2 pens costs $21, or x + 2y = 21 ... The pen must cost $3 because we are adding $3 to the total when we ... Please provide a valid phone number.
Step-by-step explanation:
15 points to whoever answers this!!
Answer:
\(\frac{16}{27}\)
Step-by-step explanation:
From the table, we notice that the total number of students is:
\(3+10+8+6=27\)
Then, along the second column of the table, we notice that the number of students who do not have a brother is:
\(10+6=16\)
So, the probability that a randomly chosen student does not have a brother is:
\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)
What is the equation of the line that passes through the point (2,-5) and is parallel to the line 6x+y=6
Answer:
y = -6x + 7
Step-by-step explanation:
4. Chris and Keith went to a carnival. Chris started with 80 tickets and spent x tickets at the carnival, Keith started with 140 tickets and spent 2x tickets at the carnival. At the end of the night, they had the same number of tickets left over. How many tickets did Chris spend at the carnival?
Answer: x=20
Step-by-step explanation:
3x+80=140
3x=60
x=20
Answer: Chris spent 60 tickets at the carnival.
Step-by-step explanation:
At the end of the night, both Chris and Keith had the same amount of tickets, so:
80 - x = 140 - 2x
Now, solve the equation. Start by bringing the -2x to the left side.
80 - x + 2x = 140
Bring the 80 to the right side so the variables are isolated.
-x + 2x = 60
Add like terms.
x = 60
Check the work.
Chris had 80, spent 60, so had 20 left. --> 80 - 60 = 20
Keith had 140, spent 120 (60 *2), so also had 20 left. --> 140 - 120 = 20
So, Chris spent 60 tickets at the carnival.
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
Algebra question, need answer as soon as possible please
Answer:
920000 or 9.2 x 10⁵
Step-by-step explanation:
Given:
It takes the sun 2.3 x 10⁸ years to orbit the milky wayIt takes Pluto 2.5 x 10² years to orbit the sunGiven this we want to find :
How many times pluto orbits the sun over the time span that the sun makes one orbit around the milky wayTo get this we must divide the time it takes Pluto to orbit the sun by the amount of time it takes the sun to orbit the milky way
In other words our answer = 2.3 x 10⁸ / 2.5 x 10² = 920000
We can then convert the outputted number into scientific notation
In doing so we get 9.2 x 10⁵
Its important to note that the coefficient (9.2) must have 2 significant figures as the given numbers do.
All we did to convert to scientific notation is add a decimal in between the two sig figs and multiply (9.2) by 10 to the power of how many decimal places we moved over to get to 9.2. Here we moved the decimal point 5 places from 920000. to get to 9.2 therefore the answer in scientific notation would be 9.2 x 10⁵
(You can easily calculate this by plugging this into a calculator)
The number a 10^-2 is about 8 times greater than b 10^-3.
Find the correct value of a and b.
Answer:
Step-by-step explanation:
its says about so can i be bigger than 8
Can sum1 give me the right answer pls like seriously