Answer:
[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
Step-by-step explanation:
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].
Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.
The vertex form of a downward-opening parabola is given by:
y=a(x-4)²+k
Where (h, k) is the vertex of the parabola.
The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.
So, we have:
Vertex: (h, k) = (2, 4)
Stretched factor:
a=-3
Now plug these values into the vertex form equation:
y=-3(x-2)²+4
To know more about equation here
https://brainly.com/question/29657983
#SPJ3
determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answer:
C. (2, 7)
Step-by-step explanation:
It is fairly easy to try the offered points in the equations to see which works.
A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3
__
B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6
__
C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3
(2, 7) is a solution to the system of equations.
_____
If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.
2x -y = -3
3x -y = -1
Subtracting the first from the second gives ...
(3x -y) -(2x -y) = (-1) -(-3)
x = 2 . . . . . matches choice C
What is the point in the line
y-5=2(x+6)
The price of a train ticket from listen to cancel is normally do $146 however the Dre company is offering a special 55% of discount to children under the age of 16 what is the sale price of the ticket from Lexington to Kansas City
Answer:
80 or 80.3
Step-by-step explanation:
You have to find what is 55% of 146
first set up your fractions. [tex]\frac{n}{146}[/tex] =[tex]\frac{55}{100}[/tex]
for the fraction on the left the denominator is the whole amount (146) and n is the unknown number
For the fraction on the right, the numerator is where the percent goes (55) and the denominator is always 100
Next you multiply using the butterfly method
you multiply across. 146 x 55, which is 8030, and 100 x n, which is 100n,
Now divide 8030 by 100
All you have to do is move the decimal two places, since there are two zero's, and you get 80.3
When you round 80.3 you get 80
hope this helps :)
Please guys the surface area of the pyramid... I will mark you brainliest
Answer:
I can answer this but all you have to do is get the length, weight, and height and multiply it. I was going to do it but I could it find the height, and width.
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for securityFind the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
Solve for y 8x - 7y = 23
[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]
The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
How to solve an equation for its variable?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is,
[tex]8x - 7y = 23[/tex]
The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,
[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]
Divide with number 7 both sides and change the sign of the equation,
[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]
Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
Learn more about the solution of the equation here;
https://brainly.com/question/21283540
#SPJ2
express 60 as the product of prime factors in ascending order in
index form
Answer:
2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.
Step-by-step explanation:
In the figure shown below find the value of a, round to the nearest tenth.
What Pic or Figure Lol
pls help me out on this ill will give brainiest for the best answer
NO BOTS CAUSE THEY ARE NO HELP
Answer:
Step-by-step explanation:
butt
1 L = 0.26 gal
How many liters are in 13.39 gallons?
Answer: 50.686664
Step-by-step explanation: hope this helps :)
1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
no
Step-by-step explanation:
By the factor theorem
If (x + h) is a factor of f(x) then f(- h) = 0
Given (x + 4) with h = - 4 , then
f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1
= - 64 - 2(16) - 20 + 1
= - 64 - 32 - 19
= - 115
Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)
Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems
Answer:
7
Step-by-step explanation:
25% of 28 =
= 0.25 × 28
= 7
Answer: 7
is Y = 4 x 2 proportional?
Answer:
no
Step-by-step explanation:
Proportinal relationships follow the equation y = kx k is the constant of proportianality
PLSSS HELP THIS IS HARD ANYONE
Answer:
b: 8
Step-by-step explanation:
with dilating by 2, the B' figure would be bigger than B
because 4*2 = 8
Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person
Answer:
[tex]1,325\geq 26x+270[/tex]
Step-by-step explanation:
–r = 3r − 4r how many solutions
Answer:
Both sides are equal so there are infinitely many solutions.
Step-by-step explanation:
3 different solutions
when one number crosses the equality sign , the sign always changes
Help help help help math math
Answer:
formula:
pie x radius squared
3 x 15^2 = 675 ft^2
Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?
Answer:
36 seconds
Step-by-step explanation:
30 / (5 x 60) = 0.01
0.01 hours = 0.6 minutes
0.6 minutes = 36 seconds
Answer:
10 minutes
Step-by-step explanation:
First, we need to convert hours to minutes. 5 x 60 = 300.
300 minutes for 30 miles.
Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)
300 divided by 30 = 10
30 divided by 30 = 1
So, it would take Jack 10 minutes to ride 1 mile.
John is renting a boat, it costs $40 for the day and $5 per hour to rent. set an expression for the cost of the boat rental.A) factor the expressionB) how much would it cost for 4 hours
Answer: B
Step-by-step explanation:
Doing Corrections
#14 plz and thank you
Answer:
Step-by-step explanation:
Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps. (10 points)
(no links and I will give brainliest)
Answer: 7 packages.
Step-by-step explanation:
Let x represent number of cookie packages.
We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.
Amount left after buying notebook would be .
As Maya needs to save $7.75, so money left to buy cookies would be .
We are also told that cost of each cookie package is $0.25. The cost of x packages would be .
The cost of x packages should be less than or equal to 7.75.
Therefore, Maya can buy at-most 7 packages.
Have a great Day/Night
Answer:
7 packages
Step-by-step explanation:
Let x represent number of cookie packages.
We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.
Amount left after buying notebook would be .
As Maya needs to save $7.75, so money left to buy cookies would be .
We are also told that cost of each cookie package is $0.25. The cost of x packages would be .
The cost of x packages should be less than or equal to 7.75.
Therefore, Maya can buy at-most 7 packages.
Simplify the expression.
53 + (- 12) + (- 4t)
Answer:
8
Step-by-step explanation:
41-4t
Hope this helps ^^
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line
Answer:
y= (1/2)x + 2
Step-by-step explanation:
yeah-ya.......... right?
Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY
Step-by-step explanation:
that means he gets 25% of the sales.
he sold 235 dozen roses for $15.50 per dozen.
so, the total sales was
235 × 15.5 = $3,642.50
100% = $3,642.50
25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)
the smallest number that is divisible by each one of 9,12 and 15 is
(a) 60. (b) 90. (c) 120 (d) 180
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
i hope this helps or some-what helps
Step-by-step explanation:
what's the answer of 7 1/2
Answer: 7.5
Step-by-step explanation: hope this help :)
Answer:
7.5
Step-by-step explanation:
hope this help you guys to answer the question