What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?
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
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Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?
If any doubt leave a comment
Complete the problems below. Be sure to show your work! 11. A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.
Answer:
b
Step-by-step explanation:
Please help worth 20 points
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
PLEASE HELP ME!! THANKS :)
Answer:
1. y=7
2. y=17
3. y=21
4. y=24
Step-by-step explanation:
I hope you're able to complete the problem, have a great day/night! <3
Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.
Answer:
reflection over x-axis
hope that helps!!!
Select the correct answer.
Why do the hands on the clock form an angle?
OA.
The hands lie in the same circle.
OB.
The hands are two line segments that share the same endpoint.
Oc.
The hands are two line segments that are perpendicular to one another.
OD.
The hands lie in the same plane.
Answer:
Step-by-step explanation:
The hands are two line segments that share the same endpoint.
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made
Answer:
30:12
Step-by-step explanation:
a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????
Answer:
38%
Step-by-step explanation:
20%-30%, 100%-30%, 20%-6%
80%-40%, 100%-40%, 5%-2%, 80%-32%
32+6=38%
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?
Answer:
36 points
Step-by-step explanation:
3x14 = 42
1x6 = 6
42-6 = 36
Hope that helps
Answer:
54 hope this helps
th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
Work out and simplify where possible 3 x 5/11 12 x 3/4
[tex]3 \times \frac{5}{11} [/tex]
turns into
[tex] \frac{3}{1} \times \frac{5}{11} = \frac{15}{11} = 1 \frac{4}{11} [/tex]
[tex]12 \times \frac{3}{4} = \frac{12}{1} \times \frac{3}{4} = \frac{36}{4} = 9[/tex]
Because 36 goes into 4 nine times.
please help me!
ty :D
Answer:
x = 3,0 y = 0, -4
Step-by-step explanation:
Answer:
x - intercept (0, 3)
y - intercept (-4, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
During a sale, a store offered a 25% discount on a tablet computer that originally sold
for $320. After the sale, the discounted price of the tablet computer was marked up
by 25%. What was the price of the tablet computer after the markup? Round to the
nearest cent.
Answer:
304
Step-by-step explanation:
x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Answer: she/he is wrong.
Step-by-step explanation:
no offence.
Simple Geometry Question 100 Points
How do you use coordinates to find the area of polygons?
Answer:
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
Step-by-step explanation:
please help me I do not understand it please
Answer:
x= 0
y= 2
explanation in the picture attached (tap the image to view it fully)
no links pls help
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5
[tex]\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}[/tex]
PLEASE HELP!!!
Which of the following are equations for the line shown below? Check all that
apply.
(5,1)
5
5
(-5,-3)
5
A. y + 3 = 0.4(x + 5)
B. Y-1 = 0.4(x - 5)
C. y - 3 = 0.4(x - 5)
Y5-06
1)
Answer:
The answer is A and B
Step-by-step explanation:
y-y=m(x-x)
y-(-3)=m(x-(-5))
y+3=0.4(x+5)
y-y=m(x-x)
y-1=0.4(x-5)
5/9 divide 5 in the simplest form
[tex] \: \: \: \: \: \: [/tex]
[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} \div 5[/tex]
dividing the equivalent to multiplying by the reciprocal[tex] \frac{5}{9} \times \frac{1}{5} [/tex]
reduce the numbers with the greatest common factor 5[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]
hope it helpsTanisha is hiring 3 musicians for her
birthday party. Each musician charges a
Travel fee of $30 plus an additional $65
per hour. Write an expression that
represents how much money Tanisha will
have to pay all three musicians after
hiring them for x amount of hours.
Answer:
y=65x+30
Step-by-step explanation:
Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept
Can someone help? This is hard
6x+ 14 <--28
AND
3r + 28 < 25
Answer:
what?
Step-by-step explanation:
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
Answer:
-48
Step-by-step explanation:
-6=x/8
-6×8=x
x=-48
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
The solution to the equation is: -48
------------Verified Commentry from a K12 Representitive------------
graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
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I need help and I can’t find any sadly. Help!!
Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality
Step-by-step explanation:
lesson 5 practice problems
Answer:
Step-by-step explanation:
ok ill help but can soke one help me too
