Graph the equation y=-x^2+12x-32y on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.
How to graph a quadratic function
By fundamental algebra theorem we need at least three no coplanar different points to graph quadratic functions. First, we determine 5 different points, then we pass the curve through the five points and finally we identify the roots and the vertex.
If we know that (- 16, - 480), (- 12, - 320), (- 8, - 192), (- 4, - 96), (0, - 32), then the graph of the quadratic function is shown in the image.
The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.
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How do you do this question?
Step-by-step explanation:
Start with the series representation for eˣ.
eˣ = ∑ₙ₌₀°° xⁿ / n!
Substitute -x².
e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!
e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!
Multiply by x².
x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!
x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!
Integrate both sides (use power rule).
∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)
Evaluate between x=0 and x=0.5.
∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)
This is an alternating series, so use alternating series estimation.
(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001
(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001
n ≥ 1
So the estimate of the integral is the sum of the first two terms (n=0 and n=1).
I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)
I = (0.5³) / 3 − (0.5⁵) / 5
I = 1/24 − 1/160
I = 17/480
I = 0.0354
Which ordered pair is a solution to the equation below? 3x + 2y = 10
Question 1 options:
(4, 0)
(6, -4)
(-1, 4)
Answer:
(6,-4)
Step-by-step explanation:
I have tried replacing each option with x, y in the equation.
Let's replace (6, -4) with x and y
3x+2y=10
3(6)+2(-4)=10
3(6)= 18 2(-4)= -8
18+(-8)=10
in other words:
18-8=10
The statement is true, so the correct answer is:
(6, -4)
If the ratio of the length of a rectangle to its width is
9/4 and it’s length is 18 cm, what is the width of the rectangle?
9514 1404 393
Answer:
8 cm
Step-by-step explanation:
It is convenient to write the proportion with the unknown (width) on top:
width/length = 4/9 = w/(18 cm)
Multiplying by 18 cm gives ...
w = (18 cm)(4/9) = 8 cm
The width of the rectangle is 8 cm.
Answer:
The answer is 8.
Step-by-step explanation:
I did a test with this question on it.
This was the correct answer.
YOUR WELCOME!!! HOPE IT WAS HELPFUL :)
I need to know for you to Awnser my question
Points and brainlest !!!
Answer:
id c hot hf hdjhdw fhwjfehf v;e
Step-by-step explanation:
id c h
Answer:
2/3
Step-by-step explanation:
theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.
a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.
b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.
Answer:
(a)
Snow Dome Ski: y = 65 + t
Mt. Winterpark: y = 74 + ½t
(b) Hours greater than 18
Step-by-step explanation:
Given
Snow Dome Ski
Base Snow = 65in
Rate = 1 in per hour
Mt. Winterpark
Base Snow = 74 in
Rate = ½ in per hour
Solving (a): Equation for both
To determine the amount of snow (y) at time (t) for any of the two, we make use of:
y = Base Snow + Rate * t
For Snow Dome Ski:
y = 65 + 1 * t
y = 65 + t
For Mt. Winterpark
y = 74 + ½ * t
y = 74 + ½t
Solving (b): When snow dome will have more snow.
To solve this, we set the following inequality
Snow Dome Ski > Mt. Winterpark
This gives:
65 + t > 74 + ½t
Collect Like Terms
t - ½t > 74 - 65
½t > 9
Multiply both sides by 2
t > 18
This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.
After 18 hours means, hours greater than 18 which could be 19, 20, 21.....
what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship
Answer:
Vertical Angles...............
graph the relation of the table shown. is the relation a function why or why not? (x,y) (-1,3),(-1,2),(0,-4),(4,2)
Answer:
It is not a function.
Step-by-step explanation:
This is not a function, because there is more than one y value when x = -1. A function has one value for each x value.
pls solve this and you get the points i'm a lil high right now
Answer:
solve for V= pier^/3
solve for R=Square root3Vpie over pie
Step-by-step explanation:
V=multiply 1/3(pier^2)
R= Take root of both sides and solve
Answer:
dividing by a fraction (1/3) is equivalent to multiplying by its inverse (3)
3+%2A+v+%2F+%28pi+%2A+r%5E2%29 = h
Step-by-step explanation:
Which of these businesses is a partnership? A. the Lin and Ching families' Chinese restaurant B. Karton's furniture-manufacturing business C. Jane Larson's gift shop
Answer:
A
Step-by-step explanation:
''The Lin and Ching families' Chinese restaurant'' is a partnership businesses.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We know that;
In a partnership businesses, two peoples are include.
Hence, By given options,
Option A is true, because it contain two name of peoples
So, The Lin and Ching families' Chinese restaurant is a partnership businesses.
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Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?
Answer:
1 gallon of gas= 38 miles
Step-by-step explanation:
152÷4= 38.
.
Determine the value of each of the following expressions
a.
25+310
b.
56−13
c.
45×78
d.
67÷34
Help i need the answer now please!
Answer:
no
Step-by-step explanation:
What’s the unit rate for Tegan?
Answer:
The unit rate is 16
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $400. The store has a sale where all bicycles cost
2
5
of the regular price. What is the sale price of the bicycle?
Answer:
$160
Step-by-step explanation:
2/5 x 400 = 160
Brothers Inc. issued a 120-day note in the amount of $180,000 on November 1, 2019
with an annual rate of 6%.
What amount of interest has accrued as of December 31, 2019?
Answer:
Amount of interest = $1,805 (Approx)
Step-by-step explanation:
Given:
Amount invested = $180,000
Annual rate = 6%
Number of days = 61 days
Find:
Amount of interest
Computation:
Amount of interest = 180,000 x 6% x 61/365
Amount of interest = $1,805 (Approx)
Which algebraic expression represents this phrase? the product of 40 and the distance to the finish line A. 40•d B.
[tex] \frac{40}{d} [/tex]
C. 40 - d D. 40 + d
Answer:
A 40•d
Step-by-step explanation:
The product of 40 and the distance (d)
40•d
B is division
C is subtraction
D is addition
The product of two numbers is multiplication, so the answer must be A
Help me pleaseeeeeeeeeeeeeeeeee
18
=
4
Convert the improper fraction to a mixed number.
Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator by the denominator.
[tex]\frac{18}{4}[/tex]
[tex]4\times4=16[/tex]
[tex]18\div4=4^2[/tex]
[tex]4\frac{2}{4}[/tex]
Reduce:
[tex]2\div2=1[/tex]
[tex]4\div2=2[/tex]
[tex]=4\frac{1}{2}[/tex]
Hope this helps.
How far are 2 and -5 apart on the number line?
The left and right page numbers of an open book are two constructive integers whose sum is 427. Find these page numbers
Answer:
n + (n + 1)= 427
2n + 1 = 427
2n = 427
= 213
Step-by-step explanation:
Step 1:Choose the lowest common denominator
Find the sum of 1/5 and 7/10
The expression written in equation from with common denominator is______
The sum is___
Answer:
-6/8 +5/8 and -1/8
Step-by-step explanation:
just got done doing it.
Find the missing angle measure. 50, x, and 100
Answer:
All angles in a triangle add up to 360
360-100-50 = 210
x = 210
Step-by-step explanation:
Help please answer!this is on Zearn.org
Answer:
3/14 this is correct answer
Step by step explanation
3 over 14
-3- 2 1/3 please help me out
Answer:-2/3
-3-2 1/3
which is also
-3 -7/3
which is also
-9/3-7/3
which is
-2/3
FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST
9514 1404 393
Answer:
59 3/4
Step-by-step explanation:
The change from the opening price is ...
-50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price
it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?
Answer:
64
Step-by-step explanation:
16 divided by 0.25 gives you 64 .... welcome
Answer:
64 km/h
I answered it correctly on a mid term
Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45
Answer:
The sum of 89 and 45
Step-by-step explanation:
Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44
The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?
The volume of the _________ is greater when x = 2.
(hemisphere or cubic)
Answer:hemisphere
Step-by-step explanation:
The volume of the hemisphere is greater when x = 2.
The formula for calculating the volume of a hemisphere is expressed as:
[tex]V=\frac{2}{3} \pi x^3[/tex]
Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:
[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]
Next is to get the volume of a cube expressed as:
[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]
Hence the volume of the hemisphere is greater when x = 2.
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An annual pass to a park costs $120. Use a percent model to find 200% of the full price of the annual pass.
200% of the full price is $_________
Answer:
wouldn't be $240 why u keep deleting my answer
Answer:
?
Step-by-step explanation:
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