Answer:
f(x) = 4x² - 8x + 2
General Formulas and Concepts:
Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = 4(x - 1)² - 2
Step 2: Find Standard Form
Expand by FOILing: f(x) = 4(x² - 2x + 1) - 2Distribute 4: f(x) = 4x² - 8x + 4 - 2Combine like terms (constants): f(x) = 4x² - 8x + 2Graph 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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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
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 :)
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.
Help please answer!this is on Zearn.org
Answer:
3/14 this is correct answer
Step by step explanation
3 over 14
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)
Help i need the answer now please!
Answer:
no
Step-by-step explanation:
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:
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.
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...............
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
Help me pleaseeeeeeeeeeeeeeeeee
-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
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:
Carmen measured her purple pen and found it was 14.724 cm long. What is the length of the purple pen rounded to the nearest hundredth
Answer:14.73 your welcome
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)
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.
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.
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
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
Hi please help! Please and thank you
Answer: 1. [tex]\frac{19}{18}=n[/tex]
2. x=4
Step-by-step explanation:
[tex]\frac{11}{6}-\frac{7}{9}=n[/tex] First, you have to subtract [tex]\frac{7}{9}[/tex] from both sides to have n by its self.
[tex]\frac{33}{18}-\frac{14}{18}=n[/tex] Then find the common denominator. And subtract it
[tex]\frac{19}{18}=n[/tex]
6.2-2.2=x Subtract 2.2 from both sides to have x by its self.
4=x
tells diere expression
2x + 4y - 3
es
-3
B)
2
3
D)
4
Answer:
sorry I don't understand the way its written
A recipe says, "3 parts water to 1 part milk." How much water will you need if you use 2 liters of milk?
Answer:
6 liters
Step-by-step explanation:
2 liters of milk will need 6 liters of water.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a recipe says - "3 parts water to 1 part milk".
Now, we can write that -
3 parts water needs 1 part milk
This means, 1 litre milk needs 3 liters of water.
Then, 2 liters of milk will need (2 x 3) = 6 liters of water.
Therefore, 2 liters of milk will need 6 liters of water.
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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
How far are 2 and -5 apart on the number line?
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
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:
What’s the unit rate for Tegan?
Answer:
The unit rate is 16
What is the quotient between 215÷9
215/9
= 23.888888........
It is written as shown in the picture