The sum of the roots of 2x² − 6x + 1 = 0 is 3 and the product is 0.5076.
What is roots?The values of variables that satisfy the given quadratic equation are known as its roots. In other words, x = α is a root of the quadratic equation f(x) if f(α ) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersects the x-axis.
To find sum and the product we first need to find roots/zeroes of the quadratic equation 2x² − 6x + 1 = 0, i.e.
⇒ 2x² − 6x + 1
⇒ 2x²−6x + 1
Putting them in quadratic equation
[tex]$ \Rightarrow x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]
[tex]$ \Rightarrow x={\frac {-(-6)\pm {\sqrt {(-6)^{2}-4(2)(1)}}}{2(2)}}[/tex]
[tex]$ \Rightarrow x = \frac{3 -\sqrt{7} }{2}[/tex], [tex]$ \Rightarrow x_2 = \frac{3 +\sqrt{7} }{2}[/tex]
⇒ x = 0.177124, x₂ = 2.822876
⇒ x = 0.18, x₂ = 2.82
The sum of the equation roots of 2x² − 6x + 1 = 0 is
0.18 + 2.82 = 3
The Product of the equation roots of 2x² − 6x + 1 = 0 is
0.18 × 2.82 = 0.5076
Thus, The sum of the roots of 2x² − 6x + 1 = 0 is 3 and the product is 0.5076.
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Can someone please help with this math question?
Answer:
Its easy
Step-by-step explanation:
1) 12
2)76
3)21.5
4)22.0
cp=Rs6250 loss%=4% find sp
you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire
Answer: y = 11 cos (1/11x) +11
Step-by-step explanation:
Writing a cosine equation to model the height of the red spot over the distance you ride will be:
D. [tex]y=11 cos (1/11x) + 11[/tex]Some cosine formulas are:
[tex]cos A= (b2+c2-a2)/(2bc)[/tex]What is a cosine equation?A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.
Therefore the correct answer is option D.
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In the year 2007, a company made $4 million in profit. For each consecutive year after that, their profit increased by 14%. How much would the company's profit be in the year 2011, to the nearest tenth of a million dollars
Answer:
$6.76 million
Step-by-step explanation:
The computation of the profit of the year in 2011 is shown below:
Given that
In year 2007, it made $4 million profits
And it would be increased by 14% till 2011
So,
= $4 million × (1 + 0.14)^4
= $4 million × 1.68896016
= $6.76 million
Please help quick will give brainliest!
Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit [tex]\displaystyle \lim_{x\to c^{-}}h(x) = -\infty[/tex] says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit [tex]\displaystyle \lim_{x\to c^{+}}h(x) = \infty[/tex] means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
f(x) = 5 + x; $111.05
f(x) = 1.05x; $115.50
f(x) = x – 5; $108.95
f(x) = 0.05x; $5.50
Answer:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x � 5; $108.95
D. f(x) =1.05x; $115.50
total cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 to get
f(x) = 1.05x
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50 (after tax is added on)
Step-by-step explanation:
1: the total cost of a CD player would be 104.76
2: Total Cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 into the function
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50
3: Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
I’m having a bit of trouble could someone please help me??
Answer:
1.Conduction
2.the second one
sorry if these are wrong
Step-by-step explanation:
Answer:
#1 Convection
#2 From the hot to the mug
*Solve by Graphing* Greg went to the hardware store to buy bolts and washers. The bolts cost $0.55 each and the washers cost $0.07 each. George paid $2.41 for a total price of 7 pieces. How many of each item did he get?
Answer:
He got 4 bolts and 3 washers
Step-by-step explanation:
Because 0.55 · 4 = 2.2
0.07 · 3 = .21
and put it together, 2.2 + .21 = 2.41
True or False:
The relation shown is a function.
20 POINTS!!
Answer:
True
Step-by-step explanation:
For a relation to be a function each value of x must pair up with one and only one value of
The relation shown is a function.
How much will
11. The markup on a restaurant meal is 250%. A meal costs $7.30 to produce.
the customer be charged before tax and tip?
hsdhjdjs
Answer:
2.5t 7.3=18.25
Step-by-step explanation:
250/100,please mark as brilliant
BRAINLIEST FOR 1ST AND SECOND WHO ANSWERS.... EMERGENCY
Marcie pays someone to clean the salon. She pays them $15.00 per hour. She offers them a 3% raise on their hourly pay. How much will she now pay them per hour?
Answer:
I think it will be $16.50
Step-by-step explanation:
sorry if I'm wrong
help me with this answer pls!!
Answer:
1.090909......
Step-by-step explanation:
Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....
I hope this helps!
Find the value of x. Then find the measure of the red arc.
Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
The value of x = 70 degrees, and the measure red arc of 110 degrees,
In the case when (2x - 30) degrees and x degrees are given.
Calculation of the value of x and red arc:Since
x + (2x - 30) = 180
3x - 30 = 180
3x = 210
x = 70
Now
= 2(70) - 30
= 140 - 30
= 110 degrees
hence, The value of x = 70 degrees, and the measure red arc of 110 degrees
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At her restaurant, Yolanda opened 34 cans of tomato sauce. She needs to use 4 cans of sauce for one pan of lasagna. How many pans of lasagna could Yolanda make if she uses all of the cans? Write the answer as a mixed number.
Step-by-step explanation:
so divide 34 and 4 you will get 17 / 2 so to make it into a mixed number divide it by 8 and it will 16 so 1 will be remaining so it will be 8 1/2 hope it helps :D
there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.
Answer:
Each person should share 1 and 1/2
Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u
Answer:
i believe it proportional
Step-by-step explanation:
pls no report me i did this stuff in 6th grade so i forgot :)
20 points!!
Find the value of y when x=9.
y=1- 2x
Answer: The answer is -17
Step-by-step explanation:
Brainlist Plz?
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week
Answer:
288
Step-by-step explanation:
it's pretty simple, if u do 96 * 3, it will be that. yw :)
Answer:
He made $324.
Step-by-step explanation:
96 x 3 = 288
204 x 3 = 612
So, then 612-288 = 324
Hope this helped!
How many solutions to 10x - 6 = 10 x + 6
Answer:
no solution
Step-by-step explanation:
Unrestrained growth of cells in a petri dish can be extremely rapid, with a single cell growing into a number of cells, N, given by the formula, N(t) = 8t, after t hours.
Enter the formula for the number of cells in the petri dish when a culture is started with 30 isolated cells.
The new formula is N(t) = .
How many cells do you expect after 3 hours?
You should expect ___
cells.
Answer:
New Formula is [tex] N(t) = 30t [/tex]
You should expect 90 cells
Step-by-step explanation:
✔️The new formula that would represent the number of cells when 30 isolated cells are used to start a culture would be:
[tex] N(t) = 30t [/tex]
✔️Number of cells, N(t), to expect after 3 hours, t:
Substitute t = 3 into [tex] N(t) = 30t [/tex]
Thus:
[tex] N(30) = 30*3 [/tex]
[tex] N(30) = 90 [/tex]
You should expect 90 cells
Write as an expression: Jones Elementary School sang 3 more than 4 times as many songs as Redwc
Middle School at the concert
300 ml of pure alcohol is poured from a bottle containing 2 l of pure alcohol. Then, 300 ml of water is added into the bottle. Again 300 ml of the diluted alcohol is poured out and 300 ml of water is added into the bottle, Find the percentage of pure alcohol in the solution now.
Answer:
The present percentage of pure alcohol in the solution is 72.25% of pure alcohol
Step-by-step explanation:
The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol
The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water
The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol
The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water
Step 1
After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;
C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100
The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml
The total volume of the solution = The volume of pure alcohol in the bottle + The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l
∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol
Step 2
After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;
Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml
The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml
The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added
∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml
The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100
∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %
The present percentage of pure alcohol in the solution, C%₂ = 72.25%
ASAP PLEASE I WILL MAKE BRAINIEST
The coordinates of the point UU are (-4,3)(−4,3) and the coordinates of point VV are (-4,-9).(−4,−9). What is the distance, in units, between the point UU and point V?V?
Answer:
12 unitsStep-by-step explanation:
Given points:
U(-4, 3) and V(-4, -9)The line segment between the given points is vertical as their x-coordinates are same.
The distance between the points is the difference between their y-coordinates:
3 - (-9) = 12 unitsWhich is the equation of a line that has a slope of 1 and passes through point (5, 3)?
O y=x-2
y = x + 2
O y = x + 3
O y=x-5
Save and Exit
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=1(x-5)
y-3=x-5
y=x-5+3
y=x-2
-5/7b = -4
What does B equal?
Answer:
28/5 or 5,6
Step-by-step explanation:
Inverse of f(n)=-2n^3-3
is 1/2 ÷ 2 is greater than 1 or less than 1.
Answer:
0.25
Step-by-step explanation:
1/2÷ 2 is less than 1
Answer:
Greater
Step-by-step explanation:
It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole
2.8 -3x =12.1 −6x what's x
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE
Answer:
The equation is d=5l
As the number of LAPS increases, the number of DOLLARS also increases
Step-by-step explanation:
Edge 2021 on assignment
Answer:
d=5l
laps
dollars
Step-by-step explanation:
i did it and its correct