To find the roots of the given polynomial, we use the quadratic formula since the quadratic trinomial a ≠ 1. The roots of the given polynomial are x = 3 or x = 2/3.
The given equation is 3x² − 22x + 34 = −1.
We want to find which type of factoring would we use to solve this polynomial for its roots.
The equation can be simplified as:3x² − 22x + 35 = 0We can see that the quadratic trinomial a ≠ 1, since the coefficient of x² is 3, and the value of a is not equal to 1.
Therefore, we can use the quadratic formula to find the roots of the given polynomial.
The quadratic formula is given as:
x = (-b±√b²-4ac)/2a
On comparing with the general quadratic equation ax² + bx + c = 0, we get a = 3, b = −22, and c = 35.
Substituting the given values in the quadratic formula, we get
x = (22±√(22)²-4(3)(35))/2(3)
x = 22±√(484-420))/6
x = 22±√(64)/6
We can simplify this as x = (11 + √64)/3 or x = (11 − √64)/3
Therefore, the roots of the given polynomial are:
x = 3 or x = 2/3
To solve the polynomial x³ − 5x² + 6x = 0 for its roots, we can factorize the polynomial as x(x² − 5x + 6) = 0
We can see that one of the factors of the polynomial is x = 0.
The other factor can be found by factorizing x² − 5x + 6 as (x − 2)(x − 3). Therefore, the roots of the polynomial are:
x = 0, x = 2, or x = 3.
To find the roots of the given polynomial, we use the quadratic formula since the quadratic trinomial a ≠ 1.
The roots of the given polynomial are x = 3 or x = 2/3.
We can solve the polynomial x³ − 5x² + 6x = 0 for its roots by factorizing it as x(x² − 5x + 6) = 0, which gives the roots as x = 0, x = 2, or x = 3.
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The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers
Answer:
1) The series of equations that can be used to find the numbers are
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) The first number is 6
The second number is 4
Step-by-step explanation:
1) The given parameters for the numbers are;
7 times the first number + 3 times the 2nd number = 54
The first number = The 2nd number + 2
Let 'x' represent the first number and let 'y' represent the second number
The following series of equations can therefore be used in finding the numbers;
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;
7·x + 3·y = 54
∴ 7×(y + 2) + 3·y = 54
7·y + 14 + 3·y = 54
10·y + 14 = 54
10·y = 54 - 14 = 40
y = 40/10 = 4
The second number = y = 4
The first number, x = y + 2 = 4 + 2 = 6
The first number, x = 6.
Select the correct days. Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F.
Answer:
[tex]Monday = -2.5F[/tex]
[tex]Tuesday = -1.9F[/tex]
Step-by-step explanation:
Given
See attachment
Required
Days colder than -1.75°F
From the attachment, we have:
[tex]Monday = -2.5F[/tex]
[tex]Tuesday = -1.9F[/tex]
[tex]Wednesday = 0F[/tex]
[tex]Thursday = -1.5F[/tex]
[tex]Friday = 0.5F[/tex]
Days with temperature less than -1.75°F are colder.
-2.5 and -1.9 are less than -1.75
So, we have:
[tex]Monday = -2.5F[/tex]
[tex]Tuesday = -1.9F[/tex]
Answer:
:)
Step-by-step explanation:
Maggie wants to make a special card for Valentine’s Day. She starts with a
square piece of red paper with a side length of 12 cm. She then pastes two white
semi-circles, each with radius 3 cm, and a white triangle onto the square sheet of
red paper, as shown below. Determine the total amount of area available in the white region for Maggie’s special valentine greeting.
Answer:
I don't know
Step-by-step explanation:
I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer
in this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = A right triangle with one leg labeled 66 millimeters and the hypotenuse labeled 79 millimeters. The angle that is opposite the 66 millimeter side is labeled x degrees.
Answer:
56.7°
Step-by-step explanation:
We solve this above question using the Trigonometric function of Sine
sin x = Opposite side/Hypotenuse
Opposite = 66mm
Hypotenuse = 79 mm
sin x = 66/79
x =arc sin(66/79)
x = arcsin(0.8354430379746836)
x = 56.661998553°
Approximately = 56.7°
Answer:
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x = 56.7
Step-by-step explanation:
Natalie read 3/4 of a book that was 120 pages long. how many pages does she have left?
Answer:
120/3 = 40 40x2 =80 120-80=40 the answer is 40 pages
Step-by-step explanation:
Ms. Fleener's fish tank has a bottom area of 102 square
centimeters. If the height of the fish tank is 12 centimeters, how
many cubic centimeters of water does the fish tank hold?
I
Answer:
1224 cm^3
Step-by-step explanation:
volume = bottom area x height
102x12=1224
The fish tank holds 1224 cc of water.
What is volume?In mathematics, volume is the space taken by an object.
Here, given that,
The area of the bottom of the tank =A= 102 cm²
now, the height of the water in tank = h= 12cm
we know, volume of water= A× h
=102×12 cc
=1224 cc
Hence, required volume is 1224 cc
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The sum of the first 8 terms of a GP is five times the sum of first 4 terms. Find the common ratio.
Answer:
1Step-by-step explanation:
Sum of nth term of a GP is expressed as;
Sn = a(r^n-1)/r-1
The sum of the first 8 terms of a GP is expressed as;
S8 = a(r^8 - 1)/r-1
The sum of first 4 terms is expressed as;
S4 = a(r^4 - 1)/r-1
If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then
S8 = 5S4
a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]
r^8 - 1 = 5(r^4 - 1)
r^8 - 1 = 5r^4 - 5
r^8 - 5r^4 = -5+1
r^4(r^4 - 5) = -4
r^4 - 5 = -4
r^4 = -4+5
r^4 = 1
r = 1
Hence the common ratio is 1
An equation of the line tangent to the graph of f(x)= (4x^2-8x+3)^4 at the point where x=1 is:
A.y-81=384(x-1)
B.x=1
C.y=1
D.y-1=3.37497(x-1)
E.y=5(x-1)
I need help using the Expand Group and Factoring method on this problem.
27a^2+72a+28
Answer:
1 x (27a^2+72a+28) or 1(27a^2+72a+28)
Step-by-step explanation:
First find the GCF (greatest common factor) of 27a squared 72a and 28. It is 1 because there is nothing else that can go in.
So put 1 outside the parentheses and keep the terms
1 x (27a^2+72a+28)
How can the decimal 1.245 repeating be written as a quotient of two integers?
Answer:
1244/999
Step-by-step explanation:
So we have 1.245245245245.... which we call x.
If we times this by 1000 (because 3 digits repeat) we get
1000x = 1245.245245245....
Subtract x from both sides:
999x = 1245.245245245... - 1.245245... = 1244
This means that x = 1244/999
This fraction cannot be simplified so this is the answer.
If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.
A jar contains 6 yellow and 8 blue gumballs. Two gumballs will be drawn at random without being replaced. If the first gumball drawn is blue, what is the probability that the second gumball will also be blue?
Answer:
I believe the answer would be 8/13 or 61.5%.
Step-by-step explanation:
Hope this helps :))
if I had 3 gold fish and 1 drown how many down. How many gold fish do I still have?
Answer:
3
Step-by-step explanation:
Fishes doesn't drown duh
Mark jogged 3 5/7 km. His sister jogged 2 4/5 km. How much farther did Mark jog than his sister?
Step-by-step explanation:
so therefore mark jogged 2 36/70km more than his sister
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.
Convert the mixed fraction number into a fraction number. Then we have
3 ⁵/₇ = 3 + 5/7 = 26/7
2 ⁴/₅ = 2 + 4/5 = 14/5
Then the number of kilometers that Mark jog more than his sister will be given as,
⇒ 26/7 - 14/5
⇒ 32 / 35 km
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
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Question: Which set of directions correctly describes how to plot the point (6, 2) on the coordinate plane?
A.Start at the origin. Move 6 units to the right, then move 2 units up.
B.Start at the origin. Move 6 units up, then move 2 units to the right.
C.Start at the origin. Move 6 units to the left, then move 2 units up.
D.Start at the origin. Move 6 units up, then move 2 units to the left.
I GIVE BRAINLIEST!
I need help with this question answer withing 5 mins URGENT!!!!
why did u click on this and what is 5 + 2
tbh I don't know why I clicked on it. I'm bored and the answer is 7
45.60$ meal with a an 18% tip
Answer:
53.81
Step-by-step explanation:
if u add the tip but the tip by itself is 8.21
On an inch ruler, which mark is halfway between the 12-inch mark and the 3-inch mark?
Answer:
8 and half 8/2 8.5, wait or 7/5 or 7.5
Step-by-step explanation:
Answer:
7 1/2
Step-by-step explanation:
Tell whether the two ratios form a proportion. 120 baskets made in 3 days and 720 baskets made in 18 days.
Answer:
Yes they form a proportion.
Step-by-step explanation:
120:3 = 720:18 because:
3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.
Need help please and thank you
Perimeter= 4x+8 and Area= 2x+1x^2+2
I posted a photo on how I found these two answer.
Hope this helped
Find an ordered pair (x, y) that is a solution to the equation. 6x-y=9
Answer:
(0, -9)
Step-by-step explanation:
-y= -6x + 9
y = 6x -9
plug in 0 for x
(0, -9)
What's the diameter of 2.5ft
Answer:
5
Step-by-step explanation:
3c+2d=-24 and 2c+5d= -38
Answer:
c=-4, d=-6
Step-by-step explanation:
lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what was his comission
Given:
Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.
Consider his last month sales is 38,000.
To find:
The total commission.
Solution:
4% commission on the first 10,000 of monthly sales is
[tex]10,000\dfrac{4}{100}=400[/tex]
Sales over 10,000 is
[tex]38,000-10,000=28,000[/tex]
10% commission on all sales over 10,000 is
[tex]28,000\times \dfrac{10}{100}=2,800[/tex]
Now, the total commission is
[tex]400+2,800=3,200[/tex]
Therefore, the total commission is 3,200.
Rhonda planted green beans on 67% of her farm. Rhonda's farm has 598 acres of land. Estimate the number of acres of green beans on Rhonda's farm.
Answer: 400 acres.
Step-by-step explanation:
We know that 598 is very close to 600, so we can round that amount up.
We also know that 67% is very close to [tex]\frac{2}{3}[/tex] because 2÷3≈0.67 & 67%=0.67
So, we can estimate [tex]\frac{2}{3}[/tex] of 600, which is about 400.
Consider the following two linear equations.
2x + y = 5
-2x + 2y = 4
Solve for the point of intersection using elimination
Point of intersection:
Answer:
(1,3)
Step-by-step explanation:
:)
algebra work needed please help
What is the value of (-4) (68) (1/4
Answer:
The answer is A
Step-by-step explanation:
Answer:
the correct answer is -68
please help me this is my test for the review of all the math i learned
Answer:
16.752
Step-by-step explanation:
Pls help me with this I have 5 minutes to do this I will give brainleast plzz
Answer:
The answer for the first one is 1/2.
The answer for the second one is -1/1
Step-by-step explanation:
Hope that helps you :)
The y-intercept is the point where the line crosses the
A. origin
B. slope
C. y-axis
D. x-axis