The solutions to the given quadratic equation are x=11 and x=-3.
The given quadratic equation is x²-8x-33=0.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
By using splitting middle term method, we get
x²-11x+3x-33=0
x(x-11)+3(x-11)=0
(x-11)(x+3)=0
(x-11)=0 and (x+3)=0
x=11 and x=-3
Therefore, the solutions to the given quadratic equation are x=11 and x=-3.
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Solve the inequality for x.
–3x + 6 > 48
A) x –14
D) x > –18
A) x -14
Hope this helps!! :)
Need help with homework due tn!
Answer:
So before I answer this question may I ask a doubt, is this data handling?
a square number never end with 7 true or false
Step-by-step explanation:
true
hope it helps!
.......
345 divided by 5, answer in standard form
Answer:
345 divided by 5, answer in standard form
69 ....
Answer:
69
Step-by-step explanation:
Standard: 69
word : sixty nine
I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
2. Darwin believes that x + b is a factor of (x + b)3 + (x + c)2 – (b - c), while Eunju
believes it is not. Who is correct? Justify your response.
3. How can you prove that x2 + 5x + 6 is a factor of x* + 5x3 + 2x2 – 20x – 24, without
using long or synthetic division?
Answer:
2. Eunju is right
3. [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
Step-by-step explanation:
Polynomial Remainder Theorem
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:
[tex]f(x)=(x+b)^3+(x+c)^2-(b-c)[/tex]
To find out if x+b is a factor of f(x), we find f(-b):
[tex]f(-b)=(-b+b)^3+(-b+c)^2-(b-c)[/tex]
Operating:
[tex]f(-b)=(-b+c)^2-(b-c)[/tex]
The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex] without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:
[tex]x^2+5x+6 =(x+2)(x+3)[/tex]
Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:
[tex]f(x)=x^4+5x^3+2x^2-20x-24[/tex]
Find f(-2):
[tex]f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24[/tex]
[tex]f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0[/tex]
Find f(-3):
[tex]f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24[/tex]
[tex]f(-3)=81-5*27+2*9+60-24[/tex]
[tex]f(-3)=81-135+18+60-24 =0[/tex]
Since both f(-2) and f(-3) are zero, [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
A bowl holds 4 cups of rice if I use a measuring cup that holds 1/8 of a cup how many times will I need to fill the measuring cup in order to fill the entire bowl
Answer:
32 times
Step-by-step explanation:
It's SUPER easy, all you have to do is take that 1/8 and make it into a regular 8. Now all you do is multiply 4 by 8.
I know there's probably some way the teachers taught that's so much harder then it already is, but if you try to look at it from an easier perspective, you'll be a pro!
Try some more so you'll slowly start getting better at them! Anyway I hope this helped!!
You have 12 blue marbles, 6 yellow marbles and 2 green marbles. What is the ratio of blue marbles to total marbles?
awnser
12;8
Step-by-step explanation:
i belive its that if its not then its prolly 12;20 if you get it wrong i will give you points-
1. Find the point that is a solution for y = 6x + 8
A. (2, 1)
B. (-1,2)
C. (2,4)
D.(-2,4)
Help plz fast.
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
If the human brain operates at one billion billion calculations per second, why does a computer do maths faster than a person?
Don't answer, take the points.
Answer:
thanks bro
Step-by-step explanation:
Step-by-step explanation:
ggggggddfhhhjhhhjjjkkklllll
What is the value of this expression?
2+42 x 4 - 12
whats the answer
A bakery sells 12 cookies for $24.If each cookie costs the same amount,how much does 1 cookie cost,in dollars?
Each cookie costs 2$.
We can find how much each cookie costs by setting up an equation with x being the amount of cookies, and solve
12x=24 12 cookies equals 24 dollars
x=2 By simplifying and dividing both sides of the equation by 12, we get the variable on its own.
The price of one cookies in the bakery is found as $2.
What is the meaning of division?Each component of a division equation has its own name.
Dividend: A dividend is just the number divided during the division process.Divisor: The divisor is the number using which the dividend is divided.Quotient: A quotient is an outcome of the division process.Remainder: We can't always divide things exactly. There could be an extra number. The leftover number is known as the remainder.For the given question.
The cost of 12 cookies in a bakery is $24.
The cost of each cookie is same.
To find the price of each cookie divide the total amount by number of cookies.
Price of one cookie = 24/12
Price of one cookie = $2
Thus, the price of one cookies in the bakery is found as $2.
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If a car travels 180 miles in 4 hours, how many miles would it go in 6?
Answer:
270
Step-by-step explanation:
First, to find how far the car will go in one hour, you do 180 divided by 4. We already know that the car drives at a constant rate. If you do 180 divided by 4, you get 45. Then you multiply 45 by the amount of hours (6) to get 270
Please help me on this question
Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
Step 2: Find g(f(x))
Substitute: g(f(x)) = (x² + 6x + 7) + 2Combine like terms: g(f(x)) = x² + 6x + 9A model train is in a 3 inches to 80 inches scale. If the model door is 4 inches how tall is the real train door?
Answer:
80
Step-by-step explanation:
what is the BEST ANSWER for the slope of the line that contains the following points:
(14, 5) and (54, 12)
Answer:
7/40
Step-by-step explanation:
12-5=7
54-14=40
7/40
.
A Survivorship Life Insurance Plan insures how many people under one plan?
Answer:
the whole world
Step-by-step explanation:
Is 12n+60 equivalent to (n + 12) x 5 + 7n
Answer: 12n + 60
Step-by-step explanation:
So first you have to distribute the 5 in the parentheses.
(5)(n + 12) = 5n + 60
5n + 60 + 7n
Then add like terms.
12n + 60
The Steelers have won 6 out of 8 Super Bowl games. What is the fraction for games won
Answer:
6/8
Step-by-step explanation:
Find the slope of the line (5,2) and (4,2)
Answer:
undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-5/2-2
-1/0
When the denominator is 0, the slope is undefined.
Best of Luck!
Answer: There is no slope so 0
Step-by-step explanation:
Find the slope of UV.*
Ау
S(1, 4)
4
T(5, 3)
V-1, 2)
U(3, 1)
-2.
N.
4
6 x
Answer:
The slope of UV = 4
Step-by-step explanation:
Given the points
U(3, 1)V(-1, 2)Finding the slope of UV
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-3\right)[/tex]
[tex]m=\frac{-3-1}{-2-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of UV = 4
5x+2(x+6)
A.7x+6
B.7x^2+12
C.7x+12
D.7x(x+6)
What is 1 ten of 100
Answer:
It's 10
Step-by-step explanation:
Area model for division 427÷7
13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast
Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?
1 and4/15
Step-by-step explanation:
Estimate:
81 - 11.70 =
Answer:
the answer ur looking for
81 −11.7 ≈ 70
WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answer:
D
Step-by-step explanation:
From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.
117 students are both [enrolled in extracurriculars] and [female].
The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then
550 = x + 117
x = 550 - 117
x = 433
and the answer is B.
6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?
Answer:
0.92
Step-by-step explanation:
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
The $99.99 digital camera Mia purchased was on sale for 15% off. What
amount did Mia get off the price?
Answer:
84.99
Step-by-step explanation: