Answer:
The answer is "[tex]\bold{(-\infty, \infty)}[/tex]"
Step-by-step explanation:
Given:
[tex]\to \bold{\frac{\frac{x^2-bx +ax - ab}{x2+bx-ax - ab}}{\frac{x2+bx+ax +ab}{x2-bx-ax+ab}}}[/tex]
[tex]\to \frac{x^2-bx +ax - ab}{x2+bx-ax - ab} \times \frac {x2-bx-ax+ab}{x2+bx+ax +ab}\\\\\to \frac{x(x-b) +a(x - b)}{x(x+b)-a(x +b)} \times \frac {x(x-b)-a(x-b)}{x(x+b)+a(x +b)}\\\\[/tex]
[tex]\to \frac{(x-b) (x+a)}{(x+b)(x-a)} \times \frac {(x-b)(x-a)}{(x+b)(x +a)}\\\\\to \frac{(x-b)}{(x+b)} \times \frac {(x-b)}{(x+b)}\\\\\to \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]
[tex]\to f(x) = \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]
So, the domain are [tex]\bold{(-\infty, \infty)}[/tex]
please help me answer this!! i will give brainliest and 5 star rating!!
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
7, 3, −1, −5, ...
need help please answer
Answer:62.73
sin-1 8 divide by 9
Solve for z.
|z| + 13 = 11
A. null set
B. z = –2
C. z = 24
D. z = –2 or 2
Answer:
[A] Null Set
Explanation:
|z| + 13 = 11Subtract 13 From Both Sides
|z| + 13 - 13 = 11 - 13
Simplify
z = -2
Absolute Value Cannot Be Less Than 0, Therefore There Is So Solution
[A] Null Set
Answer:
null set
Step-by-step explanation:
What is the slope of a line with points -5,7 and 1,1
Answer
6/-11
Step-by-step explanation:
use the slope formula m= [tex]\frac{y 2-y 1}{x 2-x 1}[/tex]
then sub in numbers m=[tex]\frac{7-1}{-5-1}[/tex]
now subtract numerator and the denominator
[tex]7-1= 6[/tex] and
[tex]-5-6=-11[/tex] this now looks like [tex]\frac{6}{-11}[/tex]
Use synthetic division to find the quotient if polynomial P(x) = x3 – 7x + 6 is divided by x – 2.
Question 17 options:
A)
x2 – 2x + 3
B)
x2 – 2x – 3
C)
x2 + 2x – 3
D)
x2 + 2x + 3
Answer:
C.) [tex]x^2+2x-3[/tex]
Step-by-step explanation:
They give us the function; [tex]P(x)=x^3-7x+6[/tex], which is then divided by the binomial, [tex](x-2)[/tex].
We can use polynomial synthetic division to solve this! First, let's understand how we must use it properly.
As we can tell from the function [tex]P(x)=x^3-7x+6[/tex] , there is an exponent value of 3, and an "invisible" exponent of one on -7x. When doing the synthetic division, we must put in a zero before we introduce the term '-7x' in our process of division.
The binomial [tex](x-2)[/tex] tells us that we are dividing the function by that, but we have to take the opposite value of the integer value, and here's why.
[tex](x-2)=0[/tex]
If we are trying to solve for 'x' here, we have to add plus sides by two, and we get x=2. That is what we have to put on the left side of the synthetic division we will use, we are essentially stating that one of the root/solution(s) to the function is 2, and we get verification of that when the synthetic division results in zero towards the end.
Then when the synthetic division has been done, since we are dividing by that binomial, we take out the values that we know already, which are '1', '2', and '-3', and take away one power of exponent to each of them (if applicable)
Thus, leaving us with our answer, [tex]x^2+2x-3[/tex].
The required quetient of the given expression is x² - 2x -3. Options C is correct.
What is synthetic division?It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.
here,
synthetic division is given as,
put divisor equal zero,
x - 2 = 0 so x = 2
Now,
Arranging the division with zero and coefficients and constant of the expressions,
2 | 1 0 -7 6
+ 2 4 -6
----------------------------
1 2 -3 0
So, the question, by synthetic division is given as x² + 2x -3.
Thus, the required quetient of the given expression is x² - 2x -3. Options C is correct.
Learn more about synthetic divisions here:
brainly.com/question/11850611
#SPJ2
30 points for anyone that can solve the question
The solution to this problem is 5/2a^2b^5
-2/3h-4=4/3
a. -3
b.-8
c.3
d.8
Answer:
its b
Step-by-step explanation:
SOMEONE HELP ME AGAINNN LOL
Answer:
open circle
Step-by-step explanation:
the open circle does not include the number. this is what you want because the solution is not equal to the number
After 6 years, approximately how much will Brandon have saved in interest by consolidating the two balances? a. $224.64 b. $935.28 c. $901.20 d. $145.44
i still need help im the highest in class but need help
Answer:
A 16%
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between points A and C.
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
Find the measure of the angle indicated
Answer:
60° and 67°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(49)
17x + 8 is an exterior angle of the triangle, thus
17x + 8 = 50 + 10x ( subtract 10x from both sides )
7x + 8 = 50 ( subtract 8 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
Thus
∠ C = 10x = 10(6) = 60°
(50)
99° is an exterior angle of the triangle, thus
2x + 10 + 6x + 1 = 99 , that is
8x + 11 = 99 ( subtract 11 from both sides )
8x = 88 ( divide both sides by 8 )
x = 11
Thus
∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°
What is 22 minus ( 22 times 22 ) divided by 0.000000000000000009 times 1084840280424024
Answer:
-5.5688467e+34
Step-by-step explanation:
Calculator :) P.S Can I have brainliest?
Answer:
-5.83403e+34
Step-by-step explain
Pls helppppppppp!!!!!!’
Answer:
it c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Rose how r u doing with Sofie???
Can I get the answer ?
Answer:
If the triangle is the same length on the right it will be the same on the left so its 62°
Step-by-step explanation:
Hey! Hoped I helped Im Eve btw Have an amazing day and consider marking this brainliest please. If you do thank you in advanced.
Answer:
58 degrees
Step-by-step explanation:
A triangle is 180 degrees total. 60+62= 122. 180-122= 58. The last angle is 58
Bruno claims that the solution to the linear equation −3(2x+6)+25=1 is x=1. He shows the steps below to justify his solution.
Answer:
Bruno is correct x=1
Step-by-step explanation:
-3(2x+6)+25=1
-6x-18+25=1
-6x+7=1
-6x=-6
1=x
The midpoint of EF is M(1. – 1). One endpoint is E (– 3,2). Find the coordinates of endpoint F
Step-by-step explanation:
fihdjshshsjsbshdhddjdhdndjdbdhdb jseheidbdhdhdbehdndndnsjdnsjdndndjsjdndhdh sorry
The coordinates of F(x,y) is (5,-4) with midpoint of EF is M(1,-1)
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.
Here, the mid point of line EF is M with coordinates (1,-1) with coordinates of E(-3,2) therefore, using mid point formula to find coordinates of F(x,y)
[tex]\begin{aligned}\frac{-3+x}{2}&=1\\x&=2+3\\&=5\end{aligned}[/tex]
and for y coordinates of F :
[tex]\begin{aligned}\frac{2+y}{2}&=-1\\y&=-2-2\\&=-4\end{aligned}[/tex]
Therefore, the coordinates of F(x,y) is (5,-4) with midpoint of EF is M(1,-1)
Read more about midpoint at:
https://brainly.com/question/28224145
#SPJ2
The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?
Answer:
15.243125
Step-by-step explanation:
we need to calculate how much would be the tax for 14.5$
so 14.5 * 5.125% = 0.743125
and then we will add that to 14.50
i dont feel like doing this i have to
Which expression is simplified in exponential form?
Step-by-step explanation:
theirs no expressions????
Can someone please help!!
Answer:
Step-by-step explanation:
the last one
60% of the teachers completed the last survey sent out from the school. If 30 teachers completed the survey, how many total teachers are at the school?
Answer:
50
Step-by-step explanation:
Let the number of teachers is t.
60% of t is 30
0.6t = 30
t = 30/0.6
t = 50
The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation:
1/2 divided by 3
IS THIS CORRECT?
A 2 fl oz bottle of orange juice costs $8, and a 4 fl oz bottle of orange juice costs $12. Which is a better buy?
ANSWER= 4 fl oz bottle of orange juice that costs $12 is the better buy.
Answer:
yes 4fl oz bottle of orange juice that costs $12 dollars is better to buy
Step-by-step explanation:
2 bottles of orange juice=8$
if you split 8$, you get 4$ that means each bottles of orange juice is 4$
so if you get 4 bottles of orange juice it is 4$x4$= 16$ The question says that 4 bottles cost 12$ its supposed to be 16$. So the 4 fl oz bottle of orange juice that costs 12$ dollars is better to buy.
1 bottle=4$ 2x4=8$ (the first equation)
1bottle=4$ 4x4=16 (the second equation) But the question says we got the bottle of orange juice for 12$ its supposed to be 16$ that is a huge discount. so yes the answer is correct.
What is the value of P?
Answer:
5P= 2P+21+45 ( sum of two sides is is equal to
the opposite exterior angle)
5P=2P +61
5P-2P=61
3P=61
p= 61÷3
p=2.33333
Answer:
p=22
Step-by-step explanation:
idek how i got this answer but i think its right.
A poetry class won a $325 prize. The 13 students in the class share the prize equally. How many dollars does each student receive(If you can please show your work!)
exposed clout chaser
Jason's family goes out to eat the bill was 102.73 they wanted to leave a 20% tip what will be the total after the tip
Answer:
$123.28
Step-by-step explanation:
Multiple 102.73 by 1.2 and get 123.28
Answer:
123.28
Step-by-step explanation:
hahhahahaha hahahah