Answers
The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]
Functions and equationGiven the following function as shown:
[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]
This can be factorized as:
[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]
Cancel out the common terms:
[tex]f(x) = \frac{x+3}{x}[/tex]
Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\
Learn more on functions here: https://brainly.com/question/10439235
Hi Phoenix! :)
I'm much late lol.
Answer:
[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]
Step-by-step explanation:
Given:
[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]
Solution:
[Here the best option is to factorise the expression.]
Rewrite the numerator of the expression as
[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]
It can be seen that the numerator is like an algebraic identity:
> a² - b² = (a+b)(a-b)
ATP, numerator : a = x² and b = 3²
[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]Now in the denominator take x common:
[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex](x-3) in the denominator and (x-3) in the numerator gets canceled.
[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]Welp,Done, that's it! :D
Related Questions
June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information
Answers
Answer:
x/2=53.7
Step-by-step explanation:
x/2=53.7
x=107.4
Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0
Answers
The two roots are
[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]
Hence the answer is D.
I need help! Does anyone understand?
Answers
Answer:
the answer should be G or H
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
Answers
Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
Can someone please help me
Answers
Answer:
The linear ones
options 1 and 3
Step-by-step explanation:
4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively
2 is asymptotic to the negative x axis on the positive side
Find the factorization of the polynomial below.
81x2 + 72x + 16
Answers
Answer:
9 x + 42.
Step-by-step explanation:
Answer:
72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178
Determine the total of each rectangle.Each number inside the rectangle represent the area of the smaller rectangle while each number along the side represents the length of the position on the side
Answers
Answer:
Hmmm, maybe this?
Step-by-step explanation:
Find the measure of <2
Answers
Answer:
<2 = 28°
Step-by-step explanation:
3y+ 53 = 7y -55 (Corresponding angles)
collect like terms
-4y= -108
y= 27°
3y-53 = 28
<2 =28° (Alternating angles ; 2 parallel lines)
Please help questions is down below.
Please answer all!
No bots pls!!!!!! Ill give brain thing
Answers
Question 2: 19/24 (not completely sure)
Question 3: 11/21
What is the Nth term rule of the Quadratic sequence -5 -4 -1 4 11 20 31
Answers
Step-by-step explanation:
an = A×n² + B×n + C
a1 = -5 = A×1² + B×1 + C = A + B + C
a2 = -4 = A×2² + B×2 + C = 4A + 2B + C
a3 = -1 = A×3² + B×3 + C = 9A + 3B + C
a2 - a1 = -4 - -5 = 1 = 4A+2B+C-A-B-C = 3A + B
3A = 1 - B
A = (1 - B)/3
a3 - a2 = -1 - -4 = 3 = 9A+3B+C-4A-2B-C = 5A + B
3 = 5A + B = 5(1 - B)/3 + B
9 = 5(1 - B) + 3B = 5 - 5B + 3B = 5 - 2B
4 = -2B
B = -4/2 = -2
A = (1 - -2)/3 = (1 + 2)/3 = 3 / 3 = 1
-5 = A+B+C = 1 - 2 + C = -1 + C
-4 = C
so,
an = n² - 2n - 4
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
Answers
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
what is 5 sixths of a full rotation
Answers
Answer:
300°
Step-by-step explanation:
what is 5/6 of a full rotation?
A full rotation is 360°
360 * 5/6 = 300°
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Answers
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1
what is x over 5 = -3 find x value
Answers
5*-3=-15
x=-15
hope this helps
Answer:
x = -15
Step-by-step explanation:
[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]
please help me on my math , I need help :(
Answers
Answer:
ask sombody else
Step-by-step explanation:
guess we dont
How many pints are equivalent to 2 1/4 gallons.
Answers
Answer:
21.6171
Step-by-step explanation:
Have a great day!
Which expression does not have a solution of 14, if w = 9?
a. w + 5
b. 5 + w
c. 23 - w
d. w - 9
Answers
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answers
Answer:
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
Step-by-step explanation:
CREDIT FOR ANSWER GOES TO
calderonj4588
40 out of 50 birds are female. total number of birds is 1,120, how many of them would be female
Answers
Answer:
896
Step-by-step explanation:
40/50 = 80%
80% of 1120 is 896
The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).
Answers
Answer:
Step-by-step explanation:
Let the lowest integer be x, then:
x + x + 1 + x + 2 + x + 3 = -28.
Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!
The following relation is a variation. Which description best represents the relation?
Answers
Answer:
x and y are directly related because y = -3x
Step-by-step explanation:
3^9 times 3^7 in exponential form
Answers
Answer:
3¹⁶
Step-by-step explanation:
While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add
Hope this helps!
Answer:
You can just add the exponents power
9+7=16
So its 3^16 in exponential form
You can think of it like this.
for 3^9 its
3*3*3*3*3*3*3*3*3
And for 3^7 its
3*3*3*3*3*3*3
Now your multiplying them all together.
Really your jsut adding the value so in the end
3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
So its
3^16
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11
Answers
Answer:
21
Step-by-step explanation:
5(7-4)*2/3+11
5*3*2/3+11
15*2/3+11
30/3+11
10+11
21
Answer:
21
Step-by-step explanation:
Subtract 4 from 7
5 ⋅ 3 ⋅ 2 ÷ 3 + 11
Multiply 5 by 3.
15 ⋅ 2 ÷ 3 + 11
Multiply 15 by 2.
30 ÷ 3 + 11
Divide 30 by 3.
10 + 11
Add 10 and 11.
21
please need help on this question thanks. see the screenshot
Answers
Check the picture below.
F = sales for Friday
we know that the total of weekend sales for Germany was F + 317 + 405.
we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]
Tell whether the fractions are equivalent. Write = or
2/3 ______ 4/6
Answers
[tex]\dfrac 23 = \dfrac{2 \times 2 }{3 \times 2} = \dfrac 46[/tex]
help for most brain! lol
Answers
Answer:
Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.
Step-by-step explanation:
find the area of a circle when the radius is 10cm. Take the value of pi as 3.14
Answers
Answer:
314.16 cm squared
Step-by-step explanation:
A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?
Answers
Answer:
4.85 mailes can be running for runners
61 = 7 - 6x
this is 8th grade math
Answers
Answer:
x = -9
Step-by-step explanation:
Solve:
61 = 7 - 6x54 = -6xx = -9-Chetan K
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]
______
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
In the figure below, BD and AC are diameters of circle P.
What is the arc measure of minor arc DC in degrees?
Answers
Answer: 19
Step-by-step explanation:
2 lines crossing create 2 pairs of equal angles. The opposite angles are the same. Same goes in a circle.
9514 1404 393
Answer:
arc DC = 19°
Step-by-step explanation:
The acute central angles are vertical angles, so have the same measure. Vertical angles with the same measure intercept arcs with the same measure. The measure of the arc is the measure of the central angle it subtends.
Arc AB = Arc DC = 19°
