The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] and it can be determined by using LCM and fraction.
Given that,Expression;[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
We have to determine,Which expression is equivalent to the given expression?
According to the question,Expression;
[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
To determine the equivalent relation of the given equation following all the steps given below.
Step1; First take the LCM,[tex]\rm= \dfrac{15}{x-6}+\dfrac{7}{x+6}\\\\=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}[/tex]
Step2; Multiply the terms and simplify the equation,[tex]\rm=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}\\\\= \dfrac{15x+90 + 7x-42}{x(x+6) -6 (x+6)}\\\\= \dfrac{22x+48}{x^2+6x -6 x-36}\\\\= \dfrac{22x+48}{x^2-36}\\\\[/tex]
Hence, The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] .
For more details about Expression refer to the link given below.
https://brainly.com/question/14610993
Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm
Answer:
Step-by-step explanation:
h≈1.91cm
Which of these inequalities is graphed below? NA w 1519 he darrer 14 li AN W UM AN ww 12+ 9 6 3 wao WA ME BAL - 15 - 12-9-6-3 - WASSA 6 3 RES WORK 11122 wen M 1215 KA பா VA . BEL MON w AKS SHOP ܝܛܝܝ 1 L- ON IN 2002 151 A. y< 2x - 6 B. y s 2x – 6 C. y> 2x - 6 D. yz 2x – 6
I know the answer I want you to explain it
Answer:(-4,3)
Step-by-step explanation:
Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.
Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3
Given m | n, find the value of x and y.
X = 23
Y = 129
Hope this is helpful!
Answer:
i think x = 23, y = 129
Step-by-step explanation:
5x+14+3x-18 = 180
8x-4 = 180
8x = 184
x = 23
3x-18+y = 180
3(23)-18+y = 180
69-18+y = 180
51+y = 180
y = 129
Alebgra!!
Please help me fast now plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz i will give you alot of my points.
Question:
Find the perimeter of the rectangle with length (2w + 7) feet and width w feet.
Answer:
I think it's 18
Step-by-step explanation:
P=2(l+w)=2(7+2)=18
it's been awhile I believe this is it
What is the volume of a cube with sides of length 15 mm?
Find the change in profit in dollars for each owner.
A. –43,200
B. 675
C. –675
D. 5,39
The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?
Answer:
Slope of the line (m): 2.0
Y-intercept of the line (b): 2.0
Slope Intercept Form (y = mx + b): y = 2x + 2
Step-by-step explanation:
Slope intercept calculator lol
please help I give you 30 points
Answer:
The last one, 14 3/4
Step-by-step explanation:
I hope this helped :)
Find the degree of the monomial. -20.5
Answer:
0
Step-by-step explanation:
-20.5 is the same as -20.5[tex]x^{0}[/tex], since anything to the zero power is equal to 1.
Answer:
The degree of a monomial is the sum of the exponents of the variables.
Therefore,
The degree of the monomial - 20.5 is 0, because there is no variables only numeric terms.
Step-by-step explanation:
To find the degree of monomial.
Basically,
- If one term is present, then it is monomial.
- If two term is present, then it is binomial.
- If three term is present, then it is trinomial.
- If more than three term is present, then it is polynomial.
Which of the following proves these
triangles are congruent?
B
ASA
SAA
neither
Help plz
Answer: I’m pretty sure it’s SAA
Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.
The statement that proves that the triangles are congruent is SAA
From the figure, we have the following highlights
A corresponding side (S) on both triangles is equalTwo corresponding angles (AA) beside one another are also equalThis means that, the congruent statement is SAA i.e. Side-Angle-Angle
Hence, the statement that proves that the triangles are congruent is SAA
Read more about congruent triangles at:
https://brainly.com/question/1675117
The perimeter of the figure below is 135.8 in.
Find the length of the missing side.
Answer:
12.3
Step-by-step explanation:
subtract(its me again)
Davens pays $50 each week for guitar lessons. How much will he pay after 3/4 of a year
Use the GCF and the Distributive Property to find the sum. 26+39
Answer:
65--but the method is the important part that the directions indicated.
Step-by-step explanation:
26 + 39
(2 × 13) + (3 × 13)
The GCF is 13.
Factor the 13 out; it's like Distributive Property in reverse.
13 (2 + 3)
13 (5)
65
26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.
Answer:
13(2 +3)
Step-by-step explanation:
26 = 2·13
39 = 3·13
The greatest common factor is 13, so the sum can be written ...
26 +39 = 13(2 +3)
_____
Additional comment
Of course, the value of the sum is ...
13(2+3) = 13(5) = 65
Alternatively, the sum can be evaluated as ...
26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65
How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!
Answer:
9
Step-by-step explanation:
The coefficient is always the number before the variable (X).
Answer:9
Step-by-step explanation:
The coefficient is always by the variable (the number or letter)
If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.
Answer:
Step-by-step explanation:
a = 0
So that AOB makes a right triangle with sides 3-4-5
Answer:
a = 8
Step-by-step explanation:
Calculate AB using the distance formula and equate to 5
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )
d = [tex]\sqrt{(3-0)^2+(a-4)^2}[/tex]
= [tex]\sqrt{3^2+(a-4)^2}[/tex]
= [tex]\sqrt{9+(a-4)^2}[/tex] , then
[tex]\sqrt{9+(a-4)^2}[/tex] = 5 ( square both sides )
9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )
(a - 4)² = 16 ( take square root of both sides )
a - 4 = 4 ( add 4 to both sides )
a = 8
Pls Help T^T ASAP FIRT TO ANSWER GETS BRAINLIEST
Answer:
The answer would be the third one shaded circle at -1 arrow goes left.
Please help I don’t understand please!!!
Answer:
y>5.5
Step-by-step explanation:
4y+3>2y+14
Subtract 2y from both sides.
2y+3>14
Subtract 3 from both sides.
2y>11
Divide 2 by both sides.
y>5.5
-hope it helps
the (y) and mean 1 and you need to multiply al number
C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute
Answer:
he can shoot 12 shots in 1minute
Step-by-step explanation:
3minutes = 36 shots
1 minute= 36 divided by 3 which is equal to 12
NEED HELP QUICK I WILL GIVE BRAINLIST
Answer:
What is it that you need?
Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.
Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?
Following the proportions given in the table, it is found that in the 7th arrangement, there will be:
28 daisies.7 tulips.From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:
There are 4n daisies.There are n tulips.Hence, in the 7th arrangement, there will be:
28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.You can learn more about proportions at https://brainly.com/question/24372153
Can someone please take the time out of they’re day and help me and with this question
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line
m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50
The line crosses the y- axis at (0, 100 ) ⇒ c = 100
y = 50x + 100 ← equation of line
where y is monthly savings and x the time in months
(b)
Slope is the monthly deposit , that is $50 per month
The y- intercept indicates the original amount in her account , that is $100
B =
Round your answer to the nearest hundredth.
Work Shown:
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(B) = 2/3
B = arcsin(2/3)
B = 41.8103 approximately
B = 41.81
Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
How to to it with step by step explanation
[tex]15^{5} \div 15 ^{7} [/tex]
Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex][tex]15 ^{ 5 - 7} [/tex]
[tex]15 ^{ - 2} [/tex]
[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]
Which of the following points lie in the solution set to the following system of inequalities? y > â’3x 3 y > x 2 (2, â’5) (â’2, 5) (2, 5) (â’2, â’5).
Answer:
The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system
can someone help me :
Answer:
A: yes
B: yes
C: no
D: no
E: no
Hope This Helps!!!
Answer:
s = -2
s = -8
Step-by-step explanation:
negative numbers get smaller and smaller the farther they are from zero
Someone pls help me with these 4 questions pls asap for BRAINLIEST and 100 points
Answer:
5. (-1,-1)
6. (6,-9)
8. (1,2)
9. (-1,0)
Step-by-step explanation:
5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x
6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.
7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y
8. same as above but with x then find y
some one plz help!!! due in 10 min
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
First of all, we should add 34 and 32:
34+32=66
Now, let's divide both sides by 9:
66÷9=7.3333...
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds