The resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
How to simplify fractional sumGiven the expression as shown in the question:
[tex]\frac{x-2}{x+3} + \frac{10x}{x^2-9}[/tex]
Find the LCM of the expression to have:
[tex]\frac{(x-2)(x-3)+10x}{(x+3)(x-3)}[/tex]
Expand the expression
[tex]\frac{(x^2 - 5x+6+10x}{(x+3)(x-3)}\\\frac {x^2 + 5x+6}{(x+3)(x-3)}\\[/tex]
Expand the expression
[tex]=\frac {x^2 + 2x + 3x +6}{(x+3)(x-3)}\\=\frac {x(x + 2) + 3(x +2)}{(x+3)(x-3)}\\=\frac{(x+2)(x+3)}{(x+3)(x-3)}\\ =\frac{x+2}{x-3}\\[/tex]
Hence the resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
Learn more on expansion here: https://brainly.com/question/52825
a salesperson at a jewelry store earns 6% commission each week. last week, jarrod sold $700 worth of jewelry. how much did he make in commission? how much did the jewelry store make from his sales?
Answer:
Commission 42.00
Store made $658.00
Step-by-step explanation:
What is the area of the triangle of (-5,6),(1,3),(-5,-3)
Answer :
Hey there! I'm happy to help!
To find the area of a triangle you multiply the base by the height.
We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.
To find the area of a triangle, you just multiply the base by the height then divide by 2.
5(8)=40
40/2=20
The area is 20 square units.
Have a wonderful day! :D
Is This What You Triangle Looks Like?
Lucy wants to make different types of pie. Each pie uses 3/4 pounds of flour. She has 3 pounds of flour.
How many pies can she make
Answer: 3 -:- 3/4 = p
If you apply the rules keep change flip
You will keep 3/1 change divisions to multiplication and flip 3/4 to 4/3 so new equation 3/1 x 4/3 = 12/3 then 12÷3= 4 so your answer will be 4 pies
Step-by-step explanation:
please help!! I'll give you brainlyest (however you spell it) just please!! A bottle of orange juice contains 750 mg of vi C and has 6 servings. A bottle of cranberry juice contains 135 mg of vitamin C las 1.5 servings. Mrs. Kahn wants to compare the amount of vitamin C in the juices.
How does the amount of C in each type of juice compare? One serving of ____ (answers are orange or cranberry) juice has ____ mg more vitamin C per serving than one serving of _____ (answers are orange or cranberry) juice
Answer:
One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice
Step-by-step explanation:
Rachel is a nurse she owns 12 vacation days after working 768 hours how many hours does Rachel need to work to earn one vacation day
Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca. Is he correct, if the sandwich sizes are different.
Answer:
Riley is correct
Step-by-step explanation:
Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca.
To find out the fraction of how much more Riley ate than Luca, we carry out Subtraction operation
= Fraction of what Riley ate - Fraction of what Luca ate
= 5/6 - 3/6
Lowe's Common Denominator = 6
= 5 - 3/6
= 2/6
Therefore, Riley is correct
5m+2-m=12m. solve for m. simplify the answer to
the lowest term.
Answer:
m=1/4
Step-by-step explanation:
5m+2-m=12m
4m+2=12m
2=12m-4m
2=8m
2/8=m
1/4=m
m=1/4
What is this? Help would be highly appreciated:)
Answer:
19
Step-by-step explanation:
straight line=180°
180-123=57
57/3=19
19*3=57
(13-2x^3+6x)-(7x^3+9-4x)
Answer:
if you simplify the expression you would get: -9x^3 + 10x + 4
Hope this helps:)
find the inequality represented by the graph
Answer: y>(1/3)x-3
Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.
A school committee needs 2 more students. How many ways can the committee be selected from a group of 10 students? 45 90 20 100
Answer:
45 ways
Step-by-step explanation:
The number of ways the committee of 2 can be selected from a group of 10 may be found using the combination theory.
10 C 2
Recall that n C r = n!/(n-r)!r!
Hence
10 C 2 = 10!/(10 -2)!2!
= 10!/8!*2!
= 10 *9 *8!/8!* 2!
= 10 *9/2 * 1
= 90/2
= 45
Answer:
45
Step-by-step explanation:
got it right on test
someone please help me, whoever gets it right i will mark brainliest
3x^2 6x^2 + 4x -8
2x. 9x^3 + 6x^2 -12x
x^2. 18x^2 + 12x - 24
6x^2. 3x^2 + 2x - 4
Triangle congruence and similarity! (picture included)
Answer:
yes; SAS (Side Angle Side)
Step-by-step explanation:
if you divide all sides by three they come out as the same numbers as the left triangle and they are both the same type of triangle
Solve
5x+y=-17 8x-3y=-18
Answer:
x = -3
y = -2
Step-by-step explanation:
Answer:
( x,y ) = ( 72/163,-3294/163
If
C
=
s
−
5
C=s−5 and
D
=
s
−
8
,
D=s−8, find an expression that equals
C
+
2
D
C+2D in standard form.
9514 1404 393
Answer:
C +2D = 3s -21
Step-by-step explanation:
Use the substitution property of equality.
C = s -5
D = s -8
Then the value of your expression is ...
C +2D = (s -5) +2(s -8)
= s -5 +2s -16
C +2D = 3s -21
Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x
Answer:
Step-by-step explanation:
Answer:
the x is 5
Step-by-step explanation:
x=5y+20:
x=5y+20
x=(5)(-3)+20
x=5 (simplify boy sides of the equation)
Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4. Giving brainliest!
Answer:
y=1/4x+1.5
Step-by-step explanation:
Slope is 1/4 and I figured out that the y-intercept point is 1.5y.
I am not exactly sure though
HELP PLS ITS ALL ONE QUESTION JUST PLSS HELP FOR EXTRA POINTS AND BRAINLEST!
Answer:
Section A - Ella left school
Section B - Ella climbed a steep hill
Section C - Ella stopped at a friends house
Section D - Ella walked quickly until she go home
A college surveys local businesses about
the importance of students as customers.
The college chooses 150 businesses at
random from telephone listings. Of these,
68 return the questionnaire. The sample is:
A. The set of all local businesses
B. The 68 businesses who returned surveys
C. The 150 businesses who were sent surveys
D. All the students at the college
Using sampling concepts, it is found that the sample is given by:
C. The 150 businesses who were sent surveys.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, a group of 150 businesses(sample) is taken from the telephone listings(all the businesses in the listings is the population), hence option C is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
#SPJ1
b. the 68 businesses who returned surveys
WILL GIVE BRAINLIEST!!!!!!!!!!!!!
f(x)=4^x
stretch vertically by a factor of 2
Answer:
f(x) = 4x^2 +2, hope this helps
Step-by-step explanation:
can somebody please help me with this, please make sure the answer is correct I need this assignment in and I need to get a good grade on it if I want to have a c on my report card, currently I have an F so yeah
Answer:
41
Step-by-step explanation:
Hey There!
So to solve this problem the first thing that we want to do is solve for x
angle P and angle S are supplementary angles meaning that they will add up to equal 180
so 180=8x+3+2x+7
step 1 combine like terms
8x+2x=10x
3+7=10
now we have
180=10x+10
step 2 subtract each side by 10
180-10=170
10-10 cancels out
now we have
170=10x
step 3 divide each side by 10
10/10 cancels out
170/10=17
so x=17
So remember in parallelograms opposite angles are congruent so angle Q is congruent with angle S
so we just plug in 17 into 2x+7 and we will get the value of angle Q
17x2=34
34+7=41
so angle Q = 41
1/3 x 3/8 with steps please. And thank you.
Answer:
(1/3) * (3/8) = 1/8
Step-by-step explanation:
Multiple: 1/3* 3/8
= 1 · 3/3 ·8
= 3/24
= 1 3/8·3
= 1/8
A bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to determine how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer. PLZ HELP PLZ PLZ
Answer:
123 purple
Step-by-step explanation:
164/4 = 41
41 = yellow
3 times more purple
41 x 3 = 123
Suppose it takes 2 1/2 h to drive from your house to the lake at 48 mi/h. How long will your return trip take at 40 mi/h?
Answer
The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.
I hope this helps
15 Points and brainliest to whoever answers correctly
Given right triangle ABC.
To the nearest tenth of an inch, find the length of side c, the hypotenuse
13.7
1.7
14.6
1.8
Answer:
14.6
Step-by-step explanation:
For this case we have the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Substituting values we have:
sine (20) = 5 / c
Clearing c:
c = 5 / sine (20)
c = 14.619022
Rounding:
c = 14.6 in
Answer:
c = 14.6 in
option 4
Rhea sells Fish-stick Sandwiches for $8 and Fish-stick Burritos for $9. One day, Maya bought 12 of items and paid $103.
* 20 points *
a triangle has vertices on a coordinate grid at N(2,-6), O(-10,-6), and P(2,7). what's the length in units of NO
The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?
Answer: The maximum height the football reaches = 51.89 feet.
Step-by-step explanation:
Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.
Differentiate the given equation, we get
[tex]h'=-(2)16t+53=-32t+53[/tex] (i)
Put [tex]h'=0[/tex]
[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]
Differentiate (i) w.r.t. t, we get
[tex]h''=-32[/tex] < 0 i.e. h is maximum at t= 1.65625
The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]
Hence, the maximum height the football reaches = 51.89 feet.
Me he gastado, primero, la mitad de lo que llevaba, despues, la mitad de lo que me quedaba. Que fraccion del total me he gastado
Answer:
Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.
Step-by-step explanation:
Asumamos que hacemos la compra en una pescadería y marisquería. Si la razón inicial equivale a 1, gasta inicialmente la mitad de la razón inicial, luego gasta la mitad de la razón resultante. El gasto se entiende como una forma de sustracción mientras que la sucesión como una multiplicación. Por consiguiente, tenemos el siguiente producto:
[tex]c = \left(1-\frac{1}{2} \right)\cdot \left(1-\frac{1}{2} \right)\cdot c_{o}[/tex]
[tex]c = \frac{1}{4}\cdot c_{o}[/tex]
Donde [tex]c_{o}[/tex] es la cantidad inicial.
Me ha quedado una cuarta parte de la cantidad inicial, es decir, me he gastado tres cuartas partes de la cantidad inicial comprando crustácea importada en la pescadería y marisquería.
classify this triangle
Answer:
Acute, equilateral
Step-by-step explanation:
Answer:
I believe it is an acute equilateral