The sum of the rational expression is (4x²+14x)/ (x²+6x+8)
How to find the sum of the rational expression?
A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.
To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):
3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)
= [3x²+12x + x²+2x] / (x²+4x+2x+8)
= (4x²+14x)/ (x²+6x+8)
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At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The
temperature increased and the snow began to melt at a steady rate. There was a depth
of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth
of snow was down to 12 inches. Write an equation for S, in terms of t, representing
the depth of snow on Emily's lawn, in inches, t hours after the snow stopped falling.
Answer: S
Submit Answer
Oh
Answer:
[tex]y = \frac{4}{3}x + 15[/tex]
Step-by-step explanation:
•First we must find out how many inches of snow melted so we can find the slope.
15 inches - 12 inches = 3 inches
•The snow melts 3 inches every 4 hours. This statement can be rewritten as:
[tex]\frac{4}{3}[/tex]
•We know that the snow started at 15 inches so that will be our y-int.
•Now we can start combining these terms to create an equation.
[tex]m = \frac{4}{3}[/tex]
[tex]b = 15[/tex]
•All we have to do is substitute these terms for the corresponding variables.
[tex]y = mx +b[/tex] → [tex]y = \frac{4}{3}x + 15[/tex]
[tex]y = \frac{4}{3}x + 15[/tex]
Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
What is the slope???
Answer:
[tex]m=1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -1)
Point (1, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+1}{1-0}[/tex]Add/Subtract: [tex]m=\frac{1}{1}[/tex]Divide: [tex]m=1[/tex]Evaluate the expression (ab)² for a=4 and for b=3
Answer:
144
Step-by-step explanation:
(3 × 4)² = 144
You solve 3 × 4 first because parentheses come before exponents in PEMDAS.
(1.2 x 105)2 + (3.11 x 1010) = ?
Simplify the ratio 12:8 and write the ratio in all three forms.
Answer:
Step-by-step explanation:
1. Simplify
greatest common factor = 4
3:2
a. 3 to 2
b. 3:2
c. 3/2
pls help me do last question, step by step for understanding
Let's ignore the four corners for now.
Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top
Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.
Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.
So far we calculate 58+58+30+30 = 176 tiles
Add in the four corners to get 176+4 = 180 tiles total
-------------------------
A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.
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A tank can hold 40,000 gallons of water. If 500 gallons of water are
used each day, write the equation that represents the amount of water
in the tank x days after it is full.
Answer:
25
Step-by-step explanation:
what must be added to -3/8 to get 5/16 ?
Answer:
[tex]\frac{11}{16}[/tex]
Step-by-step explanation:
[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]
x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]
x = [tex]\frac{11}{16}[/tex]
-3/8=5/16
put x after -3/8 to find 5/16
-3/8+x=5/16
find x
move -3/8 to the other side
sign changes from -3/8 to 3/8
-3/8+3/8+x=5/16-3/8
x=5/16-3/8
find the common denominator which is 16
multiply by 2 for -3/8
(-3)(2)=-6
(8)(2)=16
x= 5/16--6/16
negative sign and negative sign= +positive sign
x= 5/16+6/16=11/16
answer: x=11/16
Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.
Answer:
48+x=75
Step-by-step explanation:
Subtract 48 from both sides. 75-48 is equal to 27. x=27
Answer:
x [tex]\geq[/tex] 27
Sally has to complete at least 27 more hours
Step-by-step explanation:
Let x represent the number of hours she will complete next
Since students need at least 75 hours, use a greater than or equal to sign.
The total number of hours that Sally will complete can be represented by
x + 48, since she has already done 48 hours.
Use the greater than or equal to sign, and put 75 on the other side:
x + 48 [tex]\geq[/tex] 75
Next, solve the inequality:
x + 48 [tex]\geq[/tex] 75
x [tex]\geq[/tex] 27
So, Sally has to complete at least 27 more hours.
does the graph represent a function? yes or no lol pls help
An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.
Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
What is -19 equal to
Answer:
-19
Step-by-step explanation:
Is f(x)=6x2-13 one to one function? Show with full process
Please answer my question and you will mark as Brainly
Answer:
It is not a function thats all I know sry
Step-by-step explanation:
.53х^2 – .6х^3
Standard form
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.
Answer:
Horizontal axis is X
Vertical Axis is Y
You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be
Battleship maybe? Or like the longitude and latitude on a map?
A map is a real-world example of a coordinate plane.
What is a coordinate plane?A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.
On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.
To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.
A map is a real-world example of a coordinate plane.
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i will give brainliest 6th grade math
Answer:
A
Step-by-step explanation:
when you divide a fraction, you actually multiply by the reciprocal
Answer:
The correct answer is A, 4/5 x 5/4.
Step-by-step explanation:
I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
The relationship between the number of pounds (lb) of cereal and the price in dollars is shown in the graph. What is the unit price of cereal?
Answer:
D
trust me I got it right
Solve for the value of p.
Answer:
p=13
Step-by-step explanation:
set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13
What is 40% of 60????
Answer: 40% of 60 = 24
Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²
Answer:
[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]
Step-by-step explanation:
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7100 7 100 said mashed potatoes. Which food is more popular? How do you know?
Answer:
Turkey is more popular
Step-by-step explanation:
Turkey is more popular
From the given information:
We are being informed that 9% of the people said turkey; &
7/100 said mashed potatoes.
The percentage of people that chose mashed potatoes = 7%
This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.
How do I solve this radical and then check all the solutions?
Answer:
This problem of equations involving surds can be solved by :
Firstly,square both sides of the equation to do away with the surd
(√x+3)²=(x-3)²
Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS
x+3=x²-6x+9
Rearranging leads to:
x²-6x-x+9-3=0
x²-7x+6=0 which factorises to:
(x-6)(x-1)=0
Finding the zeros leads to
x=6 or 1
We now conduct a test to see which value(s) of x satisfy the equation
√6+3=6-3
√9=3
3=3, so x=6 is true
Now for 1,
√1+3=1-3
√4 is not equal to -2
Therefore we conclude that x=6
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
The axis of symmetry of the graph of h is x = - 3. which ordered pair represents the additional point on the graph of h?
Answer: (1,-5)
Step-by-step explanation:it’s the answer
pls ayuda es para hoy mismo y es un examen
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
A construction crew built
1/2
miles of road in
1/8 days.
What is the unit rate in miles per day?
Write your answer in simplest form.
Answer:
4 miles in 1 day
Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
please help and thanks