On simplifying the given expression 4/x-2/x^2+1-2/x+1 we get solution as (2x^2 + 2x - 2)/x^2.
What is the meaning of simplifying a n equation?
To simplify a phrase, create an equivalent expression without any terms that are identical. The expression will then be rewritten using the fewest terms feasible.
We have given:
[tex]\frac{4}{x} - \frac{2}{x^2} +1 - \frac{2}{x} + 1[/tex]
Adding the numbers:
[tex]\frac{4}{x} - \frac{2}{x^2} - \frac{2}{x} + 2[/tex]
Making a common denominator:
[tex]\frac{4x}{x^2} - \frac{2}{x^2} - \frac{2x}{x^2} + \frac{2x^2}{x^2}[/tex]
Combining the values with common denominator:
[tex]\frac{2x^2 + 2x - 2}{x^2}[/tex]
This the the simplified result of the given expression.
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Why do you think 900km is less than the perimeter of the of Bhutan (about 1075km)?
900km is less than the perimeter of the of Bhutan about 1075km.
Describe perimeter.The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The surface of a shape's area is measured.
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The cross country team ran 1.772 hours yesterday and 1.49 hours today. Each member of the team ran 3.5 miles every hour. How many miles did each member run yesterday?
The distance that member of the cross country team ran is 6.2 miles yesterday.
How to calculate the amount each team member will pay?Distance is a numerical or qualitative measurement of the distance between two objects or points. Distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.
The cross-country team ran 1.772 hours yesterday, today they ran 1.49 hours Each member of the team ran 3.5 miles every hour.
The number of miles attained by each member of the team yesterday can be calculated as follows:
3.5 × 1.772= 6.2
Hence for yesterday each member of the team ran for 6.2 miles.
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is m parallel to n if so state the theorem you can use
Is this a function if so explain if not explain
if the base of a rectangle is 12cm and the area is 345 cm², what is the height of the rectangle
Answer: 28.75 cm
Step-by-step explanation:
Using the formula for the area of a rectangle, we can plug in our known values and solve for the height.
A = B * H
(345 cm²) = (12cm) * H
28.75 cm = H
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find the measure of each missing angle in the parallel lines and transversals below
The equation is 10x=2x+60
x=15/2
∠CFH=75
∠CBD= 75
We are dealing with parallel lines, which are the lines that are equidistant to each other and never meet, will never meet, when such lines are crossed by another line called the transversal creates many angles such as corresponding angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive angles.
Since, angle CBD and angle CFH are the corresponding angles and they are equal to each other, we are given CBD=2x+60 and CFH = 10x
therefore , 10x=2x+60
=>10x-2x=60
=>8x=60
x=15/2
So, the angle CBD= 2x+60= 2(15/2)+60= 75
and the angle CFH = 10x= 10(15/2)= 75
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Help me please will give brainlist
Answer:
1
5
Step-by-step explanation:
y = mx + b
b = -5 (the y-intercept)
m = 1/1 = 1
y = x - 5
If 3x - 14 + 3x +9 = 103 what does X equal?
Anwser is 18
I used a website
Answer: x = 18
Isolating a variable: rearranging the equation to make the variable on side of the equation and the others on the other side
1. Collect like terms
2. Inverse operations to isolate
3. simplify if necessary
Calculations:
[tex]3x -14 +3x +9= 103[/tex]
Collect like terms: [tex]6x -5 =103[/tex]
3x and 3x are alike and -14 +9 are alikeInverse operations:
[tex]6x = 103 +5[/tex]
[tex]6x= 108[/tex]
[tex]\frac{6x}{6}=\frac{108}{6}[/tex]
∴ [tex]x= 18[/tex]
(Geometry 1)
#14 please answer quickly❗️
Rewrite in simplest terms: -2(k+1)-6k
Answer:
-8k -2
Step-by-step explanation:
You want the simplified form of -2(k+1)-6k.
SimplificationThe process of simplifying an algebraic expression includes ...
removing parenthesescombining like termsParentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.
-2(k +1) -6k
= (-2)(k) +(-2)(1) -6k = -2k -2 -6k
Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)
= (-2 -6)k -2 = -8k -2
The simplified expression is -8k -2.
What is the geometric definition of this angle?
Answer: It is obtuse
Step-by-step explanation: the angle looks greater than 90 degrees :)
Is x = 6 a solution to the equation 5(x - 3) = x + 13?Follow the steps to find out.1. Rewrite the equation 5(x - 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.Write your answer in the space below. 2. Simplify both sides. Show your work.Write your answer in the space below.3. Is x = 6 a solution to the equation? Why or why not? Write your answer in the space below.4. Find a value of x that is a solution to 5(x-3) = x + 13.Write your answer in the space below.
The given equation is
5(x - 3) = x + 13
We want to test if x = 6 is a solution. We would substitute x = 6 into the equation. We have
5(6 - 3) = 6 + 13?
5(3) = 6 + 13?
15 = 19?
Since both sides of the equation is not equal, then
x = 6 is not a solution of the equation
Anna model airplane, the scale is 5 cm equals 2 m. If the models wingspan is 28.5 centimeters camera what is the actual wingspan?
Answer:
11.4 m
Step-by-step explanation:
2m / 5 cm * 28.5 cm = 11.4 m
2x+3x+4x=180 what’s x
[tex](2x + 3x + 4x) = 180 \\ 9x = 18 \\ \frac{9x}{9} = \frac{180}{9} \\ x = 20[/tex]
ATTACHED IS THE SOLUTION with the steps.
Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? 1 + 3 2 5 + | - 10 | ÷ 2 Step 1: = 1 + 3 2 5 + 10 ÷ 2 Step 2: = 1 + 9 5 + 10 ÷ 2 Step 3: = 10 5 + 10 ÷ 2 Step 4: = 2 + 10 ÷ 2 Step 5: = 12 ÷ 2 Step 6:
Answer:
step 1 is correct
Step-by-step explanation:
when you find the absolute value of a number i.e | | the result is always positive
eg |-20| = 20
step 1 is correct
A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle of oil weighs 400 grams.
Assuming the question is : How much does x liters/milimeters of oil weigh?
First, we calculate how much mass did the bottle of oil lose : 590 - 400 = 190 (grams)
Since it loses 190 grams after Sophia uses 200 milimeters of oil, 200 milimeters of oil weighs 190 grams (yes.)
-> 1 milimeter of oil weighs : 190/200 = 0.95(grams)
So, to calculate the mass of x *liters* of oil, we take 0,95 x 1000 times x.
For example : To calculate the mass of 22,5 liters of oil, we take 0,95 x 1000 x 22,5 = 21375 (g) or 21.35(kg).
Would you be able to help me on this question
a) From the exercise we can identify 3 unknowns from the 3 funds
• Large Growth = ,LG
,• Small Growth = ,SG
,• Large Value = ,LV
b)
[tex]\begin{gathered} LG+SG+LV=10,000\to(1) \\ LG=SG+2,000\to(2) \end{gathered}[/tex]Phindi is an athlete . as part of her training, she runs around the outside of a circular track that has a radius of 88m. as part of her training, she has to run 12kmon the track. how many circuits of the track will she have to run?
It takes Phindi to run almost 22 tracks to cover 12kms
Given that,
First you have to figure out the length of the track whihc is circumference of circle ,
r is the radius of circular track which is 88m
The athlete has to run 12km on the track
Circumference of circle = 2πr
Solving circumference will give length of the circular track which is,
Circumference of circle = 2(3.14)(88)
=552.6 meters
If she covers 552.6 m whe runs one circular track then,
1 circular track -------- 552.6 meters
? circular track -------- 12000 meters or 12 kilometers
No of circular tracks = 12000/552.6 = 21.7 tracks
Therefore, It takes Phindi to run almost 22 tracks to cover 12kms
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Kaia's mom is having triplets. Each baby could be either male or female.Which outcome would be included in the compound event "at least twomales"?
MFM (option A)
Explanation:Outcome could be male or female
At least two male means the minimum of number of men that we would have in the sample space outcome is 2.
The outcome that satisfies this are:
MMM, MMF, MFM, FMM
From the above, the one in the options is MFM (option A)
Which of the following is a solution to the equation
2x² + 4x = 3 + 3x²
Answer:
x = 1 or x =3
Step-by-step explanation:
2x² + 4x = 3 + 3x²
2x²-3x²+4x -3 = 0
-x² + 4x -3 = 0
by calculator:
x = 1 or x =3
can anyone help me with this
Step-by-step explanation:
Since area = 27cm²
area = 3 × (x + 4)
27 = 3(x + 4)
expand the right side
27 = 3x + 12
move 12 to the left side and subtract it with 27
15=3x
then divide both sides with 3
x=5
A segment that is both an altitude and a median of a triangle is a?
A segment that is both an altitude and a median of a triangle is a perpendicular bisector.
A median is a segment from a vertex to the midpoint of the opposite side. There are of course three medians of a triangle; they’re concurrent, meeting at a point called the centroid.
An altitude is a segment through a vertex that’s perpendicular to the opposite side; the foot of the altitude (at the point of perpendicularity) either on the side or on the line resulting from extending the side. The three altitudes of a triangle are also concurrent, meeting at a point called the orthocenter.
And when both the altitude and a median of a triangle are the same, then it is called a perpendicular bisector.
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Solve the inequality.
3x+6<3(x-7)
Simplify both sides of the inequality.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }[/tex]
Subtract 3x from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6-3x < 3x-21-3x } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6 < -21 } \end{gathered}$} }[/tex]Subtract 6 from both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{6-6 < -21-6 } \end{gathered}$} }[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }[/tex]
There are no solutions.Standard form: x ∈ ∅Answer:
0 < - 27
Step-by-step explanation:
1. Distribute
3x + 6 < 3(x-7)
3x + 6 < 3x - 21
2. Subtract 6 from both sides
3x + 6 < 3x - 21
3x + 6 - 6 < 3x - 21 - 6
3. Simplify
subtract
3x + 6 - 6 < 3x - 21 - 6
3x < 3x - 21 - 6
subtract
3x < 3x - 21 - 6
3x < 3x - 27
4. Subtract 3x from both sides
3x < 3x - 27
3x - 3x < 3x - 27 - 3x
5. Simplify
combine like terms
3x - 3x < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < 3x - 27 - 3x
0 < - 27
And that is how you get your answer
(Theoretical Probability LC)
When given a set of cards laying face down that spell M, A, T, H, I, S, F, U, N, determine the probability of randomly drawing a consonant.
The probability of drawing a consonant from the given set of cards is 0.66.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The given letters are M, A, T, H, I, S, F, U and N.
Total number of letters are 9.
The number of vowels is 3.
Then, the number of consonants is 9 - 3 =6.
Now, the probability for choosing consonant is given as follows,
P(Consonant) = Number of Consonants ÷ Total letters
⇒ 6/9 = 0.66
Hence, the probability of randomly drawing a consonant is given as 0.66.
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Answer: 6/10 is answer
Step-by-step explanation:
Just trust please
Name:Unit 4: Congruent TrianglesHomework 4: Congruent TrianglesDate:Per:** This is a 2-page document! **1. Write three valid congruency statements given the triangles below.тHDa)b)MD-Wc)Directions: Given the congruency statement, list all congruent angles and sides,2. ΔΑΒΕ ΔΜΝΡ3. AQRY AJLSAnglesSidesAnglesSidesWrite another valid congruency statement:Write another valid congruency statement:4. Given ASTU AKLM, complete each of the following statements.Ua) TITd) MALIST
Firstly, congruent angles are equal
The three statements are
1. Triangle PTW = Triangle HGD
2. Triangle WPT = Triangle DHG
3. Triangle TWP = Triangle GDH
From the figures, it was observed that they are similar
When you look at the figures very well
You will observed that Triangle PTW is Similar to triangle HGD
They both have similar properties
Ashley is a software saleswoman. Her monthly salary is $2200 plus an additional $40 for every copy of math is fun she sells. Let S represent her total salary (In dollars), and let N represent the number of copies of math is fun she sells. Write an equation relating S to N and then graph your equation using the axes below
The equation of S in terms of N is S(N) = 2200 + 40N
How to determine the equation that relates S to NFrom the question, the given parameters are
Monthly salary = $2200
Additional earnings = $40 per copy of Math fun sold
The equation that relates S to N is then calculated as
Total = Monthly salary + Additional earnings x Number of copy of Math fun sold
Substitute the known values in the above equation
So, we have
S(N) = 2200 + 40N
So, the equation is S(N) = 2200 + 40N
See attachment for the graph
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34 is the product of gornan age and 2
Answer:
17 * 2= 34
therefore, 17 and 2 are the factors of 34
Step-by-step explanation:
are the following solutions to the equation y=1/3x-2?
Answer: y-intercept (0,−2) and the slope is 1/3
Geometry homework
Please help me figure this out
According to the solving the space between Arthur and Jamie are 39.1 meters.
What is a coordinate system?A coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
how to locate Distance between two points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=√((x2 – x1)² + (y2 – y1)²). is a typical formula for determining the separation between two places. Any two sites on an x-y plane or coordinate plane can have their distance between them calculated using this equation.
According to the given data:location of Arthur is (20, 30)
location of Jamie is (45, 60)
Let's apply the rule of distance to determine how far away they are because we know that :
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
let substituting the value we get:
d = √((X₂ - X₁)² + (Y₂ - Y₁)²)
d = √((45 - 20)² + (60 - 30)²)
= √(25)² + (30)²)
= 39.1
According to the solving the space between Arthur and Jamie are 39.1 meters.
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4/x-2 + 3/x-3 = 5
X=
X=
Note: the answers have to be either integers or decimals
Answer:
x = 4 , x = 2.4
Step-by-step explanation:
[tex]\frac{4}{x-2}[/tex] + [tex]\frac{3}{x-3}[/tex] = 5
multiply through by (x - 2)(x - 3)
4(x - 3) + 3(x - 2) = 5(x - 2)(x - 3)
4x - 12 + 3x - 6 = 5(x² - 5x + 6)
7x - 18 = 5x² - 25x + 30 ( subtract 7x - 18 from both sides )
0 = 5x² - 32x + 48
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 48 = 240 and sum = - 32
the factors are - 20 and - 12
use these factors to split the x- term
0 = 5x² - 20x - 12x + 48 ( factor the first/second and third/fourth terms )
0 = 5x(x - 4) - 12(x - 4) ← factor out (x - 4) from each term
0 = (x - 4)(5x - 12)
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x - 12 = 0 ⇒ 5x = 12 ⇒ x = 2.4