[tex](2x - \frac{1}{3} ) - ( \frac{2}{x} + 1)[/tex]
[tex]2x - \frac{1}{3} - \frac{2}{x} + 1[/tex]
[tex](2x - \frac{2}{x} ) + ( - \frac{1}{3} + 1)[/tex]
[tex] (\frac{2 {x}^{2} }{x} - \frac{2}{x} ) + ( \frac{ - 1}{3} + \frac{3}{3} )[/tex]
[tex] \frac{2 {x}^{2} - 2 }{x} + \frac{ - 2}{3} [/tex]
We want to write the given expression as a single fraction. We will get the fraction:
[tex]\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
Rewriting the expression.
So we start with the expression:
[tex](2*x - \frac{1}{3}) - (\frac{2}{x} + 1)[/tex]
First, let's rewrite each of these parenthesis as fractions, we need to have the same denominator in all the terms, then in the first one we can multiply and divide by 3 (and in the second one we can do the same but with x) so we get:
[tex](\frac{3}{3} *2*x - \frac{1}{3}) - (\frac{2}{x} + 1*\frac{x}{x} )\\\\(\frac{6*x}{3} - \frac{1}{3}) - (\frac{2}{x} + \frac{x}{x} )\\\\\frac{6*x - 1}{3} - \frac{2 + x}{x}[/tex]
Now we must multiply and divide the left term by x, and the right term by 3, so we get:
[tex]\frac{x}{x} \frac{6*x - 1}{3} - \frac{2 + x}{x}*\frac{3}{3} \\\\\frac{6*x^2 - x}{3*x} - \frac{6 + 3x}{3*x} = \frac{6*x^2 - x - 3x - 6}{3*x}\\\\\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
This is the fraction in its simplest form.
If you want to learn more about fractions you can read:
https://brainly.com/question/11562149
1) Which pair of triangles is congruent by Side - Side - Side? *
Please do all of them and don't answer if you don't know thanks in advance :)
best answer will get brainliest and multiple thanks on some of your other answers and this one
Answer:
The fourth pair of triangles.
Step-by-step explanation:
Looking at the diagram for the fourth pair of triangles, we see that two pairs of sides have been marked as having the same length, and the remaining side is shared by the two triangles, hence guaranteeing that side's congruence. Therefore, the fourth pair of triangles is congruent by SSS.
The first pair of triangles are congruent by ASA, due to the middle pair of angles being congruent (vert. opp. ∠s), hence providing the condition for SAS.
The second pair of triangles should be SAS, also known as Side - Angle - Side, due to two angles and one side being marked as congruent, and those two angles surrounding the side marked as congruent.
The third pair of triangles should be SAS, due to them sharing a common side and a pair of sides marked congruent, surrounding the right angle. The reason why it is not RHS is because the pair of hypotenuses are not congruent, hence not fulfilling the condition of Right Angle - Hypotenuse (here!) - Side.
Hope this helped!
Answer:
Pair in diagram 4Step-by-step explanation:
Diagram 1One angle marked as congruent, one angle is congruent as vertical angles, one side is marked as congruent:
ASADiagram 2Two angles and an included side are marked as congruent:
ASADiagram 3Right angle and one leg marked as congruent, another leg is shared, right angle is included:
SASDiagram 4Two sides are marked as congruent and one side is shared, so is congruent as well:
SSSHelp it’s due soon!
Answer:
25%
Step-by-step explanation:
Yessir another one for the bois
Answer:
I forgot what complementary means but it's either 3 or 5, probably 3
Step-by-step explanation:
Find the range of the graphed function.
A. Y is all real numbers
B. Y>_0
C. 0<_y<_10
D. -9<_y<_5
Btw, <_ or >_ is the greater than or equal to or less than or equal to sign.
Answer:
The range of the function should be:
-9 ≤ y ≤ 5
Hence, option D is true.
Step-by-step explanation:
We know that the set of values of the dependent variable for which a function is defined.
From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.
i.e.
at y = 5, the graph gets its maximum value
at y = -9, the graph gets its minimum value
Thus, the range of the function should be:
-9 ≤ y ≤ 5
Hence, option D is true.
Helppppp it’s an emergency!!!!!
Answer:
Equation: [tex]2(x+8)+2(3x-5)+23 = 126[/tex]
[tex]x = 12.125[/tex]m
[tex]AB = 20.125[/tex]m
[tex]EF=31.375[/tex]m
Step-by-step explanation:
The equation of the perimeter of this shape can be written as:[tex]2(x+8)+2(3x-5)+23 = 126[/tex] (Sides with the same number of dashes are equal in length)
Which becomes:
[tex]2x+16+6x-10+23=126[/tex]
[tex]8x+29=126[/tex]
[tex]8x=97[/tex]
[tex]x= 12.125[/tex]
Since AB = [tex]x+8[/tex], we can substitute to get the length of AB:
[tex]x+8 = 12.125+8[/tex]
[tex]=20.125[/tex]
We can also use substitution to solve for the length of EF:
[tex]3x-5=3(12.125)-5[/tex]
[tex]=31.375[/tex]
Hope this helps :)
(4w^2 -m) - (-15w^2)
(i’ll give brainliest)
Answer:
19w^2-m
Step-by-step explanation:
4w^2-m+15w^2
19w^2-m
The second bracket becomes 15w^2 because it's a negative number multiplied by -1
(4w^2-m)+15w^2
19w^2-m
I am in need of help
Answer:
q = 4.9
m∠R = 27.1°
m∠S = 136.9°
Step-by-step explanation:
To solve the triangle we will use the cosine rule and the sine rule
In the given triangle
∵ q is the opposite side of ∠Q
∵ s is the opposite side of ∠S
∵ r is the opposite side of ∠R
∵ m∠Q = 16°
∵ r = 8 and s = 12
→ By using the cosine rule to find q
∴ q² = r² + s² - 2 r s cos∠Q
→ Substitute the values of r, s, and ∠Q in the rule above
∵ q² = (8)² + (12)² - 2(8)(12)cos(16°)
∴ q² = 23.43775438
→ Take √ for both sides
∴ q = 4.841255455
→ Round it to the nearest tenth
∴ q = 4.9
→ To find angles R and S we will use the sine rule
∵ [tex]\frac{r}{sin(R)}[/tex] =[tex]\frac{q}{sin(Q)}[/tex] = [tex]\frac{s}{sin(S)}[/tex]
→ Use the first two ratios to find m∠R
∵ [tex]\frac{8}{sin(R)}[/tex] = [tex]\frac{4.841255455}{sin(16)}[/tex]
→ By using cross multiplication
∴ 4.841255455 × sin(R) = 8 × sin(16)
→ Divide both sides by 4.841255455
∴ sin(R) = 0.4554807874
→ Use [tex]sin^{-1}[/tex] to find m∠R
∵ m∠R = [tex]sin^{-1}[/tex] (0.4554807874)
∴ m∠R = 27.0958732
→ Round it to the nearest tenth
∴ m∠R = 27.1°
∵ The sum of the measures of the angle in a triangle is 180°
∴ m∠S + m∠Q + m∠R = 180°
→ Substitute the values of m∠Q and m∠R
∵ m∠S + 16° + 27.1° = 180°
∴ m∠S + 43.1 = 180
→ Subtract 43.1 from both sides
∴ m∠S = 136.9°
Solve each division problem and classify it based on its quotient
Answer:
1. 6
2. 9
3. 9
4. 6
5. 9
6. 6
Step-by-step explanation:
The answers are in the order listed on your assignment page.
Hope this helps :)
i need help pleaseeeee!!!!
Answer:
280 mins
Step-by-step explanation:
a council reviews the amount of bedrooms in 40 houses located in the same area. this table shows the information gathered
a) find the modal average of bedrooms
b) work out the mean average of bedrooms
number of bedrooms: frequency:
1 ---------------------------------5
2------------------------------- 10
3 -------------------------------15
4 --------------------------------7
5 --------------------------------3
Answer:
A. 3
B. 2.825
Step-by-step explanation:
Data obtained from the question include:
Number of bedrooms (x) > Frequency(f)
1 >>>>>>>>>>>>>>>>>>>>> 5
2 >>>>>>>>>>>>>>>>>>>> 10
3 >>>>>>>>>>>>>>>>>>>> 15
4 >>>>>>>>>>>>>>>>>>>> 7
5 >>>>>>>>>>>>>>>>>>>> 3
Mode =?
Mean average of bedrooms =.?
A. Determination of the modal average of bedroom.
The mode of a given set of data is the the value with the highest frequency.
Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3
B. Determination of the mean average of bedroom.
Mean = Σfx / Σf
Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)
Σfx = 5 + 20 + 45 + 28 + 15
Σfx = 113
Σf = 5 + 10 + 15 + 7 + 3
Σf = 40
Mean = Σfx / Σf
Mean = 113 / 40
Mean = 2.825
Therefore, the mean average of bedroom is 2.825
Please help thank you
When converting a fraction to a decimal, the numerator is the
___________________________________________________________
Answer:
When converting a fraction to a decimal, the numerator is the dividend.
___________________________________________________________
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.
The system of equations models the total costs for each.
x + y = 26
x – y = 12
Answer:
19 fiction books
7 nonfiction books
Step-by-step explanation:
your welcome if it helped
Step-by-step explanation:
please graph the line y= -2/3x + 2
help please i need to get this done
Answer:
x = 4
y = -7 or (-7, 4)
Step-by-step explanation:
y = -2x + 1
4x + y = 9 replace y in the second equation with (-2x + 1) since y is equal to it
4x + (-2x + 1) = 9 add like terms
2x + 1 = 9 subtract 1 from both sides
2x = 8 divide both sides by 2
x = 4 since y = -2x + 1 replace x with the value we found
y = (-2) × 4 + 1 = -7
2. Find the value of x.
Answer:
x = 3
Step-by-step explanation:
You can see that 5x - 7 and 2x + 2 are equal to each other due to the arrows pointing to both angles. Therefore allowing you to set up the following equation..
5x - 7 = 2x = 2
Therefore you can then simplify for the value x where you should get teh value 3.
Solve for c:
3-(2c-8)=7
Please include a step-by-step so I know how you did it
Answer:
c = 2
Step-by-step explanation:
3 - (2c - 8) = 7
3 - 2c + 8 = 7
-2c + 11 = 7
-2c = -4
c = 2
hope this helps, pls mark brainliest :D
the value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 years time
pls answer,I will also mark the brainest and I will rate 5 out of 5 stars pls show working out
Answer:
the value in the five years is £2,621.44
Step-by-step explanation:
The computation of the value in the five years is given below:
= The value of the second car × (1 - losses percentage)^number of years
= £8,000 × (1 - 0.20)^5
= £8,000 × 0.80^5
= £8,000 × 0.32768
= £2,621.44
Hence, the value in the five years is £2,621.44
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Predict the next number in the sequence: 1, 4, 16, 64…
512
244
384
256
Step-by-step explanation:
Notice that:
1 * 4 = 4,
4 * 4 = 16,
16 * 4 = 64.
Each term is 4 times of the previous term.
Hence the next term would be 64 * 4 = 256.
Eddie went to Luke Base Air Force Show and brought $55 with him to spend. If admission cost him $5 and sodas were $6.25 each, what is the GREATEST number of sodas, x, Eddie can buy? USE x AS VARIABLE; NO SPACES.
Answer:
8
Step-by-step explanation:
Given that:
Eddie has gone to Luke Base Air Force Show.
Total money available with Eddie = $55
Admission cost = $5
Cost of each soda = $6.25
To find:
The greatest number of sodas that can be bought by Eddie ?
Solution:
Let the greatest number of sodas that can be bought by Eddie = [tex]x[/tex]
Now, the total money spent by Eddie will be equal to the admission fee and the cost for buying the [tex]x[/tex] number of sodas.
Cost for [tex]x[/tex] number of sodas = Cost of one soda multiplied by [tex]x[/tex] = $6.25 [tex]\times x[/tex]
Writing equation as per given statement:
Total money = $55
[tex]55 = 5 +6.25x\\\Rightarrow 6.25x = 55-5\\\Rightarrow 6.25x = 50\\\Rightarrow x = \dfrac{50}{6.25}\\\Rightarrow \bold{x = 8}[/tex]
Therefore, a maximum of 8 number of sodas can be bought.
I will mark brainliest: ;
Find the measure of an angle that is complementary to
Options:
A. 5 degrees
B. 2 degrees
C. 8 degrees
D. 9 degrees
Answer:
9 degrees
Step-by-step explanation:
1. This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon. morning afternoon total grade 6 15 8 23 grade 8 18 21 38 grade 10 12 26 38 total 45 55 100 a. How many students participated in the survey? b. How many students in grade 8 prefer to have gym in the morning? c. How many grade 10 students participated in the survey? d. How many students prefer to have gym in the afternoon? **When you give your answers, label them as a, b, c, and d.
a)There are 200 students who attended the survey.
b)There are 18 students who prefer the gym in the morning.
c)There are 38 grade 10 students who participated in the survey.
d)There are 110 student students who prefer to have a gym in the afternoon.
What is a data table?A data table is a piece of writing made up of rows, columns, and cells that each contain a particular value. They keep data that people can access later and update as required.
The given data is shown in table,
The data table's title, column headers, and row headers can all aid a user in better comprehending the data in the table. Data tables present information in a format resembling a grid with rows and columns.
To enable users to find patterns and draw conclusions from data, they arrange information in ways that are simple to scan.
Thus, there were 200 students who participated in the poll, 18 of whom preferred the gym in the morning, 38 grade 10 students, and 110 of them preferred to have a gym in the afternoon.
Learn more about the table here,
https://brainly.com/question/10670417
#SPJ2
A bottle contains 3.78 liters of water. Without
calculating, determine whether there are
more or less than 3.78 deciliters of water in
the bottle. Explain your reasoning.
The angles below are supplementary, What is the value of x?
Answer:
x = 12
Step-by-step explanation:
Supplementary angles add up to 180 degrees therefore (6x + 48) and 60 should add up to 180. Like this:
6x + 48 + 60 = 180
Now solve:
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
Therefore, the answer is x = 12.
I hope this helps!!
- Kay :)
Answer: x=12
Step-by-step explanation:
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x=12
Write an equation in slope-intercept form of the line shown.
(2,-1) (4,-4)
Answer:
add 44 and 21 and you will get the answer
Answer:
y = -3/2x+2
Step-by-step explanation:
The slope for a slope equation is y = mx+b
Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.
Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.
-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.
please can someone help my assignment
Answer:
1st box(the top one in the middle row): 5^4-5 = 5^-1
2nd box(the top one in the last row): 5*5*5*5/5*5*5*5*5 = 1/5
3rd box(the bottom one in the middle row): x^-6
4th box(the bottom one in the last row): x/x*x*x*x*x*x*x=1/x^6
which relation is represented by mapping below
Answer:
it is D
Step-by-step explanation:
A square has an area of 49 yd squared. What is the length of each side?
Answer:
7
Step-by-step explanation:
1) g(x) = 2x+4
F(x)=-2x^3 + 2x
Find g(x) + f(x)
Answer:
g(x) + f(x) = -2x³ + 4x + 4
General Formulas and Concepts:
Algebra I
Combining Like TermsFunction NotationStep-by-step explanation:
Step 1: Define
g(x) = 2x + 4
f(x) = -2x³ + 2x
Step 2: Find g(x) + f(x)
Substitute: g(x) + f(x) = 2x + 4 - 2x³ + 2xCombine like terms: g(x) + f(x) = -2x³ + 4x + 4