Answers
Answer:
[tex](a) x^2-2x=x \times (x+2) \\\\(b) 6x^2+12x=2\times 3 \times x \times ( x + 2) \\\\(c) 3x^3 - 9x=3\times x \times (x^2 -3) \\\\(d) 4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)[/tex]
Step-by-step explanation:
To factorize, at first, do factorize all the terms then take the common terms out.
(a) [tex]x^2-2x[/tex]
This can be written as
[tex]x^2-2x= x\times x + 2 \times x[/tex]
Now, taking x commom from both the terms.
[tex]x^2-2x=x \times (x+2)[/tex]
(b) [tex]6x^2+12x[/tex]
[tex]=2\times 3 \times x\times x + 2\times 2 \times 3 \times x[/tex]
Now, taking [tex]2\times 3\times x[/tex] common from both the terms, we have
[tex]6x^2+12x=2\times 3 \times x \times ( x + 2)[/tex]
This is the required factorization.
(c) [tex]3x^3 - 9x \\\\[/tex]
[tex]= 3 \times x \times x \times - 9\times x \\\\ 3x^3 - 9x=3\times x \times (x^2 -3)[/tex]
This is the required factorization.
(d) [tex]4x^2 +28 x^3[/tex]
[tex]= 2 \times 2 \times x \times x + 2 \times 2 \times 7 \times x \times x \times x \\\\4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)[/tex]
This is the required factorization.
Related Questions
1. 2x + 2y = 10
y = 5 + x
Solve the system of linear equations by substitution. Check your solution
Answers
if f(x)=1/9x-2, what is f^-1(x)
Answers
Answer:
the inverse is 9x + 18
Step-by-step explanation:
switch 'x' with 'y'
y = 1/9x - 2
x = 1/9y - 2
solve for y now, start with multiplying each side by 9
9x = y - 18
y = 9x + 18
f^-1(x) = 9x + 18
Tamika works in a shoe store and is paid a 12% commission on her sales. In January her sales total was $3740. To her nearest dollar how much did Tamika earn in commission for January?
A- $312
B- $449
C- $3291
D- $4189
Answers
Answer:D
Step-by-step explanation:
The total earn in commission by Tamika for January is $449.
What is percentage?A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The sign "%" is used to denote it. Indicative percentages include: A fraction of ten percent is one tenth.
To find the percentage of a number between two numbers, number with the other and then multiply the result by 100.
Calculate the commission earned:
Tamika is paid a 12% commission on her sales.
In January her sales total was $3740.
12% of 3740 is,
=> (12×3740)/100 = 448.8
= 449
Therefore, the commission earned by Tamika for January is $449.
To know more about commission, here
https://brainly.com/question/957886
#SPJ2
can anyone help me on the bottom question?
Answers
15 because you added it Step-by-step explana
Which is the graph of y = kx] -2?
Answers
Please show the rest of the question if there is any
when y=75 x=2.5, so what does y= when x=2.75?
Answers
sorry about that i put the wrong anserw
Answer:
should be 82.5
Step-by-step explanation:
(75/2.5)*2.75
Please please help I am so confused help please I will give a brainliest
Answers
Answer:
x y = x-5 y (x, y)
6 y = 6-5 1 (6, 1)
0 y = 0-5 -5 (0, -5)
5 y = 5-5 0 (5, 0)
-2 y = -2-5 -7 (-2, -7)
The graph of the line y = x-5 is attached below.
Step-by-step explanation:
Given the function
y = x-5
substitute x = 6 in the function
y = 6-5 = 1
so
y = 1
(x, y) = (6, 1)
substitute x = 0 in the function
y = x-5
y = 0-5 = -5
so
y = -5
(x, y) = (0, -5)
substitute x = 5 in the function
y = x-5
y = 5-5 = 0
so
y = 0
(x, y) = (5, 0)
substitute x = -2 in the function
y = x-5
y = -2-5 = -7
so
y = -7
(x, y) = (-2, -7)
Hence, the table becomes
x y = x-5 y (x, y)
6 y = 6-5 1 (6, 1)
0 y = 0-5 -5 (0, -5)
5 y = 5-5 0 (5, 0)
-2 y = -2-5 -7 (-2, -7)
The graph of the line y = x-5 is attached below.
Tom rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 4.
Answers
Answer:
1/6
Step-by-step explanation:
What is the solution to the equation?
98 + g = 150
98 + g = 150. 98 + 98 + g = 150 minus 98. t = 52.
98 + g = 150. 98 minus 98 + g = 150 minus 98. t = 52.
98 + g = 150. 98 + 98 + g = 150 + 98. t = 52.
98 + g = 150. 98 minus 98 + g = 150 + 98. t = 148.
(just say A, B, C, or D )
Answers
Answer:
i think the aswer is A 98+ g =150. 98 +98 +g = 150- 98. t =52
Answer:
B
Step-by-step explanation:
please mark me branliest!
Factorize
1: x2-4x+4
2: x2-5x-6
3: x2-9x-10
4: x2-81
5: x2-361
Answers
Answer:
x2-81=0
Step-by-step explanation:
where,
a2-b2=(a+b)
a2-b2= (a+b) (a-b)
so,
a=x
b=0
so the answer is 0
I hope it helps you
The length of a rectangle is 2m longer than its width.
If the perimeter of the rectangle is 24m , find its area.
Answers
Answer:
35m
Step-by-step explanation:
length = 2+w
width = w
Perimeter = 2(length)+2(width)
24 = 2(2+w)+2(w) = 4+2w+2w = 4+4w
24=4+4w
4w=20
w=5
width =5
length = 2+5 = 7
Area = (length)(width) = 5(7) = 35m
Is (3,5) a solution to this system?
y=3x-4
2x+4y=8
Answers
Answer:
no it is not
Step-by-step explanation:
y= 3(3) - 4
y=2
2 isn't the same as 5
Answer:
that is not ans
Step-by-step explanation:
I think (0 1) is the solution
plz make me btainliest
Please just please help.....I’m desperate......
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the closest square numbers to 43 are 36=6^2 and 49=7^2 so sqrt43 is between 6 and 7
Find the area of the parallelogram.
Answers
Answer: i think its just 168
Step-by-step explanation:
Suppose a city with population has been growing at a rate of % per year. If this rate continues, find the population of this city in years.
The population in years will be approximately
nothing. (Round to the nearest whole number as needed.)
Answers
Answer:
2
Step-by-step explanation:
Answer:
what is the population, growing rate per year, and years approximately
Step-by-step explanation:
find the slope of the line that passes through (9,6) and (5,15)
Answers
Step-by-step explanation:
let x1=9 y1=6
x2=5 y2=15
now we khow that
slope (m) =y2-y1/x2-x1
= 15-6/5-9
=9/-4 ans
Find the inverse of f(t) = 1/t - 1 it exists . Complete the equation in the space below (do not enter f^ -1 (t)=? . If there is no inverse , enter "none". The inverse function is f * (t) ^ - 1 = help pls
Answers
Answer:
Step-by-step explanation:
hello :
f(t) = 1/t - 1
calculate : t
f(t)+1 = 1/t so : t = 1/(f(t)+1)
f^ -1 (t)= 1/(t+1)
Divide: 5/8 ÷ 3/4
1/8
5/6
3/4
1 1/2
Answers
Answer:
you got this
Step-by-step explanation:
good
Answer: 0.09756
Step-by-step explanation: i used a caculator
solve for x with 9x+1 and 88? i don’t know how to and i really need it. attachment has the picture.
Answers
Answer:
x = 5
Step-by-step explanation:
We know that adding up all the degrees in a triangle will give you 180. So, subtracting the given angle from 180 will give us the sum of the missing angles: 180 - 88 = 92.
Since the diagram shows us that the triangle is isoscles, we know that the missing two angles are the same and equivalent. So, in order to get the value of one angle, we divide the sum of angles by 2: 92/2 = 46.
Now that we've found the value of one angle, we set it equal to the equation given to find the value of x: 9x + 1 = 46.
Last but not least, solve for x: 9x = 45 --> x = 5
Calculate 6% of 134 it should be a decimal
Answers
Answer:
8.04
Step-by-step explanation:
What is the answer to 4e2? e=3
Answers
Step-by-step explanation:
4e² at e = 3
=4(3)²
=4 (9)
=36
Compute $\sqrt{64} + \sqrt{225} - \sqrt{64 + 225}$.
Answers
Answer:
6
Step-by-step explanation:
Simplify the following:
sqrt(64) + sqrt(225) - sqrt(64 + 225)
Hint: | Evaluate 64 + 225.
64 + 225 = 289:
sqrt(64) + sqrt(225) - sqrt(289)
Hint: | Simplify radicals.
sqrt(289) = sqrt(17^2) = 17:
sqrt(64) + sqrt(225) - 17
Hint: | Simplify radicals.
sqrt(64) = sqrt(2^6) = 2^3:
2^3 + sqrt(225) - 17
Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.
2^3 = 2×2^2:
2×2^2 + sqrt(225) - 17
Hint: | Evaluate 2^2.
2^2 = 4:
2×4 + sqrt(225) - 17
Hint: | Multiply 2 and 4 together.
2×4 = 8:
8 + sqrt(225) - 17
Hint: | Simplify radicals.
sqrt(225) = sqrt(15^2) = 15:
8 + 15 - 17
Hint: | Evaluate 8 + 15 - 17.
8 + 15 - 17 = 6:
Answer: 6
Answer:
6
Step-by-step explanation:
Janelle had $65, then she returned her sweater that cost x dollars. Write an algebraic expression that represents the amount of money she has now.
Answers
Answer:
Step-by-step explanation:
G herbo trap house
Jayden and Carson are selling T-Shirts and sweatshirts with the school logo. Jayden sells 9 T-Shirts and 3 sweatshirts for 288$. Carson sells 1 T-Shirt and 6 sweatshirts for 270$. Find the selling prices of each item
Answers
Answer: cost of T-shirts = $18
cost of sweatshirt = $42
Step-by-step explanation:
Let the cost of T-shirts be x
Let the cost of sweatshirt be y
The information given in the question can be used to form an equation that'll be:
9x + 3y = 288 ...... i
1x + 6y = 270 ........ ii
Multiply equation i by 1
Multiply equation ii by 9
9x + 3y = 288 ....... iii
9x + 54y = 2430 ..... iv
Subtract iii from iv
51y = 2142
y = 2142 / 51
y = 42
The cost of a sweatshirt is $42
Since Carson sells 1 T-Shirt and 6 sweatshirts for 270$. The cost of a t-shirt will be:
= 270 - 6(42)
= 270 - 252
= $18
Write an equation in point-slope form of the line that passes though the given points. Then, write the equation in slope intercept form.
(-1,-2) and (2,4)
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
(-1, -2)(2, 4)Finding the slope between (-1, -2) and (2, 4)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:4\right)[/tex]
[tex]m=\frac{4-\left(-2\right)}{2-\left(-1\right)}[/tex]
[tex]m=2[/tex]
Using the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (-1, -2)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y -(-2) = 2(x-(-1)[/tex]
Thus, the point-slope form of the line equation is
[tex]y -(-2) = 2(x-(-1)[/tex]
now, write the slope-intercept form of the line equation y = mx+b
[tex]y-\left(-2\right)=2\left(x-\left(-1\right)\right)[/tex]
[tex]y+2=2\left(x+1\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=2\left(x+1\right)-2[/tex]
Simplify
[tex]y=2x+0[/tex]
[tex]y = 2x[/tex]
Therefore, the equation in slope-intercept form is:
[tex]y = 2x[/tex]An electrician charges $40 for each hour plus a $25 surcharge. The electrician raises the charges for each hour by $5. Write an equation that represents the new cost c of a job that take h hours
Answers
Answer:
c = 45h + 25
Step-by-step explanation:
The only difference between what the electrician used to charge and what he/she charges now is an increase of $5. Therefore, instead of charging $40 he is now charging $45. Using this new information we can create the following equation to calculate the total cost of a job. We do this by multiplying the cost per hour ($45) by the total number of hours (h) and then adding the surcharge.
c = 45h + 25
Urgent please help..
Answers
so, Sin(62) = x/12
x= Sin(62) • 12
x= 10.59
Simplifying rational exponents
1) a^-8/5
2) (9b^4)^2/3
3) (8x^5)5/7
PLEASE I NEED HELP!!!!!!
Answers
Answer:
1/a^8/5 for the first, 9b^8/3 for the second, and 8x^25/7 for the third
Step-by-step explanation:
1) With neg exponents, you can just take it and flip it, and make the exp pos i.e. 1/a^8/5
2) When there is an exponent outside of parenthesis of a number with an exponent, you multiply the exponents together i.e. 9b^8/3
3) The same applies to this as the 2nd, we just multiply to get 8x^25/7
GIVING BRAINLIEST!!!!!Jamie used an isosceles trapezoid and a rectangle to form the figure shown. What is the area of the figure shown in square inches?
Answers
Answer:
3.5in^2
Step-by-step explanation:
Quadratic formula using Lin's theory.
Answer:
use the quadratic formula
Step-by-step explanation:
Which expression is the factored form of−4.5n+3?
−3(1.5n−1)
−3(1.5n+1)
−1.5(−3n+2)
−1.5(3n+2)
