Answer:
Part A: so the GCF is 3y,
We need to rewrite the equation such as:
-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3
It will look like this:
3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y
We then need to factor out 3y:
3y(x^3 + 4x - 3x^2 - 12)
Part b: factor out completely
3y(x^3 + 4x - 3x^2 - 12)
So, we need to do the following:
3y{x^2(x-3) + 4 (x-3)}
we then get the final factor: 3y(x - 3) (x^2 + 4)
Step-by-step explanation:
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
------------------------
To factor the expression:
First, we need to find the greatest common factor of the numeric and symbolic coefficients.Then, we divide each term of the expression by it's gcf.------------------------
The expression is:
[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]
------------------------
The numeric coefficients are: 3, 12, 9, 36
The gcf of the numeric coefficients is:
3 - 12 - 9 - 36|3
1 - 4 - 3 - 12
The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.
------------------------
The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]
The only common term is y, so y is the gcf of the symbolic coefficients.
------------------------
The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.
Now, to factore the expression:
[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
A similar problem is given at https://brainly.com/question/20691631
A department store buys 400 shirts at a cost of $7 200 and sells them at a selling
price of $20 each. Find the percent markup
The percent markup is % round to the nearest whole number as needed) .
Answer:
down below.
Step-by-step explanation:
20 × 400 = 8000
8000 - 7200 = 800
therefore the % mark up is 10%, because 10% of 8000 is 800.
800 + 7200 = 8000
Answer:
the answer is 11%
Step-by-step explanation:
hit me with praise and love this answer HAHA your welcome
HELP PLEASE BRAINLIEST AND ITS EASY\
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer: 2
Step-by-step explanation:
2+2+1+3=8/4=2
ppppppppppppppppppppppppppppllllllllllllllllllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzz hheellpp
Answer:
12 because imagine 40 / 3 ok? now what makes 160 40 x 4 so you do that for the button 4 x 3 please put heart
If f(x) = 4x-3/7, which of the following is the intervenes of f(x)?
Answer:
A
Step-by-step explanation:
[tex] \frac{4x - 3}{7} [/tex]
Replace y with x.
[tex]x = \frac{4y - 3}{7} [/tex]
Solve for y.
[tex]7x = 4y - 3[/tex]
[tex]{7x + 3}{} =4 y[/tex]
[tex] \frac{7x + 3}{4} = y[/tex]
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.
Which of these inequalities describes the situation, where n is the number of songs Lin wants to buy.
9.99+1.29n greater and equal to 50
9.99+1.29 less than and equal to 50
9.99-1.29n less than or equal to 50
9.99-1.29n greater than or equal to 50
Answer:
b) 9.99 + 1.29n ≤ 50
Step-by-step explanation:
I think, this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this
a)9.99 + 1.29n ≥ 50
b)9.99 + 1.29n ≤ 50
c)9.99 − 1.29n ≤ 50
d)9.99 − 1.29 n ≥ 50
well, we have to figure out the information given
price of the album: $9.99
each song cost : $1.29
gift card: $50
number of songs : n
The answer is b) 9.99 + 1.29n ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....
Which statement is correct?
A. Secant is the reciprocal of tangent.
B. Cosine is the reciprocal of cosecant.
C. Cotangent is the reciprocal of secant.
D. Cosecant is the reciprocal of sine.
Which expression is NOT equivalent to 8x ?
Answer:
B
Step-by-step explanation:
7x + 1 isn't equal to 8x
For example:
Addition. In this equation, you can add all of the coefficients (2, 5, and 4) because the variables are the same (a).
2a + 5a + 4a = 11a
Subtraction. In this equation, you can subtract all of the coefficients (11, 5, and 4) because the variables are the same (a).
11a – 5a – 4a = 2a
If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in the simplest radical form. need answer, please
9514 1404 393
Answer:
sin(θ) = -12/13
Step-by-step explanation:
The distance from the origin to the given point is ...
r = √(5² +(-12)²) = √169 = 13
For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...
sin(θ) = y/r
sin(θ) = -12/13
x2 - 3|x - 2| - 4x = - 6
Solve for x
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation:
Which choice is equivalent to the fraction below?
6/13
A. 6-13
B. 6 divided 13
C. 6•13
D. 13 divided 6
Answer:
3
Step-by-step explanation:
it's D 13 divided by 6
If my teacher has 45 hair pieces and she cuts 38 how many does she have left
Answer:
45 you have and 38 is cutted down
then 45-38 = 7 hair piece
Help and explain
I have been here for a month and going back to the video and not understand
Answer:
The surface area of the composite figure is 1108 square inches.
Step-by-step explanation:
The surface area of the composite figure ([tex]A_{T}[/tex]) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:
[tex]A_{T} = 20\,in \times 12\,in + 2\times 5\,in \times 12\,in + 2\times 20\,in \times 5\,in + 2\times 20\,in \times 11\,in + 2\times \frac{1}{2}\times 12\,in \times 9\,in[/tex]
[tex]A_{T} = 1108\,in^{2}[/tex]
The surface area of the composite figure is 1108 square inches.
Determine if the three side lengths given can create a triangle or not. Prove it by working out the inequality.
25cm, 13cm, 14cm
a. yes a triangle can be constructed
b. no a triangle can not be constructed
Hello, I Am BrotherEye
Answer:
A. Yes a triangle can be constucted
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
~
BrotherEye
help me pls i will give brainly
At a concession stand, five hot dog(s) and four hamburger(s) cost $16.75; four hot dog(s) and five hamburger(s) cost $17.00. Find the cost of one hot dog and the cost of one hamburger.
Step-by-step explanation:
Let x and y denote the cost of one hot dog and the cost of one hamburger.
ATQ,
Five hot dog(s) and four hamburger(s) cost $16.75 and four hot dog(s) and five hamburger(s) cost $17.00
So,
5x+4y = 16.75 ....(1)
4x + 5y = 17 ....(2)
Multiply equation (1) by 4 and equation (2) by 5.
20x+16y = 67 ....(3)
20x+25y= 85 ....(4)
Subtract equation (3) and (4).
20x+16y-(20x+25y) = 67-85
16y-25y = -18
-9y = -18
y = 2
Put the value of y in equation (2).
4x + 10 = 17
4x = 7
x = 1.75
So, the cost of one hot dog is $1.75 and that of cost of one hamburger is $2.
Find the HCF of 30x²y²z³
Answer:
The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..
Step-by-step explanation:
A group of nutritionists is hoping to show that a new soybean compound has more protein per gram than roast beef, which has a mean protein content of 20 grams. A random sample of 5 batches of a large supply of soy compound have been tested, producing protein contents of 15, 22, 17, 18, and 23 grams. Which of the following conditions have been met?
I. The data is a random sample from the population of interest.
II. The sample size is less than 10% of the population size.
III. The sample size is large.
a. I only.
b. I and II.
c. I, II and III.
d. II only.
e. III only.
Answer:
The data is a random sample from the population of interest and The sample size is less than 10% of the population size. ( b )
Step-by-step explanation:
roasted beef protein = 20 grams ( mean value )
sample size of soybean compound = 5
mean value of their protein = ( 15 + 22 + 17 + 18 + 23) / 5 = 19
The conditions that have been met are :
The data is a random sample from the population of interest. and
we can say the sample size is less than 10% of population size because we do know the population size is a large supply
Pls help me solve this
3. ADD:
35 degrees 25 minutes 14 seconds
50 degrees 38 minutes 55 seconds
pls help me frens......
Answer:
V= 8
x=4.5
BCF =48 CFE=132
V=352.8 =8.4x8.4x5
For the volume one i cant read the number but if the bottom number is 8 then V=803.84
if its 6 then v = 452.16
Step-by-step explanation:
v= 2x2x2 v = 8
x is 11x-9=7x+9 | 4x=18 | x=4.5
15x=180 x=12 | CFE = 11x12=132 | BCF = 4x12=48
need help :( plsssssssssss
Answer:
The polygon is a triangle, and is not a regular polygon.
Step-by-step explanation:
The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.
2 1/3 x 4 4/5as a fraction
Answer:
11 1/5
Step-by-step explanation:
2 1/3 × 4 4/5
=7/3 × 24/5
=56/5
=11 1/5
Find the slope of the line connecting these points. (8,3) and
(21,3)
Answer:
m=0
Step-by-step explanation:
3-3/21-8
0/21-8
0/13
0
Answer:
(8, 3) (21, 3)
slope = change in y divided by change in x
slope = (3 - 3) / (21 -8)
slope = 0 / 13
slope = 0
Step-by-step explanation:
There are two computers you want to buy but each one has a different special deal. The first deal is $50 cashback with $5 more for each referral you give. The second deal is for $130 cashback with no referral bonus. How many referrals do you need to give before the first deal is better?
Which of the following fractions is nearest to 1/2
1) 3/5 2)12/25 3)27/50
You must show all your working.
Answer:
12/25
Step-by-step explanation:
1/2 = 25/50
1) 3/5 = 30/50
2) 12/25 = 24/50 (closest to 25/50)
3) 27/50
quais as raízes de:
(x^2)-(2^x)-1=0
Answer:
Step-by-step explanation:
6. The octopus was swimming 3 feet below the surface. If the octopus swam up 3
feet? Represent the octopus location using an integer.*
Answer:
Octopus Location: 0
Step-by-step explanation:
If the octopus was swimming 3 ft below the surface, it's considered -3.
The octopus then swam up 3 feet, so we add 3 to the -3 from the previous statement.
-3 + 3 = 0
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4)-1.
Answer:
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x)… ... parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1. 2 ... Re-write the transformed function by taking -2 common,. Step 1 -. Shift 2 unit left i.e, f(x)→f(x+b) shifting left by b unit.
Step-by-step explanation:
Which pattern shows a quadratic relationship?
Simplify and write answer in standard form.
Answer:
[tex]x^3+8x^2+2x+1[/tex]
Step-by-step explanation:
Combine like terms (terms with the same exponent).
[tex]x^3+(3x^2+5x^2)+(x+x)+1=x^3+8x^2+2x+1[/tex]
"Standard form" means to list terms so the exponents go from high to low (descending order).
