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
Pls help me on this question??
Answer and Step-by-step explanation:
The answer is A. 0.
This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)
No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.
#teamtrees #PAW (Plant And Water)
Ramadan Mubarak
Cos Y=?
5/13
5/12
12/13
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
find the angle measure given extended triangles
help pls
Answer:
x=74
Step-by-step explanation:
Solve big triangle first 33+45= 78
78+28= 106
How many solutions does y=3x+1 and y=x+1 have?
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S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
A fudge recipe calls for 1/2 cup of cocoa if only 1/2 of the recipe is made how much cocoa should be used
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 cup
Step-by-step explanation:
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
(2, 4) after a reflection over the x-axis?
Vertices A (-1,1) and Vertices B (-4,1) of Square ABCD are shown below. What is the perimeter?
Hint: find the Vertices C and D first, then find the perimeter. A square is the same length all around!
Answer:
12
Step-by-step explanation:
Distance from (-4,1)to (-1,1) =|-4|-|-1|=3
Side of square =3
Since each side of square is equal.
3x4=12
If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then perimeter of the square ABCD is 12 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.
The coordinates of C are (-4, -2) since it is directly below B.
The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.
The coordinates of D are (-1, -2) since it is directly to the right of C.
Now we have the coordinates of all four vertices
A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).
To find the perimeter, we add up the lengths of all four sides:
AB = BC = CD = AD
= √[(xB - xA)² + (yB - yA)²]
= √[(-4 - (-1))² + (1 - 1)²]
= 3
So the perimeter is P = AB + BC + CD + AD
= 3 + 3 + 5 + 3
= 14
Therefore, the perimeter of the square ABCD is 12 units.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ3
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
How much is 1/3 cup of butter equivalent measurement?
Answer: equal 5 tablespoons plus 1 teaspoon butter.
Step-by-step explanation:
Answer:
1/3 cup would equal 5 tablespoons plus 1 teaspoon butter
Step-by-step explanation:
i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!
The length of a rectangle is 3 times the width, w. Which expressions represent the perimeter of the rectangle?
A - 4w
B - 7w
C - 8w
D - 5w + 2w
E - 2(3w + w)
F - 2(3w) + 2w
Answer:
c,e,f,
Step-by-step explanation:
The answer for this question is C, E and F .
Given that the length is 3 times the width. So firstly, you have to find the expression of length :
Let width = w,
Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :
Let length = 3w
Let width = w,
have a good day /night
may i please have a branllist
NEED HELP FOR HOMEWORK: Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.
Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?
A. (x, y) à (x - 2, y + 1)
B. (x, y) à (1.4x , 1.4y)
C. (x, y) à (x + 1, y + 2)
D. (x, y) à (5/7x, 5/7y)
Answer:
B
Step-by-step explanation:
Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?
a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42
Answer:
Scale distance on map representation = 2.4 cm
Step-by-step explanation:
Given:
Scale factor [6 cm - 15 Km]
Actual distance = 6 km
Find:
Scale distance on map representation
Computation:
Scale distance on map representation = Actual distance[6cm / 15km]
Scale distance on map representation = 6km [6cm / 15km]
Scale distance on map representation = 36 / 15
Scale distance on map representation = 2.4 cm
Using any method, find the area of the regular hexagon shown below. Show all work! Your final answer should be exact.
Answer:
864√3
Step-by-step explanation:
(3√3·24²)/2
1728√3/2
864√3
1496.49189773
9514 1404 393
Answer:
864√3 in²
Step-by-step explanation:
We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.
A = (3/2)√3(24 in)² = 3/2×576×√3 in²
A = 864√3 in²
Help please include explanation screenshot attached and brainliest to correct answer
Answer:
x>-8 (Or option D)
Step-by-step explanation:
-2x+7<23 Subtract 7 from both sides
-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number
x>-8
The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)
1. Select all the letters below that have a line of symmetry?
A. M
B. V
C. L
D. G
E. D
Answer:
A,M,V
Step-by-step explanation:
125 a la octava potencia?
please lo necesito
75069 / 45 with work (no calculator)
Show work please!
Answer:
1668.2
Step-by-step explanation:
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
17. Which economic instability becomes a problem during a recession?
A. Producer Price Index
B. Inflation
C. Unemployment
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5