Answer:
A. 2y
B. (xy − 10)(2x²y + 18y)
Step-by-step explanation:
Part A: Rewrite the expression so that the GCF is factored completely.
2x³y² + 18xy² − 20x²y − 180y
Factoring y out, we have
(2x³y + 18xy − 20x² − 180)y
Factoring 2 out, we have
(x³y + 9xy − 10x² − 90)2y
So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y
Part B: Rewrite the expression completely factored.
2x³y² + 18xy² − 20x²y − 180y
Rearranging, we have
2x³y² − 20x²y + 18xy² − 180y
Separating them into brackets, we have
(2x³y² − 20x²y) + (18xy² − 180y)
Factorizing the expressions in bracket, we have
(xy − 10)2x²y + (xy − 10)18y
collecting like terms, we have
(xy − 10)(2x²y + 18y)
What is the perimeter of a rectangle with a length of 6cm and a width of
5cm?
Answer:
perimeter = 22 cm
Step-by-step explanation:
perimeter = 2(L + W) = 2(6 + 5) = 22 cm
Answer:
22cm
Step-by-step explanation:
P=2(l+b)
so length (l)=6cm
width (b)=5 cm
Which of the following situations are equal to 40%? Select all that apply.
A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80
Can some one help me answer this.
Answer: y= 0.0025
Step-by-step explanation:
Answer:
y= 0.0025
Step-by-step explanation:
every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4
11. The population of 1,000 unicorns is decreasing by 8% every year.
What is the independent and dependent variables of this situation?
A. Independent - Population; Dependent - years
B. Independent - Years; Dependent - population
PLEASE HELP ASAP PRE ALG. 20 POINTS!!!!!
Answer:
0.5/3 or 16.67
Step-by-step explanation:
Slope is y 2 minus y 1 / x 2 minus x 1.
1-0.5/6-3
0.5/3
Please choose the correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
its B E F
Step-by-step explanation:
hope this helps
plz besties can you help me
a) show that k lies between - 8 and 1 in the following inequality
[tex] {k}^{2} + 7k \leqslant 8[/tex]
Answer:
-8≤k≤1
Step-by-step explanation:
k²+7k-8≤0
(k+8)x(k-1)≤0
k1= -8
k2= 1
-8≤k≤1
please and thank you
Answer:
B
Step-by-step explanation:
ABC:
A = 10 degrees
B = 145 degrees
145 + 10 = 165
180 - 165 = 15 degrees
C = 15 degrees
MNP:
M = 145 degrees
N = 15 degrees
P = so therefore, P is 165 degrees
MNP is similar to ABC
The measure of angle R is 129 degrees,
What is the measure of angle S?
Answer:51
Step-by-step explanation:
A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.
Answer: 50 and 900 is correct
Step-by-step explanation:
50 and or 100
What is an equation of the line that passes through the points (-6,-5) and (-3,0)?put your answer in fully reduced form
Step-by-step explanation:
The equation is y = -3x + 6.
Answer:
3y = 5x + 15
Step-by-step explanation:
Slope = Change in y-cordinates
---------------------------------
Change in x-cordinates
= 0 - (-5)/-3 - (-6)
= 5/3
Using point (-3,0)
y - y1 = m(x - x1)
y - 0 = 5/3 (x - (-3))
y = 5/3 (x + 3)
Expand the bracket
y = 5x/3 + 15/3
Multiply through by 3
3y = 5x + 15
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
f(x) = -3(x – 8)(x + 2)
f(x) = -3(X + 8)(x - 2)
f(x) = 3(x-8)(x + 2)
O f(x) = 3(X + 8)(- 2)
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years. What is the total amount she will be paying on the loan
Answer:
5310
Step-by-step explanation:
6% of 4500=270
270x3years=810
4500+810=5310
Lara will be paying the total amount is $5310
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that, Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years.
We need to find the total amount she will be paying on the loan,
So, the formula for simple interest is - SI = PRT / 100
P = principal, r = rate and t = time
Therefore,
SI = 4500 x 6 x 3 / 100
= 45 x 18 = 810
The interest = $810
She will pay = interest + principal = 810 + 4500 = $5310
Hence, Lara will be paying the total amount is $5310
Learn more about simple interest click;
https://brainly.com/question/25845758
#SPJ2
Blank minus 1/10 equals 1/2
en una granja sembraron 20 parcelas de locotes, con 40 plantas en cada una ¿Cuántas plantas de locotes se tienes?
Answer:
800
Step-by-step explanation:
20 x 40 = 800
What is the difference between a wheel and a roller?
Kayla bought seven boxes. A week later, half of all her boxes were destroyed in
a fire. There are now only 22 boxes left. With how many did she start? Show your work.
Answer:
Let's call the number of boxes Maria started with:
There are 37 boxes
Step-by-step explanation:
Let's call the number of boxes Kayla started with:
Then we can write:
22
=
b
+
7
2
Where:
22
is the number of boxes Kayla has left.
(
b
+
7
)
is the number of boxes Kayla started with plus the
7
she bought
The division by
2
represents
1
2
of the total boxes Kayla had being destroyed by fire.
We can solve this by first multiplying each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
22
=
2
×
b
+
7
2
44
=
2
×
b
+
7
2
44
=
b
+
7
Now, subtract
7
from each side of the equation to solve for
b
while keeping the equation balanced:
44
−
7
=
b
+
7
−
7
37
=
b
+
0
37
=
b
b
=
37
Kayla started out with 37 boxes.
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Answer: (x-5)2 would be your final answer
Answer:
its prolly just (x+5)2
Step-by-step explanation:
taking the test rn for it
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct?
Answer:
No, he not correct because he only ran 4 mi
Step-by-step explanation:
If he walks for 6 min out of the 38 min, then he ran for 32 min.
d = rt 1 mi = 8r
r = 1/8 = 1 mi/8 min Since he ran 32 min we have
d = 1/8(32) = 4 mi.
No, he not correct because he only ran 4 mi
Simplify by combining like terms and then FACTOR the expression -3+5y+5+3y
Answer:
7y+2
Step-by-step explanation:
3y+5y=7y
5-3=2
4 workers build a walk in 18 days . How many more workers should be added to build it in 12 days?
Answer:
2
Step-by-step explanation:
figure it in "worker days"
4 builders times 18 days= 72 worker days
72 days/ 12= 6 workers
have 4 workers now, so you need 2 more
Answer:
answer is 2
Step-by-step explanation:
hope it help you
Please can someone help I don’t understand the question if it’s right I’ll give more plsssssesssssssssssddsd
Answer:
x = 33°
Step-by-step explanation:
From the figure attached,
FB and FC are two secants intersecting each other at point F outside the circle.
Measure of angles between the secants measures half of the difference between the intercepted arcs.
x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]
x° = [tex]\frac{1}{2}(108-42)[/tex]
x = 33°
11x + 4y = 32
x = -2y - 2
can someone give me the answer to this !
Answer:
9
Step-by-step explanation:
Answer:
there are nine teachers
Step-by-step explanation:
19.87 but there’s a 20% discount what’s the answer now?
19.87 = 100%
If you divide both sides by ten, you would get what ten percent is.
1.987 = 10%
Multiply this by two to get 20%.
3.974 = 20%
Minus twenty percent from the original amount.
18.87 minus 3.974 = 15.886 after the discount.
HELP NO WRONG ANSWER PLS
it's π 11²-π 3²
π(121-9)
3.14(112)
=351.68cm²
round off yourself (╥﹏╥)
PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
to make it quick
2*110 = arc FI
220° = arc FI
arc LI = 97°
arc FL = x
360 = 220 + 97 + x
43 = X
arc FL = 43°
:)
Write the fraction 3248 in simplest form.
Answer:
Step-by-step explanation:
ok so im not sure what the fraction is.... so i'll put all the choices
3/248= simplified
32/48= 2/3
324/8= 81/2
3248/1= 3248
Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
In 2011 a sweatshirt cost $20 and in 2012 the price increase to 25 what is the percent change