Answer:
(x (8 x^2 - 20 x + -33))/(2 (x - 3))
Step-by-step explanation:
Simplify the following:
4 x^2 + 2 x - (42 x)/(4 (x - 3))
The gcd of 42 and 4 is 2, so 42/4 = (2×21)/(2×2) = 2/2×21/2 = 21/2:
4 x^2 + 2 x - x/(x - 3) 21/2
Put each term in 4 x^2 + 2 x - (21 x)/(2 (x - 3)) over the common denominator 2 (x - 3): 4 x^2 + 2 x - (21 x)/(2 (x - 3)) = (8 (x - 3) x^2)/(2 (x - 3)) + (4 (x - 3) x)/(2 (x - 3)) - (21 x)/(2 (x - 3)):
(8 x^2 (x - 3))/(2 (x - 3)) + (4 x (x - 3))/(2 (x - 3)) - (21 x)/(2 (x - 3))
(8 (x - 3) x^2)/(2 (x - 3)) + (4 (x - 3) x)/(2 (x - 3)) - (21 x)/(2 (x - 3)) = (8 (x - 3) x^2 + 4 (x - 3) x - 21 x)/(2 (x - 3)):
(8 x^2 (x - 3) + 4 x (x - 3) - 21 x)/(2 (x - 3))
Factor x out of 8 (x - 3) x^2 + 4 (x - 3) x - 21 x, resulting in x (8 (x - 3) x^(2 - 1) + 4 (x - 3) - 21):
(x (8 x^(2 - 1) (x - 3) + 4 (x - 3) - 21))/(2 (x - 3))
2 - 1 = 1:
(x (8 x (x - 3) + 4 (x - 3) - 21))/(2 (x - 3))
8 x (x - 3) = 8 x^2 - 24 x:
(x (8 x^2 - 24 x + 4 (x - 3) - 21))/(2 (x - 3))
4 (x - 3) = 4 x - 12:
(x (4 x - 12 + 8 x^2 - 24 x - 21))/(2 (x - 3))
Grouping like terms, 8 x^2 + 4 x - 24 x - 21 - 12 = 8 x^2 + (-24 x + 4 x) + (-12 - 21):
(x (8 x^2 + (-24 x + 4 x) + (-12 - 21)))/(2 (x - 3))
4 x - 24 x = -20 x:
(x (8 x^2 + -20 x + (-12 - 21)))/(2 (x - 3))
-12 - 21 = -33:
Answer: (x (8 x^2 - 20 x + -33))/(2 (x - 3))
105 is a perfect square. Question 1 options: True False
Answer:
False
Step-by-step explanation:
105 is not a perfect square
close ones 100 and 121
Use the following picture to answer the questions.
Step-by-step explanation:
We know that measure of all right angles = 90 degrees
m<TPS = 45 degrees
m<QPV = 45 degrees
Which of these values represents the largest distance?
A. 5,000 inches
B. 0.5 miles
C. 5,000 feet
D. 500 yards
Answer:C 5000 feet
Step-by-step explanation:It’s slightly less then a mile.
Answer:
C. 5,000 feetStep-by-step explanation:
First of all, you would want to convert all of the distances into the same units.
Let's convert the distances to miles.
5,000 inches = about 0.08 miles
0.5 miles = 0.5 miles
5,000 feet = about 0.9 miles
500 yards = about 0.3 miles
Now, we compare the values.
We can easily place 5,000 inches last, because when converted to miles it's 0.08.
0.08<0.3<0.5<0.9
5,000 inches<500 yards<0.5 miles<5,000 feet
Hence, the answer is C.
Our Town Bakery is counting the amount of cookies sold in 14 days. The bakery sold 316 cookies each day. How many coplies did they sell in all during those 14 days?
Answer:
4,424 cookies
Step-by-step explanation:
14 times 316 is 4,424 cookies.
y = x^2- X-6
O A. (x-6)(x + 1)
O B. (x+3)(x-2)
O C. (x - 3)(x + 2)
D. (x-6)(x+5)
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of
the rectangle?
E:
7 in.
8 in.
09 in.
10 in.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Fill in the blank:
2 4 6=20
Answer:
2*(4+6)
Step-by-step explanation:
2 multiplied by the sum of 4 and 6 is 2 times 10, which equal 20. Hope this helps :)
Answer:
2x(4+6)
The factors of 20 are 1,20||| 2,10 |||4,5||||
We need to somehow get both of those numbers
We have 4 but there is no way to get 5 so only 1,20 and 2,10 are left
We have 2 and we can add 4 + 6 = 10 and 10 x 2 = 20 so that's our answer
Hope this heps
Step-by-step explanation:
A football is kicked from the ground and follows the graph of the function y = –t2 + 3t, where y represents height and t represents seconds. At the same time, a drone is launched from a height of 4 feet and follows the straight path of y = –t + 4. At what time are the football and the drone at the same height?
Options:
A. 2 seconds
B. 3 seconds
C. 1 second
D. 5 seconds
Answer:
The height of the objects are the same after 2 seconds.
Step-by-step explanation:
In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:
[tex]-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2[/tex]
The height of the objects are the same after 2 seconds.
What is 11 Over 12 divided by one-third?
Answer:
11/4
Step-by-step explanation:
I did 11/12 divided by 1/3. I hope this is correct if not I'm very sorry.
Answer:
2 3/4 or 11/4
Solve the system of equations and choose the correct ordered pair.
Answer:
C (2,5)
Step-by-step explanation:
Adding the equations, we get 10x+y=25
Multiplying that by 2 we get 20x+2y=50
Add that with the first equation, we get 24x=48, x=2.
Plugging x as 2 in, we see y = 5
So its (2,5)
2/5 +2/3 is equal to
Answer: 16/15
Step-by-step explanation:
2/5 + 2/3
(3/3)2/5 + (5/5)2/3
6/15 + 10/15 = 16/15
Answer:
1 1/15
Step-by-step explanation:
To solve this, you must find a common denominator.
The common denominator that comes to my mind is 15.
2/5 = 2*3/5*3
2/5= 6/15
2/3= 2*5/3*5
2/3= 10/15
6/15 + 10/15 = 16/15
16/15= 1 1/15
Which rule describes the translation KLMN - K’L’M’N
My parents met on January 1st 1998, my mother was born on May 18th, 1975, my father was born on February 14th 1974.
At what date has my mom known my father for longer than she lived before meeting him.
At what date has my dad known my mother for longer than he lived before meeting her.
Thank yall for the help!
Answer:
Father: 23 years
Mom: 24 years
Express the inequality using interval notation.
x < -4
Answer:
x< -4 = ( -∞, -4)
PLZ HELP I NEED HELP PLZ
Answer:
ok I will help
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
Find the roots. List your steps correctly. 2 points each (Show ALL steps of work, check each answer, and state the solutions correctly for full credit) a. f (n) = n2 − 6n − 16
Answer:
use quizlet
Step-by-step explanation:
Answer:
8 and -2
Step-by-step explanation:
f (n) = n² − 6n − 16
n² − 6n − 16=0n²-2*3n+9=25(n-3)²=25n-3=5 ⇒ n=8n-3= -5 ⇒ n= -24t+ 3.5 = 2.25 solve the equation
Answer:
-0.3125
Step-by-step explanation:
Subtract 3.5 from both sides
4t = -1.25
Divide both sides by 4
t =. -0.3125
Answer:
1.3335
Step-by-step explanation:
What is the value of m in the equation zman=16, when n=8?
20
32
44
48
Answer:
32
Step-by-step explanation:
thats what i think, im 99.9% im correct
Please hurry
What is the equation of the line that is parallel to the linear graph of
y = 2x – 1 and passes through the point (-1, 1)?
Answer:
y=2x+3
Step-by-step explanation:
Parallel: slope is 2
y-1=2(x+1)
y-1=2x+2
y=2x+3
if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).
Answer:
[tex]-7x-3[/tex]
Step-by-step explanation:
[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].
So
[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]
Use the information to estimate the number of swimmers on the team.
A swim team is divided into age groups: Guppies Stingrays and Sharks. There are 20 swimmers in
the Stingray group. If we randomly select 10 swimmers and 4 are Stingrays. How many swimmers can
we estimate are on the team?
We can estimate that there are___Swimmers on the team
Need help
Answer:
50 Swimmers
Step-by-step explanation:
If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:
20/x = 40/100
20/x = 4/10
20/x = 2/5
x = 50.
This shows that there are 50 people on the team.
Niu has decorated x cards he started with 24 stickers and he used 4 stickers per card
Answer:
6
Step-by-step explanation:
4 stickers each x 6 cards = 24 stickers used
you can try random numbers until you get your answer
Answer:
Total number of cards = 6
Step-by-step explanation:
Number of cards = Total number of stickers/ number of stickers per card
= 24/4
= 6
The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence?
Answer:
4 is the first term of the sequence
The second term would be 2x4+3 = 11
the third term would be 2×11+3 = 25
the forth term would be 2×25+3 = 53
Your sequence is 4,11,25,53
I PROMISE YOU, FIRST PERSON TO ANSWER IT 'CORRECTLY' GETS BRAINLY. Monica found a pair of skis that cost $122 more than the times the cost of the sled. The cost of the pair of skis was $197. What was the cost of the sled?
Answer:
$75 for the sled. (I don't understand "more than the times the cost of the sled")
Step-by-step explanation:
I don't understand "more than the times the cost of the sled" but if you were trying to figure out the cost of the sled, then it would be:
197-122=
75
A shepkeeper bought a bottle of cooking oil at $ 4.54 He then sold it for $7.49. inclusive of GST. The GST of 7% of the selling pnce is to be paid to the government.
(A) Find the GST he had to pay (B) Find the profit in selling one bottle of cooking oil.
Answer:
GST = $0.32
PROFIT = $2.63
Step-by-step explanation:
GST = 7% of $4.54 = 0.32
Profit = 7.49 - ( 4.54 + 0.32)
= 7.49 - 4.86
= 2.63
Please help :)))))))!!!
Answer:
i think its the option one, not sure
c) Ali had x packets of nasi lemak and shared
them equally among 5 persons. Each
person received 3 packets.
Answer:15
Step-by-step explanation:
If each person gets 3 packets and there are 5 people you take 5*3 and get 15
need help please ! parallelogram
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = [tex]\frac{180}{60}[/tex]
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = [tex]\frac{154}{14}[/tex]
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
If the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?
π square inches
Answer:
The laterals area is 15 [tex]\pi[/tex] square inches
Step-by-step explanation:
recall that the formula for the lateral area of a cone of radius R, when the slant height (hs) is given is defined by the formula:
[tex]lateral\,\,area=\pi \,R\,h_s[/tex]
Therefore, in this case, we have:
[tex]lateral\,\,area=\pi \,R\,h_s\\lateral\,\,area=\pi \,3\,*\,5\\lateral\,\,area=15 \, \pi[/tex]
That is 15 [tex]\pi[/tex] square inches
Answer:
15 pi square inches
Step-by-step explanation:
I just did it
Brainliest pls
3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the
car if the car accelerates at 0.85 m/s??
Answer:
1,500 Kg
Step-by-step explanation:
Formual for froce is given by
force = mass * acceleration
Force exerted by 1 woman = 425 N
no. of women exerting force = 3
Force exerted by 3 woman = 425 * 3 N = 1275 N
Acceleration produced by 1275 N force = 0.85 m/s^2
Using formula force = mass * acceleration
1275 = mass * 0.85 m/s^2
=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg
Thus, mass of car is 1,500 Kg.