Answer:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Step-by-step explanation:
Firstly, divide all parts of the equation by 3:
[tex]3x^3 + 3x^2-36[/tex]
[tex]3(x^3 + x^2-12)[/tex]
Now focus on the equation:
[tex]x^3 + x^2-12[/tex]
We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:
1 12
2 6
3 4
1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:
[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]
We can confirm this is simplified by multiplying together:
[tex](x - 2) (x^2 + 3x + 6)[/tex]
[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]
= [tex]x^3 + x^2 - 12[/tex]
Meaning it is simplified.
Now, put the equations together:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Hope this helps!
w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2
w + 2 = x
x + 2 = y
Cross multiply
y(w+2) = x(x+2)
wy + 2y = x^2 + 2x
make x the subject of the equation
x = y - 2
substitute this in place of (x) in 2x
wy + 2y = x^2 + 2(y-2)
wy + 2y = x^2 + 2y - 4
wy + 2y - 2y + 4 = x^2
wy + 4 = x^2
Find f(0) and f(6)
f(x)= x^2+10x+72/x^2-12x+36
Answer:
f(0) = 2 f(5) = 147
Step-by-step explanation:
f(0) = (0²+10·0+72)/(0²-12·0 + 36) Substitute 0 for x and solve.
= 72/36
= 2
f(5) = (5²+10·5+72)/(5²-12·5 + 36) Substitute 5 for x and solve.
= (25 + 50 + 72)/(25 - 60 +36)
= 147/1
= 147
- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth)
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
Identify the common difference of the sequence: -8, -1, 6, 13,...
Please do not post suggestions to go to random sites for the answers. I'm on a timed test. Don't waste my time.
A. -6
B. -7
C. 7
D. 6
Answer:
c positive seven because to find the common difference we have subtract -1from-8 that's I (T2-T2)
welp. this is 9marks question
Answer:
4
Step-by-step
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Hey there!
Let's take the number of cows in the field as 'c'.
Then, the number of horses in the field is = c + 2 [2 more horses than cows]
Total number of animals on the field = 16.
So, equation becomes...
c + c + 2 = 16
2c + 2 = 16
Hope it helps ya!
What is the smallest number that rounds to 45 000 when round off to the nearest thousand
The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.
- BRAINLIEST answerer
Answer:
44 500
Step-by-step explanation:
When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000
Evaluate the expression 6^2-(8–4^2+7
please mark this answer as brainlist
The value of given expression is 27.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 6²-(8-4)²+7.
Here, 6²-(8-4)²+7
= 6²-(4)²+7
= 36-16+7
= 20+7
= 27
Therefore, the value of given expression is 27.
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Correct answer will get brainiest
Answer:
( i ) ∠AOB = 72
( ii ) ∠BOC = 67
( iii ) ∠COD = 134
( iv ) ∠AOD = 87
Step-by-step explanation:
Sum of angles in a circle is 360,
a + b + c + x = 360
72 + 67 + 134 + x = 360
273 + x = 360
x = 360 - 273
x = 87
∠AOB = a = 72
∠BOC = b = 67
∠COD = c = 134
∠AOD = x = 87
Step-by-step explanation:
From the diagram,
AOB = a= 72
BOC = b = 67
COD= c = 134
&
AOD+AOB + BOC+ COD= 360 [Angle ofcomplete turn]
or,AOD + 72+67+134= 360
or,AOD +273=360
or AOD= 360-273=87degree
There exist integers min such that m minus n is less tha or equal to m plus n.
Answer:
I have asked question in my profile please tell me that answer please
A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
(137.75 - 15.25)/24.5=x
122.5/24/5=x
5=x
x= number of friends who can go to the amusement park
Step-by-step explanation:
137.75 is the total amount of money.
First, we need to subtract 15.25 because this money is going to be spent on parking.
Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.
Hope this helped!
By solving a linear equation we will see that 5 people can go to the amusement park.
How to write the linear equation?We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:
$137.75 - $15.25 = $122.50
Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:
y = $122.50 - $24.50*x
To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).
$0 = $122.50 - $24.50*x
$24.50*x = $122.50
x = $122.50/$24.50 = 5
So with that amount of money, 5 people can go to the amusement park.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
(7x+19){}(x+1){}(x+5)
We move all terms to the left:
7x-19-(x+5)=0
We get rid of parentheses
7x-x-5-19=0
We add all the numbers together, and all the variables
6x-24=0
We move all terms containing x to the left, all other terms to the right
6x=24
x=24/6
x=4
ik how to do the calculation but 36 doesn't come in 5's table (the table I'm using to cancel) so i don't know how to cancel 150 by 360 thus i can't find the angles for it
Answer:Take as an example
Step-by-step explanation:
7,203 x 6,892. If I want to know that exactly, then I reach for Mathematica (or if I absolutely have to, I reach for pencil and paper to apply multiplication in columns). But often I just need a rough answer, so I mentally convert this to 7,000 x 7,000 = 7 x 7 x 1,000 x 1,000 = 49,000,000. More formally I am converting the numbers the nearest approximation of the form k x 10n where k ∈ {the set of numbers for which I know times tables}. Then I use the times tables on the remaining significant digits and implicitly use the 10 times table to get the magnitude right. In this case the real answer is:
A rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is square feet. Reset Next
Answer:
0
Step-by-step explanation:
Please refer to the previously asked question:
https://brainly.com/question/24265969?referrer=searchResults
Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c
Answer:
y=-1/2x+7/2
Step-by-step explanation:
Gradient is negative reciprocal so -1/2x
3=-1/2x + 7/2
y=-1/2x+7/2
Answer:
perpendicular lines have the same gradient
y=2x+3
The gradient of the two lines is 2
Gradient=change in y/change in x
=y2-y1/x2-x1
Let (x,y) also lie on the line
2= y-3/x-1
2(x-1) =y-3
2x-2=y-3
2x-y=-3+2
2x-y= -1
2x+1 =y
y=2x+1
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY
Given that Cos(A) = .6 and csc(A) is -1.25, what is tan (a)
============================================================
Explanation:
cos(A) = 0.6 = 6/10 = 3/5
Recall that csc is the reciprocal of sine.
If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5
Then we would have
tan(A) = sin(A)/cos(A)
tan(A) = sin(A) ÷ cos(A)
tan(A) = (-4/5) ÷ (3/5)
tan(A) = (-4/5) * (5/3)
tan(A) = -4/3
Answer:
-4/3
Step-by-step explanation:
Check the solution
2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
-56 = a(3²) + b(3) + c
-56 = 9a + 3b + c 1)
-16 = a(-1²) + b(-1) + c
-16 = a - b + c 2)
-51 = a(-2²) + b(-2) + c
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
Evaluate v(x) = 12 - 2x - 5 when x = -2, 0, and 5
Answer:
65
Step-by-step explanation:
A 98% confidence interval for a proportion is found to be (0.62, 0.68).
What is
the sample proportion?
O A. 0.66
OB. 0.64
O C. 0.65
O D. 0.68
Answer:
I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.
Step-by-step explanation:
If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much
Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.
What is confidence interval for population proportion?Formula to calculate the confidence interval for population proportion p :-
[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }[/tex]
Where,
p is the population proportion.
p' is the sample proportion.
n is the size of the sample.
[tex]Z_{\alpha }[/tex] is the desired degree of confidence.
Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).
[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68[/tex]
Adding the two equations,
2p' = 1.3
p' = 0.65
Learn more about confidence interval for population proportion here
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Pls help due in 10 minutes
Answer:
here is your answer hope it helps you
3. Kayla bought 3 pounds of peachee for
$1.49 per pound. How much did she pay for
the peaches?
Answer:
$4.47
Step-by-step explanation:
If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.
$1.49 x 3 = $4.47
Hope this was helpful =D
If it was, maybe I could be brainiest?
No pressure! :)
standard form
y = -8x + 7
The pot-belly seahorse is one of the largest seahorse species and is known for having a large belly. As a part of its diets, a pot-belly seahorse eats about 63 shrimp per week. It eats the same amount each day.How much shrimp does the pot-bellied seahorse eat per day?
Answer:
9 shrimp per day.
Step-by-step explanation:
63/7=9
9*7=63
come nueve al día
Dividimos 63/7=9
use the numbers -4,-1,3/2 or 2/3 to write an expression brainly
Answer:
4x1 divide 2 minus 3 plus 2
Step-by-step explanation:
I think
Find the value of x
(Please please please help me I will give you brainliest!)
Answer:
55
Step-by-step explanation:
rectangular triangle 180-(35+90)=55
Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell
Answer:
So number of Adult tickets sold = A = 26.
Step-by-step explanation:
Define A, C, S as
A = number of adult tickets,
C = number of children tickets,
S = number of Senior tickets.
Then, by the statement of the problem, we have that
A = 8 + C,
S = 3C,
3C + 4S + 6A = 426,
so that
3C + 4(3C) + 6(8 + C) = 426
3C + 12C + 48 + 6C = 426
21C + 48 = 426
7C + 16 = 142
7C = 126
C = 126/7 = 18
A = 8 + 18 = 26
S = 3(18) = 54
There are twice as many gray kittens than white
kittens. There are 4 white kittens. How many gray
kittens are there?
Answer:
8 gray kittens
Step-by-step explanation:
There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.
Hope this helps!
Find the angles marked x,y and z.
ASAP
Answer:
x= 45°
y= 95°
z= 85°
hope this helps <3
Answer:
Step-by-step explanation:
x= 50
y+25=180(because it is on a straight line)
y+25=180
y+25=180
y+25-25= 180-25
y+0= 155
y= 155
z+ y=180
z+ 155= 180
z+ 155- 155 =180-155
z+ 0 = 25
z = 25
x = 50
y = 155
z = 25
What is 6 x (6.3 + c)?
plss my auntie acting slow help
Answer:
37.8+6c
Step-by-step explanation:
6(6.3+c)
multiply 6 to both
37.8+6c
solve pls brainliesttt
Answer:
-343
-125
Here you go
Answer:
1. -343
2. 25
3. v+21=47 v= 26
Step-by-step explanation: Hope this helps!