Answer:
3 solutions
Step-by-step explanation:
x = 0; x = 2; x = -6
As we are given with an equation as follows :
[tex]{:\implies \quad \sf x^{2}(x+2)(x+6)=0}[/tex]
As product of these three factors is equal . So , any of these factor can be 0 as product is 0 only when one of the expressions which are multiplied is 0. So , 3 cases arises as follows ;
Case I :-[tex]{:\implies \quad \sf x^{2}=0}[/tex]
On raising ½ power to both sides we have ;
[tex]{:\implies \quad \sf x=\pm \: 0}[/tex]
Now , as +0 and -0 have no difference in them . So , it's simply 0
[tex]{:\implies \quad \sf So\quad x=0}[/tex]
Case II :-[tex]{:\implies \quad \sf x+2=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-2}[/tex]
Case III :-[tex]{:\implies \quad \sf x+6=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-6}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Hence \:\: x\in \{0,\: -6,\: -2\}}}}[/tex]
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 5/27, ...
Find the 10th term.
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
12 and 3000 as decimals full equation
Answer:
12=0.12x100
3000=0.3x10000
What is the slope of the line on the graph below?
Answer:
2
Step-by-step explanation:
Which two numbers is 28 (square root) between?
A. 5.0 and 5.1
B. 5.2 and 5.3
C. 5.4 and 5.5
D. 5.6 and 5.7
Answer:
The answer is B.
Step-by-step explanation:
First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3
Hope I helped yo.
PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm
[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ axy} [/tex]
9.41 x 4.8 with the work pls .
Answer: 45.168
Step-by-step explanation: First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168
fine the output when the input is n.
Step-by-step explanation:
the output is -17 while the input is 5
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
A. 32.4
B. 97.2
C. 121.5
D. 162. 1
Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
PLSS HELP Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability? A) 25 coin tosses B) 35 coin tosses C) 55 coin tosses D) 75 coin tosses
Answer:
Its A- 25 coin tosses
Step-by-step explanation:
I took the test
Algebra 2
Please help!
Answer:
3x
Step-by-step explanation:
Since k(x)=27x^3, we replace it in h( k(x) ), we will get:
h(27x^3)
Given that h(x)={3}√x [my keyboard doesn't support cubic root]
= {3}√(27x^3)
27 is 3^3,
Simplifying, the final answer is:
3x.
Answer:
3x
Step-by-step explanation:
[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]
It takes 8 men to complete a job in 20 hours. How many hours will 5 men take
Answer:
Well first we find out how many hours 1 man takes
So we say
Unknown. ×given
Known
20 divided
8. × 1
=2,5 hr/1 man
Then we multiple the wanted man by the single hour man
5 ×2,5
=12,5 hrs
Hope this answer helps
Hwlsibdsja aka sus ejsnahabah HELP
Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?
Answer:
5 ≤ y ≤ 205
Step-by-step explanation:
Input values 0 and 50 for x in the function f(x) - 4x + 5
Solve:
f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205The range is between these two points: 5 ≤ y ≤ 205
-Chetan K
A farmer bought a goat for Rs 15000 and cow for Rs 35000. if he sold the goat at 10% profit and cow at 20% loss, find his profit or loss percent in whole transaction
Answer:
After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500
Goat profit was 1500
Cow loss was - 7000 therefore thw total profit was 8000
And here’s the second pic for the Brainly
Answer:
3a³ -20a² +16a -24
Step-by-step explanation:
4.Unlike the other problems shown here, this one requires you combine like terms.
= a(3a² -2a +4) -6(3a² -2a +4)
= 3a³ -2a² +4a -18a² +12a -24
= 3a³ -20a² +16a -24
Lena is a software salesperson. Her base salary is $1800 and she makes $50 more for every copy of English is Fun she sells. Her total pay, P (in dollars), after selling c copies is given by the following.
P=50c+1800
1. what is the Lenas total pay if she sells 25 copy's?
2. If lenas total pay is 3500 how many copys did she sell?
1. Lenas total pay if she sells 25 copy is $3050.
2. The copy sold is 34.
What is the Lenas total pay if she sells 25 copy's?From the information given, Lena is a software salesperson. Her base salary is $1800 and she makes $50 more for every copy of English is Fun she sells.
It should be noted that the total pay, P after selling c copies is given by:
P = 50c + 1800
c = number of copies
The pay for 25 copies will be:
P = 50c + 1800
P = 50(25) + 1800
P = 1250 + 1800
P = 3050
When lenas total pay is 3500 the copys did she sell will be:
50x + 1800 = 3500
Collect like terms
50x = 3500 - 1800
50x = 1700
Divide
x = 34
The copy is 34.
Learn more about equations on
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In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp
Answer:
ok so basically 21
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
31 /150
Decimal Form: 0.206
The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.
Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D : [tex]3x + 2[/tex]
How to factorize a polynomial?Let the polynomial A(x) has one factor f(x).
Then, it means, we have:
[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]
Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]
Thus, the other factor of that polynomial is
[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]
For given case, the polynomial [tex]A(x)[/tex] is
[tex]A(x) = 6x^2 - 7x + 2[/tex]
Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]
Thus, its second factor is obtained as:
[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]
Thus, the second factor of the given polynomial is
Option D : [tex]3x + 2[/tex]
Learn more about factors of polynomials here:
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A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560
Answer:
nvm its acctually B. 460
Step-by-step explanation:
just did it
The expected value of the prize that will be awarded is $460.
What is expected value?The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.
here, we have,
to determine the expected value:
The expected value is calculated using:
E(x) = Σx * P(x)
So, we have:
E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2
Evaluate
E(x) = 460
Hence, the expected value of the prize that will be awarded is $460
Read more about expected values at:
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A rectangle has a length of 10 inches its width is 6 inches what is the area of the rectangle?
Area:-
[tex]\\ \tt\longrightarrow LB[/tex]
[tex]\\ \tt\longrightarrow 10(6)[/tex]
[tex]\\ \tt\longrightarrow 60in^2[/tex]
Answer:
Length of rectangle= 10 inch
Breadth of rectangle= 6 inch
Area of rectangle= L X B
= 10X6
= 60 sq. inch
Please mark as Brainliest
HELP QUICK!! PLEASE HELP!!! PLEASE PLEASE
Answer:
A.) Y= 8
B.) X= 9
Step-by-step explanation:
I noticed that the equation is x4 because 4x4= 16 and 5x4= 20.
So, I multiplied 4x2 to get 8 and divided 36/4 to get 9.
need help with 8 and 9.
Answer:
8. parallel
9. not parallel
Step-by-step explanation:
Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.
8.We can compare the whole to the short part:
102/45 ?? (41.8 +33)/33
2.266... = 74.8/33 = 2.266...
The sides are proportional, so the segments are parallel.
__
9.We can compare the longer portion to the shorter portion.
38/19 ?? 52/24
2 ≠ 2 1/6
The sides are not proportional, so the segments are not parallel.
_____
Additional comment
Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...
19/24 vs 38/52
19/(19+38) vs 24/(24+52)
or the inverse of these:
24/19 vs 52/39, for example
Sun Valley High School is trying to raise money for their band program. Nike and Adidas are both willing to sponsor their 5k walk/run using different financial plans. Nike promises to double the amount of money they contribute every kilometer, and will start with a $4 donation. Adidas promises to start with a $30 donation and will add $10 for every kilometer.
Which statement best describes which plan Sun Valley High School should choose and why?
A) Adidas starts off being the better plan because they contribute more at the start, but Nike ends up giving twice as much money as Adidas.
B) Nike is the better plan because they end up giving more total money since they are doubling.
C) Adidas ends up with a total of $80, but Nike only contributes $64, so Adidas is the better plan.
D) Adidas is the better plan because adding patterns are always better than doubling patterns.
Answer:
B because the more kilometers that they walk they will give 4 dollars but also double the money they contribute
Step-by-step explanation:
hope this helps if I'm wrong please notify me and I will help
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▉━╯┗━╮
▉┈┈┈┈┃
▉╮┈┈┈┃
╱╰━━━╯
Can someone please help me? i will give brainliest!!!
Answer:
Step-by-step explanation:
Area of parallelogram = bh
=> The height = 108 : 9 = 12 ft
The length of the rug is less than the height of the parallelogram : 10 < 12
The width of the rug is also less than the base of the parallelogram : 6 < 9
So, the rug will fit in the room
:D
If you spin the spinner 55 times, what is the best prediction possible for the number of times it will land on pink? (WORTH 30 POINTS)
Answer:
45 times
Step-by-step explanation:
There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.
Multiply the probability by 55
[tex]\frac{9}{11}[/tex] × [tex]\frac{55}{1}[/tex]
Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5
[tex]\frac{9}{ 1}[/tex] × [tex]\frac{5}{1}[/tex]
45
There are 12 cookies and 4 friends what fraction of the cookies will each friend get?
Answer:
1/4
Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.
You're welcome! Please mark me as Brainliest >w<
[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLEASE HELP DUE AT 11:59 For the inequality, find two values for r that make the inequality true: -5x<2
A. -2
B. 3
C. -5
D. -6
E. 5
Answer:
b,e
Step-by-step explanation:
-5x -2= 10 false
-5x3=-15 true
-5x-5=25 false
-5x-6=30 false
-5x5=-25 true
[tex]\large\textbf{Hey there!}[/tex]
[tex]\mathbf{-5x < 2}\\\\\huge\textbf{DIVIDE -5 to BOTH SIDES}\\\mathbf{\dfrac{-5}{-5} < \dfrac{2}{-5}}\\\huge\textbf{CANCEL out: }\huge\boxed{\mathbf{\dfrac{-5}{-5}}}\huge\textbf{ because it give you 1}\\\huge\textbf{KEEP: }\huge\boxed{\mathbf{\dfrac{2}{-5}}}\huge\textbf{ because it help what is being}\\\huge\textbf{compared to the x-value}\\\large\textbf{NEW EQUATION: x }\mathbf{ > \dfrac{2}{-5}}\\\\\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\huge\textbf{Thus, your answer is: \boxed{\mathsf{x > - \dfrac{2}{5}}}}\huge\checkmark[/tex]
[tex]\large\textbf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?
Answer:
25 students
Step-by-step explanation:
Let x represent the amount of students in the astronomy club then:
80%x=20
Convert 80% to a fraction. Any percentage is that number over 100:
[tex]\frac{80}{100}x=20[/tex]
Simplify the fraction:
[tex]\frac{8}{10}x=20[/tex]
[tex]\frac{4}{5}x=20[/tex]
Multiply both sides by 5:
[tex]4x=100[/tex]
Divide both sides by 4:
[tex]x=25[/tex]
There are 25 students in the astronomy club.
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 StartFraction x cubed Over 2 EndFraction 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x Over 4 EndFraction StartFraction x cubed Over 2 EndFraction 1 1 – 2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction.
Answer:
the correct answer is B
Step-by-step explanation:
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
Answer:
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 aka B
Step-by-step explanation:
Help me pls look at the image 20 points