The options have not been given but three correct alternatives have been presented as the solution.
We have given,
[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]
Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,
What is the rule of a^2-b^2?[tex](a^2-b^2)=(a-b)(a+b)[/tex]
By applying the above formula we have:
[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
Therefore the solution is,
[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]
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Answer:
C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>
Step-by-step explanation:
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.
Answer:
let's see....
lil info about elimination method:
it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.
look at -6 in the first equation and the other -6 below it in the second equation.
if you have something like that, then just look for a symbol like - or + that will eliminate them
so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.
so x cannot be negative...
so x = -2.
( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)
I hope this helps
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
Kyra had a sheet of stickers. She gave 5/8 of the sheet of stickers to Phil. She gave 2/8 of the sheet of stickers to Lisa. What fraction of the sheet of stickers did Kyra give to Phil and Lisa in all?
The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?
Answer: 19.5ft
Step-by-step explanation: L represents length and b represents width or breadth
Find the stepsteps in the file.
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
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Write (-4,3) and (-5,-2) in slope intercept form
A company has total sales in 2018 of $500,000 and expects sales to grow at a compounded annual rate of 3% each year for the next several years. What will sales be in 2020?
a) $515,000
b) $530,450
c) $ 546,363
James opens 2 different savings accounts and deposits $12,000 into each one. account i earns 2.2% interest compounded annually. account ii earns 2.2% annual simple interest. there are no additional deposits or withdrawals. what is the sum of the total balances of these accounts at the end of 7 years? question 7 options: $27,168.00 $27,696.00 $27,949.08 $27,822.53
The Total Interest Combine will be interest from the compounded invesestment and that of the simple interest investement $13,974.54 plus $13,848.00 which is 27 822.54 US$
Compound InterestGiven Data
Principal = $12,000Rate = 2.2%Time = 7 yearsCalculation For Compound Interest:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 12,000.00(1 + 0.022/1)(1)(7)
A = 12,000.00(1 + 0.022)(7)
A = $13,974.54
Calculation For Simple Interest:
First, converting R percent to r a decimal
r = R/100 = 2.2%/100 = 0.022 per year.
Solving our equation:
A = 12000(1 + (0.022 × 7)) = 13848
A = $13,848.00
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Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)
Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.
The parameters are given as follows:
[tex]\overline{x} = 78, s = 10, n = 4[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]
The 95% confidence interval is (71.63, 84.36).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
(62.09, 93.91)
Step-by-step explanation:
The correct answer on Khan
A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?
Answer:
$20
Step-by-step explanation:
revenue would be price * quantity
p ( 120-3p)
-3p^2 + 120p = revenue max will occur at p = - b/2a = - 120/((2)(-3))
p max rev = 20
How do I find the measures of angles a,b, and c. I included a picture
A group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two-way table. a = b = c = d = e =
Answer:
a = 13, b = 28, c = 6, d = 22, e = 31
Step-by-step explanation:
A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53
Please help me, I will mark a brainiest
Answer:
..... :P
Step-by-step explanation:
I'm not sure man try asking a tutor
Write the inverse of 6x + 8y= 13 in f-1 (x) notation.
Answer:
Step-by-step explanation:
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f^-1(x)) / 8
8x = 13 - 6f^-1(x)
6f^-1(x) + 8x = 13
f^-1(x) = (13 - 8x) / 6
What is the cube root?
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
Answer:
4 / 5
Step-by-step explanation:
∛( 64 / 125 )
= ∛64 / ∛125
64 can be simplified as 4 x 4 x 4.
∛64
= ∛ ( 4 x 4 x 4 )
= 4
125 can be written as 5 x 5 x 5.
∛125
= ∛ ( 5 x 5 x 5 )
= 5
∛ ( 64 / 125 ) = 4 / 5
PLEASE HELP ME WITH THIS
Select the correct answer.
Function w is a nonlinear function. Which representation could represent function w?
Answer:
D
Step-by-step explanation:
ABC are linear so it has to be d
Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30
Answer:
D
Step-by-step explanation:
(z + 6)(2z² + 3z + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis
= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms
= 2z³ + 15z² + 23z + 30
Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)
Answer:
3x + 6.
Step-by-step explanation:
That would be x + x +2 + x + 4
= 3x + 6.
Verify this by adding 7 9 and 11:
7 + 9 + 11 = 27
3(7) + 6 = 21 + 6 = 27.
How many lines of symmetry does the figure have?
Will mark brainlyest!
4
hope it helps....!!!!
Need help with this problem
Answer:
44
Step-by-step explanation:
i done this
9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?
Volume of the box = 5.2 × 9.6 × 6
= 299.52 ≈ 300 cm³ (approx)
Which graph best represents the solution set of -4x ≤ 6y − 54?
Answer:
a
Step-by-step explanation:
if its the same one i saw, the answer is a :)
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said
A plant is already 13.25 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=0,09x+13,25
What is the plant's height after 20 months?
PLEASE HELP ME SOLVE THISSSS
H = 0.09 (20) + 13.25
H = 1.80 + 13.25
H = 15.05 m
what is is a true statement?
Answer:
The Second option, all parallelagrams are quadralatterals.
Step-by-step explanation:
because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.
A walk-in path BE in a park intersects two sides of the park at their midpoint. You walk from point D to E , from E to B, from B toC, and back to point D. How many yards did you walk
See attached image.
No measurements were given for the park, so I made an assumption to demonstrate how the calculation might be done,. Adjust for the actual measurements.
According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hours?
Answer:
2/4 or 1/2
Step-by-step explanation:3/4 minus 1/4 is 2/4
If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?
Answer:
+6
Step-by-step explanation:
8x+2y=2so,
-3(8x+2y)
-3(-2)
-3×-2
remember -×- is a + so,
the answer is +6
Answer:
6Step-by-step explanation:
Given
8x + 2y = -2Multiply both sides by -3
-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6