Answers
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Related Questions
The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the
mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible
samples of size four?
Answers
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
[tex]n = 4, \sigma = 20[/tex], thus:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207
Hello:) how to do question 6? :) I’m not sure which property to use :/
Answers
Answer:
which grade are you in so that i can tell you according to that
i, vì AD//BC nên góc A +góc B =180°
ii, góc A=góc B nên góc C=góc D -> ABCD là hình bình hành
And AB=BC=> ABCD là hình thoi
20. What is the transformation?:
a. rotation
b. reflection
c. translation
Please help me with this! It’s due in a few hours
Answers
Answer:
Reflection
Step-by-step explanation:
A rotation would be to rotate a figure around the origin
A reflection would be to reflect the figure around one of the axes.
A translation would be to move a figure a certain amount of units.
Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.
It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.
This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.
The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.
dilations geometry help please
Answers
Multiply x and y by 2:
A. (-6, 4)
B. (2, 2)
C. (-2, -2)
a mean of μ = 78 points with σ = 9. She collects a sample mean of M = 84 for app users. What is the null hypothesis, in both words and symbols?
Answers
Answer:
M ≤ μ (=78)
Here μ denotes the means of the population
And, M denotes the sample mean
Step-by-step explanation:
The computation of the null hypothesis, in both words and symbols is given below:
Null Hypothesis(H0) is
M ≤ μ (=78)
This means that the study application does not improve the grades
Also
Alternative hypothesis (H1): M> μ
Here μ denotes the means of the population
And, M denotes the sample mean
solve for missing side
Answers
Answer:
50.99
Step-by-step explanation:
Answer:
x = −38
Step-by-step explanation:
You have an angle: 50 and the opposite side: 10 and you need the hypotenuse.
For this problem, you need to use Sin
Sin (50) = 10/x
Multiply both sides by x
X (Sin(50)) = 10
Then divide by (Sin(50))
x = 10/ Sin(50)
x = −38
Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)
Answers
Answer:
x=2, x=-2, x=-3
Step-by-step explanation:
-check if anything simplifies
(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)
(x-3)²(x+1)² / (x-2)(x+2)(x+3)
-make the denominator 0 to find the asymptotes
(x-2)(x+2)(x+3) = 0
(x-2) =0 gives x = 2 asymptote
(x+2) =0 gives x= -2 asymptote
(x+3) = 0 gives x=- 3 asymptote
HURRY!!!
Given: PB tangent
PV, PU Secants
If m VU = 80° and m ST = 30°, then m<1 = 25 40 55
Answers
Answer:
25°
Step-by-step explanation:
(80-30)/2
= 50/2
= 25
Answered by GAUTHMATH
Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.
What is secant tangent rule?If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.
Given that, PB is tangent and PV and PU are secant.
Here, measure of arc VU = 80° and measure of arc ST = 30°
Now, m∠1=1/2 ×measure of arc VU
m∠1=1/2 ×80°
m∠1=40°
Therefore, option B is the correct answer.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
#SPJ7
Can someone explain this
Answers
=========================================================
Explanation:
Let x be the unknown angle we want to find. This angle is in degrees.
The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.
We use the tangent ratio to tie the two sides together
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]
Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.
I really need help……
Answers
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
Study the sequence and choose the correct answer. 1;4;p;64;t;...
A:p=8 and t =108 ,
B:p=16 and t=256 ,
C; p=6 and t = 32
D;p=5 and t= 74
Answers
Answer:
B
Step-by-step explanation:
Each number in the sequence is being multiplied by 4
like this:
1, 4, 16, 64, 256
4. If 8 out of 25 snacks are healthy, how many healthy snacks will there be per 100 snacks total?
Answers
Answer:
32 of them would be unhealthy. this is because 25 times 4 equils 100, so 8 times 4 equils 32.
Answer:
32 healthy snacks
Step-by-step explanation:
-set up an equivalent fraction to keep the same proportion
8 healthy / 25 snacks = ? healthy / 100 snacks
-solve for ? healthy
8/25 = ?/100, cross multiply
25 * ? = 8*100 , divide both sides by 25
? = 800/25 = 32 healthy snacks
* you can also think that 100 is 25 four times,
so the healthy snacks are 8*4 =32
please answer this!!!
Answers
Answer:
C 20
Step-by-step explanation:
use sine law
Answer:
C, 20
Step-by-step explanation:
Angle c= 30
side AC= 40
sin(30)=x/40
40sin(30)=x
x=20
simplify 12/2 . 12/3
Answers
Step-by-step explanation:
is that really all ?
to simplify 12/2 and 12/3 ?
well, 12 can be divided by 2 and by 3 without remainder.
and so we get
12/2 = 6/1 = 6
12/3 = 4/1 = 4
John walked from town A to Town B at a uniform speed of 4km/hr.When he reached town B ,he was turned back immediately and he walked back to town A along the same road at a uniform speed of 6km/hr.What is his average speed for the whole trip?
Answers
Answer:
His average speed for the whole trip is 5km/hr
Step-by-step explanation:
Answer:
4.8 km/hr
Step-by-step explanation:
Assume that the distance is 24 km (evenly divisible by 4 & 6)
then the A-B time would be 24/4 or 6 hrs.
on the return the time would be 24/6 or 4 hrs.
total time 10 hrs total distance 48 km....
48/10 = 4.8 km/hr
find the missing side. Round it to the nearest tenth.
Answers
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
Joe and JoAnn each bought 12 ounces of coffee in a 16 ounce cup. Joe drank 2 ounces of his coffee and then added 2 ounces of cream. JoAnn added 2 ounces of cream, stirred the coffee well, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee
Answers
Answer:
[tex]Ratio = 7:6[/tex]
Step-by-step explanation:
Given
Initially
[tex]Joe = 12oz[/tex] -- coffee
[tex]JoAnn = 12oz[/tex] -- coffee
Joe drank 2oz coffee; So, we have:
[tex]Joe = 12oz - 2oz[/tex]
[tex]Joe = 10oz[/tex] --- coffee
Joe added 2oz cream; So, we have:
[tex]Joe = 10oz[/tex] --- coffee [tex]Joe = 2oz[/tex] --- cream
JoAnn added 2oz cream and stirred. So, we have:
[tex]Joe = 12oz[/tex] --- coffee [tex]JoAnn = 2oz[/tex] --- cream
[tex]Total = 14oz[/tex]
JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:
[tex]JoAnn = \frac{Cream}{Total}[/tex]
[tex]JoAnn = \frac{2}{14}[/tex]
[tex]JoAnn = \frac{1}{7}[/tex]
Amount of cream left is:
[tex]Amount = [1- \frac{1}{7}] *2[/tex]
Take LCM
[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]
[tex]Amount = \frac{6}{7} * 2oz[/tex]
[tex]Amount = \frac{12}{7}oz[/tex]
So, we have:
[tex]Joe = 2oz[/tex] --- cream
[tex]JoAnn = \frac{12}{7}[/tex] cream
The ratio is:
[tex]Ratio = 2:\frac{12}{7}[/tex]
Multiply by 7
[tex]Ratio = 14:12[/tex]
Divide by 2
[tex]Ratio = 7:6[/tex]
Translate into algebraic expression: 22 decreased by y%
Answers
Answer:
Step-by-step explanation:
So first we need to find out what y% of 22 would be,
y% * 22
0.001y*22
= 0.22y
0.22y is equaled to y% of 22. Now we have to subtract 22 by the y%.
Therefore,
22-y%*22
which is:
22-0.22y!
Cheers! I hope you understand the problem now.
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).
THIS IS 60 POINTS BTW
Answers
Answer:
2nd option
Step-by-step explanation:
If f(x) is an even function , then
f(x) = f(- x)
f(x) = x² - x + 8
f(- x) = (- x)² - (- x) + 8 = x² + x + 8
Since f(x) ≠ f(- x) then f(x) is not an even function
How was the graph of RootIndex 3 StartRoot x EndRoot shifted to form the translation?
2 units up
2 units down
2 units left
2 units right
Answers
Answer:
2 units up
Step-by-step explanation:
If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.
Answer:
2 up
Step-by-step explanation:
i took the test
Quadrilateral ABCD has vertices at A(0,0), B(0,2), C(6,2), and D(6,0). Find the vertices of the quadrilateral after a dilation with scale factor 3/2.
Answers
Answer:
A=0
B=0,3
C=9,3
D=9,0
Step-by-step explanation:
Multiplies all the vertices bay scale factor 3/2
the Marked price of a book is rupees 500 if 30% discount is all over there in a loss of rupees hundred is made what is the cost price of the book
Answers
Answer:
cost price of book is Rs. 570
URGENT PLS HELP<3 Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets.
Answers
Answer:
5n
Step-by-step explanation:
cost of one helmet = $5
let 'n' be the number of person that is n=1,2,3,4........
note that the value of n is always a natural number
therefore the expression = 5n
where 5 is the cost one helmet
n is the number of persons
A merry-go-round has 25 horses. Each horse
is labeled consecutively with a letter from A to
Y-the first horse is labeled A, the second
horse is labeled B, and so on. A child walks
around the merry-go-round, starting at horse
A and continuing in alphabetical order,
counting as she goes. She stops at the 337th
horse. What is the letter of that horse?
A. A
B. J
C. K
D. L
E. M
Answers
Answer:
M
Step-by-step explanation:
337 / 25 = 13.48
Round to the nearest whole number = 13
The 13th letter of the alphabet is m, so:
The answer is M.
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?
A. 1/5
B. 5
C. 1
D. 1/25
Answers
Answer:
1/5
Step-by-step explanation:
because multiply any different copies by 1/5 to get the cost of the print shop
Find the measure of the indicated angle.
Answers
Answer:
i think it the measured of the indicated angle is 55
simplified expression of 3(7/5x+4)-2(3/2-5/4x)
Answers
Answer:
6,7 x+9
Step-by-step explanation:
[tex]3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9[/tex]
7TH GRADE MATH. PLS HELP
Answers
Answer:
192 squared centimeters
Step-by-step explanation:
area equal to 1/2 * base * perpendicular height
1/2*24*16
=192 squared centimeters
Answer: 192 cm squared
Step-by-step explanation:
Area of a triangle: 1/2bh
1/2x basex height
Base= 24 cm
Height: 16 cm
24x16=384
1/2x384= 192
192 cm squared
Hope this helps:) and brainliest would be appreciated thanks!
convert f(x) = 5x(x – 6) to standard form
Answers
Answer:
[tex]5x^{2} - 30x[/tex]
Step-by-step explanation:
please help me with this math question!
Answers
Answer:
350 - 170 - 120 = r
Step-by-step explanation:
Identify the variable:
r = number of red pens
The total amount of pens ordered is 350 when adding all three colors of pens. This means we must add all of the colored pens to find the total number of pens, 350.
Write this as an equation:
170 + 120 + r = 350
Rewrite the equation to find r:
350 - 170 - 120 = r
