Answer:
C
Step-by-step explanation:
anyone help me please
[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{ \sqrt{x + 1} - \sqrt{x - 1} }{( \sqrt{x + 1} + \sqrt{x - 1}) } [/tex]
[tex]\\ \rm\hookrightarrow \dfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}+\dfrac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}[/tex]
[tex]\sf Let\begin{cases}\sf \sqrt{x+1}=a \\ \sf \sqrt{x-1}=b\end{cases}[/tex]
Now
[tex]\\ \rm\hookrightarrow \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{\left\{(a+b)(a+b)\right\}+\left\{(a-b)(a-b)\right\}}{(a+b)(a-b)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{(a+b)^2+(a-b)^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{a^2+2ab+b^2+a^2-2ab+b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2a^2+2b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(a^2+b^2)}{a^2-b^2}[/tex]
Put values
[tex]\\ \rm\hookrightarrow \dfrac{2\left[(\sqrt{x+1})^2+(\sqrt{x-1})^2\right]}{(\sqrt{x+1})^2-(\sqrt{x-1})^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(x+1)(x-1)}{(x+1)(x-1)}[/tex]
Take 2 common[tex]\\ \rm\hookrightarrow 2\left(\dfrac{(x+1)(x-1)}{(x+1)(x-1)}\right)[/tex]
[tex]\\ \rm\hookrightarrow 2(1)[/tex]
[tex]\\ \rm\hookrightarrow 2[/tex]
Answer:
it was helpful to you dear ❣️❣️❣️❣️❤️❤️❤️
PLEASE HELP!!!! Im being timed
one angle of linear pair is 4 time the other find the angles
need answer asap
Answer: The angles are 36 and 144.
Step-by-step explanation:
Let the linear pairs be 4x and x
so
4x + x = 180 (being linear pair)
or, 5x = 180
or, x = 180/5
so, x = 36
so, 4x = 4*36 = 144
Please i need help
Solve by factorisation.
5x^2 + 7x + 2 = 0
Answer:
[tex]\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}[/tex]
Step-by-step explanation:
[tex]\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!i need help!!!! what does x equal?
Answer:
17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
We can find the missing angle inside the triangle by doing 180 - 94 = 86.
Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.
60 + 86 + 2x = 180
146 + 2x = 180
Subtract 146 from both sides
2x = 34
Divide by 2 to isolate x
x = 17
X
6.
The table shows all the possible sums when rolling two number cubes numbered 1
What is the probability that rolling two cubes results in a sum of 8P
6
1
2
3
4
5
6
7
1
2
3
4
5
6
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9. 10 11
7
8
9
10
11
12
Done
Answer:
Step-by-step explanation:
You can roll an 8 in the following ways
3 - 5
5 - 3
4 - 4
6 - 2
2 - 6
That's 5 ways that it can be done. There are a total of 36 ways to throw 2 dice.
The probability of getting an 8 is 5/36
Plz HELPPPPPPP!!!!!!!!!!
Do you what explanation?
Help help help me please
Answer:
6x - 4
Step-by-step explanation:
Cross out the 3 in the denominator and the 9, which simplifies to 2 times 3x, which is 6x. For the second part, cross out 3 in the denominator and -6, which becomes 2 times (-2), which is -4.
−2/5×5/9 if you may please help i would appreciate i deeply
'
Answer:
[tex] \frac{ - 2}{5} \times \frac{5}{9} \\ \frac{ - 2 \times 5}{5 \times 9} \\ \frac{ - 10}{45} \\by \: diving \: both \: numbers \: by \: five \: we \: get \\ \frac{ - 2}{9} [/tex]
I hope it helped U
stay safe stay happy
Answer: - 2/9
Alternative Answer: 0.222222222 (Repeated)
Step-by-step explanation:
- 2/5 x 5/9
Reduce the numbers with the greatest common factor 5
- 2 x 1/9
Simplify and calculate the product
- 2/9 or - 0.2222222 (Repeated)
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Can somebody please help me?
Answer:
Second option,domain: negative infinity, 4 and range, negative infinity, 3
The domain are all the x's that you can input into a function. It looks like the function goes to all x's from negative infinity until it hits positive 4. that's why it is -infinity, 4 for the domain.
The range is all the y's that are outputted. As you can see, the function goes to all y's from negative infinity to 3.
Step-by-step explanation:
A recipe for cookies uses sugar and baking powder. The recipe uses uses 3/4 cups of sugar and 1/2 teaspoon of baking powder
Answer:
5/4 or 1 . 1/4
Step-by-step explanation:
3/4 + 1/2 = 5/4 or 1 . 1/4
Lee started the week with the balance of -$120 in his checking account . He then deposited some money into the account . The ending balance is -$110 how much did lee deposit
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]
[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]
[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]
[tex] \hookrightarrow \: y = 6x + 1[/tex]
hence, measure of the third side is 6x + 1
Expand [tex](x-\frac{1}{x})^{1\\2}[/tex] , simplifying the coefficients
the right answer is [tex]x^{5}-5x^{3}+10x-\frac{10}{x} +\frac{5}{x^{3} }-\frac{1}{x^{5} }[/tex]
but i can't work it out
PLEASE HELP!
Answer:
Step-by-step explanation:
In reality it is : [tex](x-\frac{1}{x} )^5\\[/tex]
[tex]Pascal'sTriangle\\\\\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\\\end{array}\\\\\\(x-\frac{1}{x} )^5\\\\=x^5+5*x^4*\frac{1}{x} *(-1)+10*x^3*\frac{1}{x^3}*(-1)+5*x*\frac{1}{x^4} +\frac{1}{x^5} *(-1)\\\\\\\boxed{(x-\frac{1}{x} )^5=x^5-5x^3+10x-\frac{10}{x} +\frac{5}{x^3} -\frac{1}{x^5} }[/tex]
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 10 times t squared plus 50 times t end quantity over the quantity t squared plus 4 times t plus 3 end quantity comma where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points) Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.
The domain of the function is [tex]t \ge 0[/tex] The greatest concentration of the medication is 5mg/LGiven that:
[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]
(a): The domain of the function
Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.
t, cannot take negative values (i.e. it is not possible to have a negative time).
The least possible value of t is 0
So, the domain of the function based on the context is:
[tex]t \ge 0[/tex]
(b) The greatest concentration of the medication
From the graph (see attachment), the maximum y-value is 5.
Hence, the greatest concentration of the medication is 5 mg/L
Read more about functions and graphs at:
https://brainly.com/question/18806107
A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.
B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.
Learn more about Function:
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Kareem is putting 8 books in a row on his bookshelf. He will put one of the books, Pride and Prejudice, in the first spot. He will put another of the books, Little Women, in the last spot. In how many ways can he put the books on the shelf
Answer:
720
Step-by-step explanation:
He has 8 books. He knows the placement of 2... so
8 - 2 = 6
To find the total... 6!
6*5*4*3*2*1 = 720
The required number of the ways the book is arranged on the shelf is 720 ways.
Given that,
Kareem is putting 8 books in a row on his bookshelf. He will put one of the books, Pride, and Prejudice, in the first spot. He will put another of the books, Little Women, in the last spot. In how many ways can he put the books on the shelf is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
There are 8 books to be arranged, 1st and last place is fixed,
now remaining books = 8 - 2 = 6
now, a number of combinations can be formed with the number 6,
= 6!
= 6×5×4×3×2×1
= 720
Thus, the required number of the ways the book is arranged on the shelf is 720 ways.
Learn more about permutations and combinations here:
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a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x
Answer:
∠x = 78
Step-by-step explanation:
∠y + ∠1 = 180
=> 125 + ∠1 = 180
=> ∠1 = 180 - 125
=> ∠1 = 55
∠z + ∠2 = 360
=> 313 + ∠2 = 360
=> ∠2 = 360-313
=> ∠2 = 47
∠1 + ∠2 + ∠x = 180
=> 55 + 47 + ∠x = 180
=> ∠x = 180 - 55 - 47
=> ∠x = 78
Answer:
[tex]x=78[/tex]
Step-by-step explanation:
Skills needed: Exterior Angle Theorem, Triangle Geometry:
1) We need to solve for [tex]x[/tex] and there are 2 methods to do it. I will go over the fastest way (since it's better).
This involves the exterior angle theorem (see the image attached to see how that works.2) In order to use this theorem, we need to solve for the angle near [tex]z[/tex]. This angle would be [tex]360-z[/tex], which is [tex]360-313[/tex] (since [tex]z=313[/tex]).
[tex]360-313[/tex] = [tex]47[/tex]
3) Then, we can use the fact that [tex]y=x+47[/tex] (47 is the measure of the angle we just solved for.)
[tex]y=125[/tex], so [tex]125=x+47[/tex]
Subtract 47 from both sides, and get [tex]x=78[/tex]
Hope you understood and have a nice day! :D
Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
Answer:
44
Step-by-step explanation:
4×(2)×4-2×(7)×2+40=?
8×4-14×2+40=?
32-28+40=
=44
Solve for p.
8 − 4(2p − 2) = 7 + p + 9
p =
Answer:
p = 0
Step-by-step explanation:
[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]
➡️ [tex]8 - 8p + 8 = 16 + p[/tex]
➡️ [tex]16 - 8p = 16 + p[/tex]
➡️ [tex] - 8p = p[/tex]
➡️ [tex] - 8p - p = 0[/tex]
➡️ [tex] - 9p = 0[/tex]
➡️ [tex]p = 0[/tex]
What time is shown on the clock
Answer:
9:18
Hope this helps <3
How many dollars does 3 bottles of water cost ?
Answer:
$7.5
Step-by-step explanation:
if we set up the proportion [tex]\frac{10}{4} =\frac{x}{3}[/tex] with cost on top and water bottles on bottom, we can divide 10/4 too get 2.5, which we can then multiply by 3 to get our x value, 7.5.
Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3
Answer:
y - 4 = 1/3 (x - 3)
Step-by-step explanation:
4. Explain the difference between (-5)² and - 5² PLZ HELP !!!!!!!!!!
Answer:
Step-by-step explanation:
(-5)² = (-5) * (-5) = 25
Here Take square for (-5)
- 5² = - 5 * 5 = - 25
Here take square for 5
What form of deductive reasoning is used in the given argument?
If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.
A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample
Answer:
C.
law of contrapositive
Answer:
law of contrapositive
Step-by-step explanation:
the difference between 2 numbers is 12. the larger number is 3 times the smaller. what are the numbers
Step-by-step explanation:
hope it helps you check it if there is a mistake sorry!! for that
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
What multiplied by 15 equals 750?
Answer:
50
Step-by-step explanation:
Need help with 11 and 10
Answer:
10: a
11: c
Step-by-step explanation:
10. Use the midpoint formula
[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5
11. 7 + 4 + 4 = 15
(add two fours because N is the midpoint)
What is the solution to the equation?
5 = 2/5a
A. 2
B. 4 3/5
C. 12 1/2
D. 25
Answer:
3 rd OptionStep-by-step explanation:
[tex]5 = \frac{2}{5} a[/tex]
=> 5 × 5 = 2a
=> 25 = 2a
[tex] = > \frac{25}{2} = a[/tex]
[tex] = > a = 12 \frac{1}{2} (ans)[/tex]
Find all real solutions to w^2-10w+1
In simplest form
Answer:
you can solve it using quadratic formula
w=5-2 √6 or w=5+ 2√6