Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
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I must speak in your language
ddddwfdwfd qdqfqfqqdqdqdqddqdqdq
[tex]f(x)=\frac{2x}{x-1}[/tex]
[tex]f(a); f(a+h); \frac{f(a+h)-f(a)}{h}[/tex]
Translate the blue shape to the pink shape...
help me quick please
Answer:
I can't help you if there's no picture lol
3. What is the function of a Golgi complex? What
is the function of the endoplasmic reticulum?
Answer:
Step-by-step explanation:
Gogli complexes packages proteins, while endoplasmic reticulums transport proteins made by the gogli complexes around the cell.
Please solve... I will mark you brainliest
Answer:
x = 5
Step-by-step explanation:
[tex]6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5[/tex]
65% of 51. Please also show me how to do it because I can't.
Answer:
Step-by-step explanation:
65% of 51 = [tex]\dfrac{65}{100}*51[/tex]
= 0.65 *51
= 33.15
The formula 1/2 bh finds the area of what shape?
The formula ½ bh finds the area of a triangle.
Please check the picture.
Answer:
Triangle
Step-by-step explanation:
b - base of the triangle
h - height or altitude
If you were to solve the following system of equations by using a matrix,
which of the following would be your coefficient matrix?
4x – 3y=7
x + 5y=13
Answer:
I believe it is C but it's good to double check
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
3 sss, aas, sas, or not enough information
Answer:
AAS
Step-by-step explanation:
I'm pretty sure its this, but im sorry if im wrong!
Solve for a. -16-7a=5
Answer:
A = -3
Step-by-step explanation:
-16-7(-3)=5
helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
a) = 4.198
b) = 4.146
Step-by-step explanation:
a) 15.444/6+0.232*7
do pemdas
=15.444/6+(0.232*7)
=(15.444/6)+1.624
=2.574+1.624
a) = 4.198
b) (1.709+0.364)*6/3
pemdas again
=(2.073) *6 / 3
=12.438 / 3
b) =4.146
Hope this helps :)
Answer:
A 4.198 and b is 2.073
Step-by-step explanation:
i hope this is right
[tex]Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)}} \\ [/tex]
Solve this problem please..
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the given expression.
[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]
If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]
We know that:
[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]
[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]
Therefore, the expression becomes:
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]
[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]
[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \rm = \sec(x) - \tan(x) [/tex]
[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]
see the attachment!!
hope it helps
#carryolearning
Anna challenges Sarah to a game where Sarah flips a fair coin and then randomly chooses a card from a small deck of cards that includes only 111 jack, 111 queen, 111 king, and 111 ace.The only way Sarah can win is by flipping heads and then choosing either the jack or the queen.If XXX is a random variable that represents Sarah's outcome, drag the bars to graph the probability distribution for all possible values of XXX.
The probability distribution for all possible values of X are given in the discrete probability table ;
X : ____ winning ____ not winning P(X) : ____ 0.25 ________ 0.75Fair coin = {H, T}
card = {J, Q, K, A}
Sample space :
__ H ___ TJ | HJ __ TJQ| HQ __TQK| HK __ TKA| HA __ TATotal possible outcomes = sample space = 8 Winning selection = {HJ, HQ}Probability of winning ; P(Winning) = 2/8 = 1/4 = 0.25
Probability of not winning ;
1 - P(wininng) = 1 - 1/4 = 3/4 = 0.75
X : ____ winning ____ not winning
P(X) : ____ 0.25 ________ 0.75
Learn more : https://brainly.com/question/25274933
Find the unit rate for this situation. Please DO NOT use any extra spaces or
symbols. Simply type in the number amount.
13. A bakery is having a buy 4, get 1 free sale on cakes. This sale is eguivalent to what percentage off the regular price of all 5 cakes? A. 196 B. 10%% C. 20 D. 25%6 E. 40%
Answer: 20
Step-by-step explanation:
Winter fills 2/5 of a water bottle in 1/4
of a minute. How many bottles can
Winter fill in 1 minute?
Answer:
1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)
Step-by-step explanation:
If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5
Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
Will give Brainliest :)
Answer:
7.5m
:) hoped this helped!
Step-by-step explanation:
What is the number if 4 is subtracted from sum of 1 fourth of 5 times of 8 and 10
Answer:
Answer:18.5
Step-by-step explanation:
10+8=18
18*5=90
90/4
22.5-4=18.5
Have a happy day! <3Miss Hawaii
Answer:
16
Step-by-step explanation:
sum of 8 and 10=18
5 times of sum of 8 and
10= 18×5=80
1/4 of 5 times of sum of 8 and
10= 1/4×80=20
and then subtracted 4 from
20 =20-4=16
The diagram below a triangle PQR on a Cartesian plane. Given the distance a Q from origin is 6 units
If the gradient of straight line PQ is 4/3 calculate y-intercept
⸻➤[tex]{\pink{\tt{Mixedfarming}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\sf\red{hope\:it\:helps\:you}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]
[tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b}
7 times a number plus 3 is 38. find the number
Answer:
5
Step-by-step explanation:
7 x 5 = 35
35 + 3 = 38
neeeeeeed heeeeeelp pleaseeeeeeeee
Answer:
D
Step-by-step explanation:
Hope this is correct and helps
Answer:
D
Step-by-step explanation:
I'm not completely sure but A is constant cuz it don't move B is increasing C is same as A and D Is decreased
Please Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
2y-2x= -14
Answer:
y = x-7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -2x = -14
Add 2x to each side
2y-2x+2x= 2x-14
2y = 2x-14
Divide by 2
2y/2 = 2x/2 -14/2
y = x-7
 Use trigonometric identities to solve each equation within the given domain
sec(x) cos(3x) = 0 from [- x /2 , x /2]
Answer:
Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].
Step-by-step explanation:
Angle sum identity for cosine:
[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].
Double-angle identity for cosine and sine:
[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].
[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].
The secant of an angle is the inverse reciprocal of the cosine of that angle:
[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].
Apply these identities to rewrite the left-hand side of the equation.
[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].
Solve the rewritten equation:
[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].
Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].
The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].
If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].
Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],
Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.
(a) 85% of 80 is what number?
(b) 21 is 35% of what?
Answer:
a) 68
b)60
Step-by-step explanation:
a) 85% = 0.85
0.85 * 80 = 68
b) let x be the unknown number.
35% = 0.35
0.35x = 21
x = 60
Answer:
Step-by-step explanation:
a, 85% of 80
85% of 80
= 85/100*80
=85/100*80
=0.85*80
=68.
b, 21 is 35%
21 is 35%
=21*35/100
=21*0.35
=7.35.
hope this helps you dear and have a nice day
Simplify the following to standard form
1.(9x+7y+8z)+(2x+ -4y+7z)
2. (5x +10y+ -8z) - (2x+ -2y + -3z)
Answer:
1, 11x + 3y + 15z
2, 3x + 12y + -5z
Step-by-step explanation:
all you need to do is combined the like terms and make sure the signs (positive and negative signs) are right
the sum of two numbers is 21 the second number is six times the first one
Answer:
18+3
Step-by-step explanation:
3x6= 18
and 18+3=21
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answer:
We need the options
Step-by-step explanation:
...
Raise the fraction to its highest terms by supplying the missing numerator.7/8=?/240
The required simplified value of the given expression is 210
As mentioned in the question,
To raise the fraction to its highest terms by supplying the missing numerator.7/8=x/240.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
according to the question,
7 / 8 = x / 240
x = 7/8 × 240
x = 7 × 30
x = 210
Thus, the required simplified value of the given expression is 210.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
plz help asap
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not?
Answer:
5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one
Step-by-step explanation:
5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34
Answer:
5x+2x= 7x....
Step-by-step explanation:
There is no value that would make them equal. If u subsitute x by 1, 2, 3 you get 7, 14, 21. When u substitute for 7x-1, all the values are 1 less than 7, 14, 21.
major help.......................
Answer: C. 85°
Step-by-step explanation:
Answer:
I look lik dis almost dreads and then them types of braces and my eye brows look like that and I got a tattoo on my face but my eyes are blue and I have contacts so no more glasses