Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1182205: If cosθ=−1/4, then the angle θ is likely to be found in _______
quadrant II or III
quadrant I or IV
quadrant II
quadrant III

Click here to see answer by MathLover1(20849) About Me 

Question 1182204: Which of the following values of x is a solution to the equation sinx + cos x=1?
x=45°
x=90°
x=135°
x=180°

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Question 1182204: Which of the following values of x is a solution to the equation sinx + cos x=1?
x=45°
x=90°
x=135°
x=180°

Click here to see answer by ikleyn(52750) About Me 

Question 1182203: Which of the following values of x is a solution to the equation sinx + cos x=1?

x=45°
x=90°
x=135°
x=180°


Click here to see answer by MathLover1(20849) About Me 
Question 1182203: Which of the following values of x is a solution to the equation sinx + cos x=1?

x=45°
x=90°
x=135°
x=180°


Click here to see answer by ikleyn(52750) About Me 

Question 1182271: A ball is dropped from a height of 32 m. The ball bounces back 80 % of the distance it falls. To what height does the ball bounce after the 5th bounce? Round answers to one decimal place.
Click here to see answer by mananth(16946) About Me 
Question 1182271: A ball is dropped from a height of 32 m. The ball bounces back 80 % of the distance it falls. To what height does the ball bounce after the 5th bounce? Round answers to one decimal place.
Click here to see answer by ikleyn(52750) About Me 

Question 1182273: If f(x) = 1/4x+2 and g(x) = −3x^2+2, determine the value of -3 g(1) and f^-1 (1)
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1182270: Given 0≤θ≤360 and cos θ = −1/√2. There are two possible values of θ. State the first and second value of 0.
Click here to see answer by ikleyn(52750) About Me 

Question 1182313: Simplify using exponent rules. Write the answer with positive exponents only.
https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing

Click here to see answer by MathLover1(20849) About Me 
Question 1182313: Simplify using exponent rules. Write the answer with positive exponents only.
https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing

Click here to see answer by greenestamps(13195) About Me 

Question 1182316: Let g be a function such that g^-1 exists for all real numbers. Given that g(9) = 4, find f(g^-1(4)).
Click here to see answer by ikleyn(52750) About Me 

Question 1182315: Prove that (sin 0/1-cos 0) - (sin 0/1 + cos 0) = 2/tan0
Click here to see answer by greenestamps(13195) About Me 

Question 1182274: At this one coastal city, the tides vary greatly during the day. During May, the predicted height of the tides are 2.5 m at 4 AM, 17 m at 10 AM, 2.5 m at 4 PM and 17 m at 10 PM. Assume we start the graph at midnight. What is the height of the tide at 11 AM? Round to the nearest tenth.
Click here to see answer by greenestamps(13195) About Me 

Question 1182215: At this one coastal city, the tides vary greatly during the day. During May, the predicted height of the tides are 2.5 m at 4 AM, 17 m at 10 AM, 2.5 m at 4 PM and 17 m at 10 PM. Assume we start the graph at midnight. What is the height of the tide at 11 AM? Round to the nearest tenth.
Click here to see answer by greenestamps(13195) About Me 

Question 1182537: Kendra is having her breakfast on a balcony, 20m high when she accidentally knocks down a flower pot. A man, 10m away, is innocently walking along the street at a constant velocity of 4 m/s when the pot fell. Will the innocent man be hit by the pot or will he miraculously be able to avoid the impending accident? The man is 1.7m tall. Explain and prove your answer.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1182556: Please help, I am so confused on this topic
https://imgur.com/a/b0gMDFS

Click here to see answer by josgarithmetic(39613) About Me 

Question 1182587: what are the factors of x^2 - 9

Click here to see answer by MathLover1(20849) About Me 

Question 1182588: . Evaluate 2⁄3 × 1⁄4 ÷ 2 1⁄2 , giving your answer as a fraction in its lowest term.
Click here to see answer by Theo(13342) About Me 
Question 1182588: . Evaluate 2⁄3 × 1⁄4 ÷ 2 1⁄2 , giving your answer as a fraction in its lowest term.
Click here to see answer by greenestamps(13195) About Me 

Question 1182594: If the area of the rectangle is 24cm^2, calculate the dimension of the Rectangle
Click here to see answer by mananth(16946) About Me 
Question 1182594: If the area of the rectangle is 24cm^2, calculate the dimension of the Rectangle
Click here to see answer by ikleyn(52750) About Me 

Question 1182595: Write an expression in the form of ax^2 + bx + c for the area of a rectangle that is 52
Click here to see answer by mananth(16946) About Me 
Question 1182595: Write an expression in the form of ax^2 + bx + c for the area of a rectangle that is 52
Click here to see answer by ikleyn(52750) About Me 

Question 1182837: I need some help on this real-world function please
https://imgur.com/a/AlrGYPv

Click here to see answer by josgarithmetic(39613) About Me 
Question 1182837: I need some help on this real-world function please
https://imgur.com/a/AlrGYPv

Click here to see answer by MathLover1(20849) About Me 

Question 1182943: (a) The functions 𝑓 and 𝑔 are defined as follows.
𝑓(𝑥) = 3𝑥*2 where 𝑥 ∈ (−1, 1) and 𝑔(𝑥) = 𝑥 + 2, where 𝑥 ∈ (−1, 1).
i) Find 𝑅(𝑓) and 𝑅(𝑔).
ii) Draw the graphs of 𝑓 and 𝑔.
iii) Find 𝑓 ∘ 𝑔 and 𝑔 ∘ 𝑓.
iv) Show that 𝑓(𝑥) is not one to one function.

(b) The function ℎ is defined as ℎ(𝑥) = 3𝑥*2 where 𝑥 ∈ (−∞, 0].
i) Show that ℎ is a one to one function.
ii) Find the inverse function h-1 of ℎ.
iii) Show that,
(α) ℎ-1 ∘ ℎ(𝑥) = 𝑥, where 𝑥 ∈ (−∞, 0].
(β) ℎ ∘ ℎ−1(𝑥) = 𝑥, where 𝑥 ∈ [0, ∞).
(γ) Are the functions ℎ−1∘ ℎ and ℎ ∘ ℎ−1
the same? Explain your
answer.

Click here to see answer by ikleyn(52750) About Me 

Question 1182965: I need help on this function problem please!
https://imgur.com/a/xxfocRX

Click here to see answer by Boreal(15235) About Me 
Question 1182965: I need help on this function problem please!
https://imgur.com/a/xxfocRX

Click here to see answer by josgarithmetic(39613) About Me 

Question 1182916: A relation ⋆ is defined on z by x ⋆ y if and only if there exists k ϵ z such that y=x+5k .
Is ⋆ reflexive?
Is ⋆ symmetric?
Is ⋆ anti-symmetric?
Is ⋆ transitive?
Is ⋆ an equivalence relation, a partial order, both, or neither?
Thanks in advance!

Click here to see answer by ikleyn(52750) About Me 

Question 1183078: Please help me on this function question, I want to know how to solve it right.
https://imgur.com/a/9VRMno5

Click here to see answer by josgarithmetic(39613) About Me 

Question 1183080: Please help me on this https://imgur.com/a/gmt2gYG
Click here to see answer by josgarithmetic(39613) About Me 

Question 1183192: How is this done?
https://imgur.com/a/AmFDjoY

Click here to see answer by Solver92311(821) About Me 

Question 1183268: f(x) = 1-x / 1-x, which of the following set is not a possible domain for the given function?
A. {2,3,5}
B. {1,0,6}
C. {π, 2.17, 10}

Click here to see answer by MathLover1(20849) About Me 

Question 1183376: hello! I am completing a table and I just wanted to make sure I was doing this correctly!
𝑔(𝑥)=ln(𝑥−3)
x g(x)
4 0 I used the equations g(x)=ln(4-3)
6 1.099 g(x)=ln(6-3)
8 1.61 g(x)=ln(8-3)
10 1.95 g(x)=ln(10-3)
12 2.197 g(x)=ln(12-3)

Click here to see answer by MathLover1(20849) About Me 

Question 1183370: f(x) = x4 − 12x3 + 37x2 − 12x + 36
(a) Find all zeros of the function. (Enter your answers as a comma-separated list.)
x = I found this to be i,-i,6


(b) Write the polynomial as a product of linear factors.
f(x) =



(c) Use your factorization to determine the x-intercepts of the graph of the function. Use a graphing utility to verify that the real zeros are the only x-intercepts. (Enter your answers as a comma-separated list. If no x-intercepts exist, enter DNE.)
x =


Click here to see answer by Solver92311(821) About Me 

Question 1183371: f(x) = 25x3 − 80x2 − 74x − 24
(a) Use a graphing utility to find the real zeros of the function. (Enter your answers as a comma-separated list.)
x =



(b) Use the real zeros to find the exact values of the imaginary zeros. (Enter your answers as a comma-separated list.)
x =

Click here to see answer by Solver92311(821) About Me 

Question 1183390: given set Z(26) = {0,1,2,3,...25}
Let a and b be integers. Consider the function f: Z(26) -> Z(26) defined by f(x) = ax + b (mod 26).
a)Prove that f(x) = 3x + b is bijective for any b.
b) find all the values of a for which the function f is bijective.

Click here to see answer by ikleyn(52750) About Me 

Question 1183398: find the perimeter of rectangle whose length is 150m and diagonal is 170m
Click here to see answer by josgarithmetic(39613) About Me 
Question 1183398: find the perimeter of rectangle whose length is 150m and diagonal is 170m
Click here to see answer by ikleyn(52750) About Me 

Question 1183462: In a grocery store, a P250.00 case of soft drinks is labeled, "Get a 20% discount" What is the discount? What is sale price of the case of soft drinks?
Click here to see answer by ikleyn(52750) About Me 

Question 1183461: What interest rate is equivalent to an 11% discount rate in discounting amount for 3 years.
Click here to see answer by MathLover1(20849) About Me 

Question 1183460: Jezreel borrowed PHP250,000.00 from a bank at 6% discount rate. How much would be receive from the bank if he agreed to pay the amount after 5 years.
Click here to see answer by Theo(13342) About Me 

Question 1183517: If f(x)= 3x-5 and g(x)= 2-x², find (f+g)(5)
Click here to see answer by Theo(13342) About Me 
Question 1183517: If f(x)= 3x-5 and g(x)= 2-x², find (f+g)(5)
Click here to see answer by josgarithmetic(39613) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660