16,778 results

f(x)= a(x+4)(x+1)(x-2) Find a

Given that f(x)=g(x/3), describe how the graph of f and g are related?

the y-intercept of the graph of y=k(x-1)(x-2)(x-3) is 24 Determine the value of k.

The polynomial 2x^3+px^2-x+6 has a remainder of zero when divided by x-2. Calculate p.

Ok, I am going to grade 12 and my university requires a 90% for advanced functions. In grade 11, I got a 78% with no tutoring. Is there who is willing to help me free of cost for tutoring or even websites that would help me.

Determine the instantaneous rate of change of y=tanx at x=1 to 3 decimal places

Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...

One zero of f(x)=x^3+4x^2+x+c is -3. a) calculate the value of c. b)calculate the other zeros.

provide any 2 solutions for the equation y=cot(1/2(theta-pi/2))-5 solutions may be in degrees

Determine the vertical asymptotes of the graph of graph of y=secx/logx for x≤2pi

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9

A generator produces electrical power, P, in watts, according to the function: P(R)= 120/ (0.4 + R)^2 where R is the resistance, in ohms. Determine the intervals on which the power is increasing.

the height, h, in meters, of a gold ball t seconds after is is hit can be modelled by the function: h (t) = 4.9t^2 + 32t + 0.2. When is the height of the ball 15 m?

The length of a child's square-based jewelry box is 5cm more than its height. The box has a capacity of 500cm^3. Solve a polynomial equation to determine the dimensions of the box.

on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a) g(f(x)) b) when f(g(x))=g(f(x)) 2. If f = {(-10, 1), (-1, -1), (10, 0), (11, 7)} and g = {(-1, -1), (0, 10), (1, -10), (7, 11)} for how many values of x is f x g defined? Explain 3. Given f(x) = -2x + 3 and g(x) = ...

2^2x+ 3(2^x) - 10 = 0 6^2x-2(6^x)-15=0 3^4^5^x =336

Solve: a) 1/(2^x) = 1/(x+2) b) 1/(2^x) > 1/(x^2)

Solve: (1/2^x) > (1/x^2)

How do you simplify (x^a+b)^a-b / (x^a-2b) ^ a+2b

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a)g(f(x)) b)when f(g(x))=g(f(x)) for #1 would the answer for a be x^2+2? 2. Given the functions f(x)=5x+7 and g(x)=√x state the domain of g(x) and g(f(x)) 3. Why is point (a,a) a point on f-1(f(x)) if (a,b) is a...

Solve for x, x ϵ R a) (x + 1)(x – 2)(x – 4)2 > 0

Solve algebraically: 4/2x-3 < 1/x+4

Salvador bought 3 pounds of oranges that cost x cents per pound, a cucumber for 59 cents, and 2 bananas for 35 cents. Write an expression in simplest form that represents the amount spent. I don't understand how you would write that into an equation. I don't think I should be ...

A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its daily costs. Find the inverse of the function and determine how many units are produced when the cost is \$625,000.

Prove that: csc^2x = 1 + cot^2x

Solve 2tan^2x + 1 = 0 Interval : [0, 2 pi]

what are the key features of x/(x^2-3x+2)?

what are the key features of x/(x^2-3x+2)?

h = 8 sin [π/10(t-5) ] + 9 covert to cosine??

4cos2x - cosx-3 =0 0 to 2pi

University
Will I get a conditional offer to McMaster in the first round? The following is the admission for Commerce I to McMaster: "Grade 12 U/M course requirements: * English U * Advanced Functions 4U * One of: Calculus & Vectors 4U or Mathematics of Data Management 4U (additional ...

The function C (t) = 0.16t/t^2 + t + 2 models the concentration, C, in milligrams per cubic centimetre, of a drug entering the bloodstream over time, t, in minutes. a) Sketch the graph of the relation. b) Explain the shape of the graph in the context of the concentration of ...

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

How do you write -1/9 x^-1 with a positive exponent? also, -5 x^-2 ??

Solve for x, x ϵ R ¨Cx3 + 25x ¡Ü 0

Solve the polynomial inequality algebraically. x^2-2x-8 ≤ 0

Prove that cscx / cosx = tanx + cotx

Solve the inequality 12x^3 + 8x^2 <= 3x + 2. Justify your answer.

The revenue and cost functions for the housing developer are: C(n) = 8 + 0.065n R(n) = 1.6 √n Suppose that the developer found a way to reduce her variable cost to \$58 000 per house. How would this affect: i) the minimum and maximum number of houses she could build? ii) ...

Determine the value of Tan2x when Sinx = -12/13 and 3pi/2 < x < 2pi.

1) -/-3/____ -3 //= what's the absulute value of. In the blank either put < or >! 2) In three plays, a football team gains 11 yd, loses 18 yd, and gamins 3 yd. Write and evaluate an addition expression to model the situation. [please explain how you got each question ...

Trig identity Prove: cos2x tan(pie/4 - x) ------- = 1 + sin2x

Identify the point of intersection of these two curves: P(t)=300(1.05)^t F(t)=1000(0.92)^t

simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.

If cos A= -6/7, in quadrant 2, determine the exact value of tan 2A I don't understand how to do this?

Find an equation with the given form in each case below. y=sin through(Ï/2, 0)

Find the area of a sector of a circle that has a central angle of 3π/8 and a radius of 7 cm.

Determine the equation for the vertical asymptotes, if they exist, for each function. Then, state the domain. f(x)= -1/x^2-7x+6

science
Are multi cellular organisma more advanced that unicellular organisma. Why or why not Mutlicellular organisms have cells that have specialized in various functions. Would you call that more advanced? Since this is not my area of expertise, I searched Google under the key words...

The maximum time, T, in minutes, a scuba diver can rise without stopping for decompression on the way to the surface is modeled by the equation T (d) = 525/d-10 , d > 10, where d is the depth of the dive in metres. a) sketch a graph of this relationship. b) use the graph to...

I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!

How do I verify this identity? (I've tried a lot but it's just not working) (sin2x + sin2y) = 2sin(x+y)cos(x-y)

Prove (sin4x)/(1-cos4x) = cotx - 1/2(cscxsecx) Please help me get started on this question... I'm at a lost as for what to do first....

Use the Pythagorean Identify to show that the double angle formula for cosine can be written as: cos2x = 2cos^2x - 1

Hello! Can someone please help me out for this question? The loudness, L, of a sound in decibels can be calculated using the formula L= 10 log(I/ F) where I is the intensity of the sound in watts per square metre and F= 10^ -12 . A singer is performing to a crowd. Determine ...

I need help with this problem (composite functions): If f(x) = 4x-3 and h(x )= 4x^2-21, find a function g such that f(g(x)) = h. I don't understand how we're supposed to combine the functions. Oh, and the answer is supposed to be g(x) = x^2 - (9/2). Thanks!

Determine approximate solutions for this equation in the interval x is all real numbers [0, 2pi), to the nearest hundredth of a radian: cosx + 0.75 = 0

solve for x, to the nearest degree, in the interval 0degres less than andequal to x greater than and equal to 360degrees. cos^2x=1 4cos^2x=1

If a bacteria population doubles in 7 days, when was it half of its present population?

Prove the identity: cos^4 x + sin^4 x = 1 - (1/2)sin^2 (2x)

Show that tanx = sinx / cosx can be written as tan(x+y) = (tanx + tany) / (1 - tanxtany)

Could someone help me with this question? 5^(2x) - 4^(5^x) = 12 I got up to log (5^x)= log(-4) but it isnt correct since it can't be negative.

What is the domain of the composite function of f(x)=x^2 and g(x)=sin x when (g o f)(x) and (f o g)(x)?? when i joined the two function it looks the same to me..

how do i solve this linear inequality equation x+2 divided by 2 greater than/equal to x-2 divided by 4 answer is [-10, infinity)

Calculus
We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...

assume the function f(x) and its inverse f-1(x) are both defined for xer. give a geometric interpretation of the composite function y=f(f-1(x))

Prove that: 2sinxsiny = cos(x-y) - cos(x+y)

Determine the solutions for: (cos x)/(1 + sinx) + (1 + sinx)/(cosx) = 2 in the interval x is all real numbers, such that [-2 pi, 2pi]

Determine all solutions in the interval x is all real numbers , [0, 2 pi] using a trigonometric identify 2cos^2x + sinx - 1 = 0

The earth rotates on its axis once every 24 hours. How long does it take Earth to rotate through an angle of 4(pi)/3?

Hello I'm stuck with these two questions The point (1,-2) is on the graph of . Describe the following transformations on , and determine the resulting point. a) g(x)=f(x+1)-3 b) -f(2x)

Math
A fertilizer covers 5/8 square foot in 1/4 hour. i don't understand how to work out this math problem. By the way i'm in 6th grade but technically doing advanced math so i'm doing 7th grade math. I don't know how to do this

A rectangle has perimeter 64cm and area 23cm squared. Solve the following system of equations to find the rectangle's dimensions. l=(23/w) l+w=32

Use the Pythagorean identity to show that the double angle formula for cosine can be written as a) cos2x = 1 - 2sin^2x b) cos2x = 2cos^2x - 1

An investment pays 8% interest, compounded annualy. Write an ewuatiin that expressed the amount A, of the investment as a function of time, t, in years

I am having trouble figuring out how to solve this logarithms. Could someone please help! log2(log4x)=1 and solve for x and y: (1/2)^x+y= 16 logx-y8=-3

who knows the answer to 2*2604(52/9)/7*43+62/56

A generator produces electrical power, P, in watts, according to the function P(R)=(120R)/(0.4+R)^2, where R is the resistance, in ohms. Determine the intervals on which the power is increasing.

I need help figuring this question out please :) log2=log(x+5)-1 I have been studying for my test and this is a question i got stuck on.

Determine an expression using trigonometric ratios of special angles that simplifies to an answer of sqrt3/2. Use three different angles.

im in advanced math so i do 8th grade math and i don't understand how too gragh the fractions in equations like y=2/3x+1

What is the sample space of expiremental probibility

Math
So I have a question regarding advanced functions, logarithm stuff. here is the question: Beginning with the function f(x) = log[base(a)]x ,state what transformations were used on this to obtain the functions given below: a) p(x) = -(5/8) log [base(a)]x b) r(x) = log[base(a)](...

math
Are trigonometric functions taught in 11th grade, if so ,is it wrong that i wasn't tought that topic in 11th grade????plz help!!!!

Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.

im not sure wheer to start and how to do solve this problem solve: cosX(2sinX-3^1/2)=0 ,0<(or equal to)X<(or equal to)2(pie sign)

if a car is moving at some speed and then goes twice as far, would the braking distance be twice as far? yes or no? explain

If every function has "negative odd end behaviour" an "odd" function? Explain our answer, illustrating it with an example.

Consider the trig equation: 4sinxcos2x + 4cosxsin2x - 1 = 0 in the Interval [0, 2 pi] Either show that there is no solution to the equation in this domain, or determine the smallest possible solution.

Math
Can someone please help me with piecewise functions. I know what they are but when it gets to advanced i have ttrouble. s(x)= /x-2/ + /x-3/ + /x+1/ (/ / = 'modulus') Write as a piecewise defined function. Have no idea tbh. Thanks

What are the restrictions on the variable x in the following equation? Why do these restrictions exist? log(x-2)-log(3x-5)=5 Thanks for your help :-)

in paper pool, what is a basic table and what are two family tables?

What are some of the accomplishments of the Olmecs, Mayan? Why are they considered to be advanced communities?

Marko rides 10 km north of his home on his mountain bike. He reaches an abandoned railroad, turns through an angle of 120° onto the railroad, and then rides another 20 km.

what is the technical element to write to be advanced?

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