136,733 results

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

Using rational functions solve 7+ (1)/x = 1/(x-2)

Using rational functions solve (7+ 1)/x = 1/(x-2)

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59m. What obtuse angle does the tower make with the ground?

I am stuck on this one part of this question: The function S(d)=93(logd)+65 relates the speed of the wind S, in miles per hours, near the centre of a tornado to the distance that the tornado travels,d,in miles. If a tornado has sustained winds of about 250 mph, estimate the ...

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 ...

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.

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

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

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

use the asymptotes and intercepts to make a quick sketch of the function f(x)= x-2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x-2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c) determine the intervals of ...

use the asymptotes and intercepts to make a quick sketch of the function f(x)= x-2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x-2 (denominator) on the same set of axes. b) describe the symmetry in the graphs in part a) c) determine the intervals of ...

write an equation for a rational function whose graph has all of the indicated features: -vertical asymptote with equation x=3 -horizontal asymptote with equation y=2 -hole at x=1 no x intercept thank you

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) = ...

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

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

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

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

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

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

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

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

gr12 math

how do you know which face is the base of a triangular prism?

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

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.

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.

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.

math

How do I create a game with a 55percent chance of winning for Gr12 data management

math

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

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...

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

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

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

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)](...

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)

statistics

Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and ...

Math

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

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

statistics

Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and ...

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

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

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..

Math

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...

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...

Functions in Math

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.

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

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)

Given the equation y=2^x, predict the equation for the graph that has been reflected in the y-axis. Given a vertical stretch by a factor of 5, translated 2 units right and 5 units down

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

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.

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.

Math

Problem 3) Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their ...

Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

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 ...

personal

Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and ...

statistic

Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and ...

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.

statistics

Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and ...