Find power, exponential, and linear equations that go through the two points (1,0.5) and (4, 32). Enter the exact answers. The linear equation is y (x) = ?Edit The exponential equation is y (x) = Edit The equation of the power function is y (x) =| Edit

Q: write the equation for a line form, y=mx+b for a line that passes through the points (2,8) and (10,-...

A: Obtain the slope of the line that passes through the points (2,8) and (10,–4) as follows.

Q: What lump sum do parents need to deposit in an account earning 5%, compounded monthly, so that it wi...

A: The compound interest formula is

Q: For the quadratic function f(x)=x^2+4x, answer part (a) below (2) What​ is/are the​ x-intercept(s)?

A: Consider the given function.

Q: Use the method of corners to solve the linear programming problem. Find the maximum and minimum of  ...

A: THE METHOD OF CORNERS:Graph the feasible set (region), S. Find the EXACT coordinates of all vertices...

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions...

A:

Q: I need help with number 56

A: As per our policy I am going to solve only first 3-subparts and for the remaining subparts post the ...

Q: Let P= (2,3) and Q= (4,6). Find the slope of the line containing P and Q?

A: Formula:

Q: which of the functions are linear? Explain your reasoning.  f(x)=x2+2x-3      g(x)=3x+8     h(x)=4

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A 16 e .000121 describes t...

A: An artifact originally had 18 grams of carbon-14 present. The decay model A= 16 e-0.000121t descnbes...

Q: For f(x) = x - 2 and g (x) = 2x2 - 3x - 2, state the domain of  h(x) = f(x)/g(x). Write your answer ...

A: h(x)=f(x)/g(x)Denominator can not be zero. So we try to factor the denominator.

Q: Analyze the polynomial function f(x)=6x(x^2-9)(x+5) The graph of f behaves like y__? for large value...

A: Consider the given function.

Q: Solve inequalities: X4-21x2-100 greater than 0 2x÷ x2-6x+5 less than or equal to 0

A: Refer to the question we need to solve (1) X4-21x2-100 greater than 0 and (2) 2x÷ x2-6x+5 less than ...

Q: Solve the system by the elimination method -5x+3y= 1.2 -4x+6y= 4.2

A: The given system of equations is,

Q: factor x3+x2-3

A:

Q: SU into th MATH 1314 Coll MATH 1316 МАTH Offi Solve the inequality. Write the solution set in interv...

A: Given inequality is 

Q: If $2000 is invested at 10% compounded continuously, the future value S at any time t (in years) is ...

A: Refer to the question, we need to calculate the future value S at any time t (in years) from the pro...

Q: how do i find the vertex with the axis of symmetry? f(x)=(x-4)^2-9   that is (x-4) squared..

A: Given:

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: For number 42 is my answer negative  y equals seven or is it positive Y equals -7 also on # 32 is my...

A: Simplify the equation to solve for c 

Q: The exponential models describe the population of the indicated country, A, in millions, t years aft...

A: Given:The exponential model that describe the population of different countries:

Q: 21.

A: f(x) has degree = 5 (because highest exponent is 5)5 is odd .So f(x) has odd degree.

Q: I was given the solution to 63 = 28-5(x-3) as -4 but I can't seem to figure out that solution for my...

A: The given equation is,

Q: Question Graph the equation z +4y= -6 by plotting points. Sorry, that's incorrect. Try again? 6 3

A: Given:

Q: Factor out a negative real number from the polynomial and then write the polynomial factor in standa...

A: GCF of -4x^2-8x+20 is -4.

Q: How do I solve for A in (4-Ax3=7-Ax6)

A: Add Ax^6 to both sides. 

Q: Factor: ​f(x) = 2x^2 +​ (-5 - 2​i) x^2 +​ (-4 - i) x + (3 + i​) into linear factors if "3+i" is a ze...

A: We will use synthetic division to find the other factor. Quotient = 2x^2+x-1 and remainder = 0 

Q: write the rational exrpession in lowest term. y2-2y-15/y2-6y-27

A: Consider the given expression

Q: Number 26 and here are the directions

A: Given,

Q: Find all zeros of: f(x)=x3+8x2+25x+26

A:

Q: Given 1+5i, 1-5i, and -2 are zeros of a function, find the function f(x). (Let the leading coefficie...

A: The given zeros of a function are 1+5i, 1–5i and –2.

Q: Simplify the difference quotient f(x) = x2 + 1

A: To determine the difference quotient of given function.

Q: determine wether the binomial is a factor of f(x).  f(x) = 2x3-13x2-38x+112; x+2

A: The given function and binomial are

Q: How many gallons of 25% alcohol solution and 45% solution must be mixed together to get 7 gallons of...

A: To determine the gallons of 25% alcohol solution and gallons of 45% alcohol solution must be mixed-t...

Q: [Consumers Mathematics: Accumulation Factor Method] As a 50th birthday present to his wife , a husba...

A: Given that at 50th birthday present to his wife , a husband deposited P 16800 in her account in inve...

Q: Graph the solution set for the system of linear inequalities x>-3 y>-4

A: Given:

Q: write the rational expression in lowest term. a2-49/a2+9a+14

A:

Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does...

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a loo...

Q: Find the greatest common factor  14x2,1,7x4

A: To find the factor of the highest degree that divides ALL the three given algebraic expressions

Q: I do not understand the syntax in the image. Does the answer mean, the domain is all real numbers ex...

A:

Q: Question Find the slope of the line shown below. -5 0 -5 Provide your answer below: m BFEEDBACK MORE...

A: The line passes through (1,5),(0,2) 

Q: Lashonda took out a $6000 loan for 5 months and was charged simple interest. The total interest she ...

A: Formula:

Q: Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ...

A:

Q: The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to ei...

A: Laura needs to burn per day calories is 500.She burn 25 calories per minAnd 10 calories burn while b...

Q: Graph the solution set for the linear inequalities  x+y>6 2x-y<6

A: Draw the line equations as shown below.

Q: plot the intercepts to the graph of the equation. 2x-8y=8

A: Given information:

Q: Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive conte...

A: Let it was t years ago. And let there was x unit initially. So now there will be 23% of x= 0.23x uni...

Q: The height h, in feet, of a ball above the ground t seconds after being thrown upward with a velocit...

A: If the ball be 34 ft above the ground then h=34We plug h=34 and solve for t.

Q: Evaluate each logarithm by using properties of logarithms and the following facts logg(x) 3.2 log2(y...

A: Given that

Q: Factor by using the appropriate substitution. 3(x-8)2 -5(x-8)-2

A: Consider the given expression:

Q: Use the relationship between rise and run to find the slope of a line from its graph Question Find t...

A: Consider the given graph, the line passing through the points (–1, 4) and (–5, –3).