Graphx=0

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is, 

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A:

Q: The monthly rent of a 80 square meter apartment in Monte Carlo is 1150 euros. The monthly rent on a ...

A: Consider that apartment in monte carlo cost 1150Euros for each 80m2.If apartment in Santa Fe, New me...

Q: what is 2-5

A: In this question we have to explain what the value is of 2 - 5

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a distance, rate, time problem using a system of linea......

A: Let speed of the boat is x and the speed of the current is y.

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is  

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: How do you solve the polynomial inequality x4 + 36 ≤ 13x2

A: The given polynomial inequality is x^4+36≤-13x^2.

Q: Use a graphing utility to obtain a complete graph for the polynomial function. Then determine the nu...

A: Answer: Option A graph matched. 

Q: Factor completely 128b^3+ 54=

A: Here, we take 2 common from both the terms and express the given expression in form of a^3+b^3. and ...

Q: Step by step explanation how to solve this problem.

A:

Q: X2-x-4=0

A: Given,  

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, ...

A: Consider the provided function.

Q: List all values of x for which the rational expression is undefined 12/-3x

A: To calculate the all possible value of x for which the rational expression 12/(-3x) undefined. Now, ...

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of  f. g(x)=(...

A: The parent function f(x)=x3

Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: explores the ideas of addition and Let's put these ideas together. Simplify each expression. a. 4x.4...

A: a)Here , we multiply, constants separately  and variables separately, and use result ( x^m )(x^n)=x^...

Q: This Question: 1 pt th 25 of 30 (4 complete) Find f(g(x)) and g(fx)) and determine whether the pair ...

A:          Given,

Q: Find an equation of the circle that has center , 2−5 and passes through , 6−1 .

A: Given information:The center of the circle is (-2,5).The point passing through the circle is (-6,1).

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a singl...

A: We first use the exponent rule of logarithm. Coefficients become exponents.

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: The given function is,

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve ...

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the r...

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: The given system of equation is,

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.

A: The expression is given by,

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm. 

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

Q: Simplify (-2y^4)^2(-2x^3y^2z)^3

A: To simplify (-2y^4)^2(-2x^3y^2z)^3.

Q: Add (0.04x5-0.4x2+x+0.07)+ (-0.03x5+x3-0.8x-005)

A: Firstly, we remove the brackets , and then we collect the like terms and solve.

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let you have to sell x glasses. Each glass costs $0.50. So x glasses cost $0.50x.

Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

Q: Solve the following exponential equation by expressing each side as a power of the same base and the...

A: We first write 64= 4^3 and 1/sqrt(4)=4^(-1/2)

Q: The parent function f(x)= x3 is related to g. Use function notation to write g in terms of  f.   g(x...

A: The parent function is given by,

Q: #1

A: The given pair of equation are 2x +5y = 4  and 4x +10y = 1.

Q: Find the domain of the function. 15 -ズー12 What is the domain of f? O A. (-000)U(0,c0) O B. (-cqo0) O...

A: Given,

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

A: The given sales function is P ( x ) =1.85(x–1998)+4.

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

Q: Determine algebraically whether f and g are inverse functions.  f(x) = 5x - 3          g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: 8÷2(2+)

A: To simplify the expression, the PEMDAS rule is used.PEMDAS stands for Parenthesis, Exponents, Multip...

Q: Please answer the attached question. Thanks a lot

A: (a)Let T(x) represents the amount of tritium remaining in grams after x years and T(0) represents th...

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Paul Graphing an exponential function and its aymptote: f(x)...

A: Given function is: For the given function when x = -2 For the given function when x = -1 For the giv...

Q: For # 37 #37) points (-7, 4) and (0, -8)

A: In this question we have the two points (-7,4) and (0, -8)We need to find the equation in slope inte...

Q: Word Problems: 1) The Golden Gate Bridge in San Francisco is 2604 feet longer than the Brooklyn Brid...

A: 1.Let the height of Brooklyn bridge be x.Let the height of Golden Gate bridge be y.

Q: #98

A: Consider the provided formula.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: We first use division property of logarithm. 

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.