1) Select the equation that represents the function given in the table below a) y = 1.50x -10 1 5.50 7.00 b) y = -2x + 10 8.50 c) y = 1.5x +4

Q: 59. Express the area of an equilateral triangle as a function of the length of a side.

A:

Q: Express the function (or rule) in words.

A: We have to express the function in words: gx=x+23 Writing part wise, If function is gx=x+2 Then we…

Q: Find an equation for the graph sketched below: 7- 4 -5 -4 -3 -2 2 3 -2 -3 -4 -5 -7- -8나 f(x) = 2.

A: Draw the graph

Q: Find the length of the curve of the graph of the indicated function. y = 4x3/2, between points (1,4)…

A:

Q: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

A:

Q: Given the first four coordinates (-4, 3), (5,7), (6, -7), (3, 4), what can be the domain of the…

A:

Q: Match the function with its graph. y = 5(x + 2) - 4 5- -4 -6 -5 4 -3 -2 1 4 6 -6 -5 -4 - -2 -6 -5 4…

A:

Q: What are x-intercepts of the function, -2(x – 6) + 3 = y O (-7.225, 0) and (-4.775, 0) O (-69,0) O…

A: For the x intercept,

Q: 2 3 4/56 7 8 10

A: To determine the period of the given function Period: It is represented as “T”. A period is a…

Q: To graph the sum of two functions y = y 1 + y 2 , at each point add the ___-coordinate from the…

A: To graph the sum of two functions y = y 1 + y 2 , at each point add the x-coordinate from the point…

Q: 3. Use the graph below to fill in the missing values. 4 2 fx) f(0) f(z) = 0 z = (0) =

A:

Q: +1. 2. Write down the x-intercept and y-intercept of the function y =

A:

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: What are the minimum and maximum values of the function y=3sin3/4(x+2π/3)-5

A: The given function is y=3sin34x+2π3-5. It is known that the sine function attains its maximum value…

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: Determine the function ƒ represented by the graph of the line y = ƒ1x2 in the figure.

A: given: the graph of the function y=f(x). the given points are: (0,-1) and  (3,-3).

Q: What is the range for the function h(x) = (x – 3)² + 2? -

A: Given : hx = x-32+2

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

A:

Q: Answer the following 3 questions using the linear function y=-4x+3 If x = -11 then….. As x -> -∞ As…

A:

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: Suppose Fix)= √2x¹+ 6 and the point (2,5) is on the graph y = F(x). Find F.

A: Given problem:- Suppose F'(x) = √2x +6 and the point (2,5) is on the graph y= F(x). Find F.

Q: 1. Hazim has signed up a postpaid mobile plan with Nexus Telco Sdn. Bhd. The monthly cost, C of the…

A: Hazim has signed up a post paid mobile plan with Nexus Telco Sdn. Bhd. The monthly cost, C of the…

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2>x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: line to the graph of y = f(x) at a = 5.

A: Given: -The equation of the tangent line to the curve y = f(x) at the point where a=5 is y=9x-4. To…

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: What are the points of inter section of y = 8 and f(x)

A:

Q: At which ordered pair will the function f(x) = Vx – 4 +7 begin on the coordinate plane?

A:

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

A:

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: Based on the scatterplot predict the value of y when x = 30 -mittens 10

A: From the scatter diagram, the slope of the regression is downward slope   As slope is downward,…

Q: 1. I = dx1 dx2 .. | dx10(x1 + x2 + …+x10)? Please include your code as well as the graphs and…

A: To evaluate: I=∫01dx1∫01dx2⋯∫01dx10x1+x2+⋯+x102

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A: Revenue, R(x) = Price x Quantity Hence, R(x) = [-(1/5)x + 50]x = 50x - (1/5)x2

Q: Find the fx(x, y) and fy(x,y) of the following function x² – y3 f(x,y) %3D Inxy

A: Given: fx,y=x2-y3lnxy

Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: 57 4- 3- 2- 1- -7 -6 -5 -4 -3 -2 -i 0l i e 3 4 5 6 7 -3- -4- -5+

A: Consider the given graph and from the graph it can be seen that:

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b > 0.

A: f(x)=mx+ b

Q: Without using a​ calculator, complete the table with values of the function ​f(x)=(81)x. Then use a…

A: given function is f(x)=81 x find out the values of f(x) at x=-34,-12,-14,0,14,12,34,1

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: Which function has x-intercepts at −3π/2,−π/2,π/2,-3π/2?

A:

Q: 14, Determine the domain and range of the following function. y -3 3 -2

A:

Q: In Exercises 19–24, use the graph off to find each indicated function value. y y = flx) 19. f(-2)…

A: Consider the given figure

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: Find an equation for the graph sketched below: 8- -5 -4 -3 -2 -2 -5 f(x) =

A: our objective is to find a f.

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.