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MATH SOLVE
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General
Name the different forms of linear equations you learned. If (1, 2) and(3, 4) lie on the same line, give the slope-intercept equation of the line.2Explain how to find the inverse of f(x) = (x-1)/42What is average rate of change? How do you calculate it? What can you tell about the average rate of change for linear functions? Compare the slopes of horizontal and vertical lines.3/4Compare the processes of graphing linear equations and inequalities with examples of your own.3/4Create a real-life scenario in which you show how you interpret key features of functions and graphs such as slope and y-intercept?Module 21What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.2Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32. Compare the process to multiplying and dividing.2Give an example of an expression with a rational exponent and explain how to convert it into radical form.3/4A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equations that involve radical expressions?Where in real life do you work with radical expressions and functions? Give an example of your own.Module 3Webbs DOKDiscussion Prompt1How many different ways can you solve a quadratic equation? List them.2Create a trinomial that can be factored and write it in standard form.2Factor x^2 – 7x + 10, 4x^2 – 81 and p(x)=3x^3-12x3/4What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are added to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.3/4A ball is kicked into the air and follows the path described byh(t)= -4.9t^2+6t+0.6, where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?
General
2 months ago
1. Solve for the variable in the following proportion.n : 1/2 as 6 : 1 n=2. Solve for the variable in the following proportion.1/4 is to 1 1/4 as 2 is to b b=3. In a group of students, the ratio of girls to boys is 3 to 2. If there are 15 girls, how many total students are there?A) 10B) 20C) 25D) 304. On a field trip, there are 12 adults and 14 students.What is the ratio of the number of adults to the total number of people on the field trip?A) 6 to 13B) 12 to 14C) 26 to 12D) 6 to 75. If 2d = 5c, then all of the following are true except _____. A) 2/5= c/dB) 5/2= d/cC) 2/c= 5/dD) 2/d= c/5Please help and hurry. I need the answer as soon as possible.
General
2 months ago
use the discriminant to describe the root of each equation 3x^2-10=0
General
2 months ago
What is the length of AB⎯⎯⎯⎯⎯ ? Enter your answer in the box. Round only your final answer to the nearest whole number. cm Triangle A B C has angle A labeled 80.4 degrees with its opposite side labeled 17 and angle C labeled 48.9 degrees with its opposite side labeled c.
General
2 months ago
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.Write a function to model the amount in his account, A, over t years, assuming he makes no other deposits or withdrawals. Write your function in the form A=P(1 +r)^t2PointsUse the math editor to write your function.Answer the question in complete sentences.Hint:P is the initial amount in the account.Change the interest rate from a percent to a decimal by moving the decimal 2 places to the left and substitute this number in for r.
General
2 months ago
1. In the figure below, ABC ~ PQR.in given figure, ABC is 4 cm and PQR is 6 cmIf the area of ABC is 40 cm2, what is the area of PQR? Show your work.2. A science museum has a spherical model of the earth with a diameter of 8.5 m. What is the volume of the model? Use 3.14 for and round your answer to the nearest whole number. Show your work.(4 points: 1-Work shown, 1-Calculations, 1-Area, 1-Units)
General
2 months ago
HELPPPPP ... Question 18
General
2 months ago
are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of the larger figure
General
2 months ago
how much empty space is inside the can of tennis balls? the radius of each tennis ball is 1.5 inches. The radius of the can is 1.75 inches and the height is 9 inches. Use 3.14 for pi, and round your answers to the nearest hundredth.
General
2 months ago
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
General
2 months ago
Derive the equation of the parabola with a focus at (4, −7) and a directrix of y = −15. Put the equation in standard form. (2 points) Question 5 options: 1) f(x) = one sixteenth x2 − 8x + 11 2) f(x) = one sixteenth x2 − 8x − 10 3) f(x) = one sixteenth x2 − x + 11 4) f(x) = one sixteenth x2 − x − 10
General
2 months ago
A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 1 to year 10. The crop yield increased by 9 pounds per acre from year 1 to year 10. The crop yield decreased by 0.09 pounds per acre from year 1 to year 10. The crop yield decreased by 11 pounds per acre from year 1 to year 10. The crop yield increased by 99 pounds per acre from year 1 to year 10.
General
2 months ago
A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? Correct: Your answer is correct. m (b) How much wire should be used for the square in order to minimize the total area? Incorrect: Your answer is incorrect. m
General
2 months ago
19. Solve sin O+ 1 = cos 20 on the interval 0≤x < 2xpi
General
2 months ago
A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest?
General
2 months ago
I am having trouble with this relative minimum of this equation.
General
2 months ago
The point A(-6,-5) is translated using T: (x,y) - (x + 4, y + 6).What is the distance from A to A'?
General
2 months ago
Jordan is kayaking upstream. The following equation models his speed: f(x) = 2x2 − 4x − 9, where x is Anna's speed relative to land. What is the domain of the function? x ≥ 1 x ≤ −4 x ≥ −9 All real numbers
General
2 months ago
Across a horizontal distance of 25 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of the drop is -150 feet, compared to its height at the top of the drop. What is the average amount that the roller coaster's height changes over each horizontal foot?
General
2 months ago
21. A courier company has motorbikes which can travel 300 km starting with a full tank. Two couriers, Anna and Brian, set off from the depot together to deliver a letter to Connor's house. The only refuelling is when they stop for Anna to transfer some fuel from her tank to Brian's tank. She then returns to the depot while Brian keeps going, delivers the letter and returns to the depot. What is the greatest distance that Connor's house could be from the depot? (A) 180km (B) 200 km (C) 225 km (D) 250 km (E) 300 km
General
2 months ago
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