When Makayla moved into a new house, she planted two trees in her backyard. At the time of planting, Tree A was 19 inches tall and Tree B was 35 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 2 inches per year. Let A represent the height of Tree A t years after being planted and let B represent the height of Tree Bt years after being planted. Write an equation for each situation, in terms of t, and determine the number of years after the trees were planted when both trees have an equal height.

Q: The number of parts produced by three different machines are shown in the tables. Only one of the…

A: We have to find out which machine produce parts at constant rate.

Q: e: conter (-2,1), distance From the center to a vertex is 5. vertical hyperbola passing through the…

A: Here general equation of the hyperbola is given by the below formula, x^2/a^2 - y^2/b^2 = 1 The…

Q: Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the…

A: Initial amount of water, y intercept =8 inches Slope,m=3inches per day

Q: Grayson and Claire are reading the same book. At the beginning of the month, Grayson was on page 40…

A: Given :  Initial condition,  At the start, Grayson is on page 40 Claire is on page 19 Grayson reads…

Q: A student has 63 coins worth a total of $7.95. Each coin is either a nickel (five cents) or a…

A:

Q: Tom visits different states every summer. This summer, he started with 3 states already visited and…

A: Let d:denote number of days     S: number of states visited by Tom .

Q: A small company took out three different loans totaling $73000 to expand their business. The annual…

A: A small company took out three different loans totalling  to expand their business.The annual rate…

Q: Jane has two test grades of 83, four grades of 86, and 3 grades of 92 on her first nine math tests.…

A:

Q: The number of streetlights in a  town is growing linearly. 10 months there were 70 lights. Now there…

A: increase of lights in 10 months = 470-70=400

Q: It should be a -c at the end for the start of the equation.

A: By using the Law of Cosines to prove that, .

Q: A student's grade in a course is the average of 4 test grades and a final exam that is worth four…

A:

Q: Jess is twice as old as Dan , and Dan is four times as old as Jun . Express each of their ages in…

A:

Q: A small town has two local high schools. High School A currently has 600 students and is projected…

A:

Q: y=+V36- (x+2)2 *+2)?

A: Just plug in the values of x and we will get values of y.

Q: value of a comic book in dollars has been found to be 0.20y+1.50, where y is the number of years…

A: Given is to find the rate of value of increasing and initial value.

Q: vertex and 8 units 18 units From prom focus other the and 14,0) parsing through

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: Imani buys dog food in a 12-pound bag. amounting to 38 cups of food. Each day she feeds her dog 3/2…

A: Let's find relationship between number of cups of dog food remaining in the bag and the days since…

Q: On this flight, the cost of a ticket for each Business Class passenger was 320 euros and the cost of…

A: Consider the given information. Let the number of Business Class passenger is x and the number of…

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.