Find the gradient of the line segment between the points (-2,3) and (-4,-2).Give your answer in its simplest form.
Answers
Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
Therefore, the gradient of the given line segment is .
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Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.
A fishery is an area with the specific purpose of controlling fish populationsfor commercial or recreational fishing. Population dynamics describe how afish population changs over time. The population is changed by birth, death,and migration of fish. While the supply of fish (population growth) can bemodeled with a linear equation, so can the demand of fish (the amount caught).In one commercial venture, fishermen recorded their daily catch in an oceanfishery. Using their data, the demand model for the total number y of fish caughtfor x days is y = 349x + 50. What is the meaning of the slope?
Which best describes the range of the function f(x) = 2(3)x?y > 0 y ≥ 0 y > 2 y ≥ 2
(x,y) → (0.5x, 0.5y)
Answers
Answer:
see attached
Step-by-step explanation:
The dilation factor of 1/2 moves each point to half its previous distance from the origin.
B. y = 4
C. y = 1
D. x = 1
Answers
In this case, to pass through (1,4), y = 4.
Then the answer is option B.
Answers
Answer:
12q the power of 10
Step-by-step explanation:
Answers
8/2 = 4
So, each notebook was $4.00.
Answers
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.
b. What do the slope and S-intercept of the graph of the relation represent, base on the interpretation from part a.?
c. If Tim plans to stop his savings once he has accumulated $1250, what are the domain and range of this relation.
Answers
Answer:
Step-by-step explanation:
Given that Tim has developed a money saving strategy that uses the formula S=450+100r.
a) 450 will be savings always and for every r an additional 100 would be saved
b) Slope = 100 represents the increase of S for a unit increase of 1.
S intercept = 450 is the savings even when r=0
c) Since max savings is 1250 and min is 450
Range = (450,1250)
For 450 range, domain r =0 and for range 1250, domain r = 8
Domain =(0,8)
B) The Slope represents the time it takes to make 100 dollars, and S represents the total amount of money Tim has.
C) If Tim got to 1250 dollars, it would be 8 for R. So 8 would be the domain and 1250 for the range.