Answer:
y = 9 + 19x
Step-by-step explanation:
To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y. If you do, you found your equation.
You have a big advantage here... since you have the value of y when x = 0.
When x = 0, y = 9, that's a very important data to have to simplify your research.
Let's try the value of 0 for x in each of the given equations:
y = 18 + 10 (0) = 18 --- NO
y = 9 + 19 (0) = 9 --- YES! We can confirm with another value of x:
y = 9 + 19 (1) = 28 --- YES! Confirmed!
y = 9 + 19x is your answer!
Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Hello there,
Okay so the question is asking us to subtract the two mixed numbers, 6 3/5 - 2 4/5, from each other...
The first step would be to change the mixed numbers to improper fractions:
- 6 3/5 as improper fraction would be 33/5
- 2 4/5 as improper fraction would be 14/5
Now we need to make sure that the denominators are the same and in this case they are.
Simply subtract 14 from 33 and you would get 19 and the denominator stays the same so you would get 19/5.
- Now turn 19/5 into a mixed number and you would get 3 4/5
The answer to the 6 3/5 - 2 4/5 would be 3 4/5.
Hope I helped,
Amna
Step-by-step explanation:
The area that cow can graze is in the form of semicircle.
Radius of semicircle
Length of rope =14 m
Required area = 1/2 ×πr
=1/2×22/7×r^2
=1/2×22/7×14×14
=308m2
The run can be made 11 meters long