0.5x-7= 0.3 solve the equation
1 answer:
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Answer:
3. 2
4. f(n) = 3 + 4(n - 1)
Step-by-step explanation:
3. The general term of the arithmetic sequence is given by:
A(n) = - 14 + (n - 1)(2)
To find the ninth term of this arithmetic sequence, just put in the general term.
∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.
Therefore the ninth term in the arithmetic sequence is two.
4. To know which expression represents the given sequence, substitute different values for to conclude.
In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.
We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.
In Option B, f(n) = 4 + 3n. Substitute n = 1.
We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.
Similarly in Option C, we get 7 and could be eliminated.
In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.
We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.
Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.
Substitute n = 3, 4 to get other terms as well.
So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.
Answer:
Approximately 4 loaves of bread.
Step-by-step explanation:
Let us get out the total amount of flour that Josh has first of all. This is cups of flour.
Each lof requires cups of flour. This means that to make a loaf, he will be taking out this quantity of flour from the whole lot.
To get the total number of loaves he can make with this quantity of flour, we will have to divide the total quantity of flour available by the quantity required to make a single loaf.
This will be ÷
=
. This is approximately 4 loaves of bread
Attached is a picture showing the plot in the plane.
Note that for a complex number , x + iy.
The real part of the number is put on the x axis and the imaginary part is put on the y axis.
So plotting:
A = 4 + 1i
B = 9 + 7i
C = 5 + 8i
See picture.
Note that for a complex number , x + iy.
The real part of the number is put on the x axis and the imaginary part is put on the y axis.
So plotting:
A = 4 + 1i
B = 9 + 7i
C = 5 + 8i
See picture.