Answers:
The first five terms are: 3, 8, 13, 18, 23
This is a linear sequence
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Explanation:
Plug in n = 1 to get the first term
E(n) = 5*n-2
E(1) = 5*1-2
E(1) = 3
So 3 is the first term
Do the same for n = 2 to get the second term
E(n) = 5*n-2
E(2) = 5*2-2
E(2) = 8
So 8 is the second term
And again for n = 3
E(n) = 5*n-2
E(3) = 5*3-2
E(3) = 13
This means 13 is the third term
And again for n = 4
E(n) = 5*n-2
E(4) = 5*4-2
E(4) = 18
This means 18 is the fourth term
Finally, repeat for n = 5
E(n) = 5*n-2
E(5) = 5*5 - 2
E(5) = 23
So 23 is the fifth term
This sequence is linear because we're incrementing by the same amount each time. In this case, we're adding 5 each time for the sequence 3, 8, 13, 18, 23, and so on.
Answer:
A Rational Number can be made by dividing two integers.
Step-by-step explanation:
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
Answer:
<h2>x = -2, y = 1</h2>
Step-by-step explanation:
given the system of equations y=1/2x+2 and y=-2x+-3, since the 2 equations are functions of y, we will equate both equations together and calculate the value of x as shown
1/2x+2 = -2x-3
x/2+2x = -3-2
5x/2 = -5
5x = -10
x = -10/5
x = -2
Substituting x = -2 into any of the equation to get the value of y we have;
y = -2(-2)-3
y = 4-3
y = 1
The solution to the system of equation (x, y) = (-2, 1)
Answer:
3c + 2x + 11
Step-by-step explanation: