Answer:
= 
+ 3 ; a₁ = 1
Step-by-step explanation:
Given
1, 4, 7, 10, 13, 16, ......
Note the difference in consecutive terms is constant, that is
4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3
Thus to obtain the next term in the sequence ( recursive formula )
Add 3 to the previous term
= + 3 ( with a₁ = 1 )
Answer: the answer is 1
Step-by-step explanation:
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
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Answer:
B. -6 does not belong to the domain but belongs to the range of f(x).
Step-by-step explanation:
We have the function, 
.
So, the domain of the function is obtained when 
i.e. 
That is, the domain is {x | x≥ 7}.
Now as we have,
→ → 
→ 
→ 
.
That is, 
Thus, the range of the function f(x) is {y | y≤ 1}.
Thus, we can see that,
-6 does not belong to the domain but belongs to the range of f(x).
Answer:
3
Step-by-step explanation:
3 (1.5 - 0.5) = 3 (1) = 3 * 1 = 3. The value of the expression is 3.
Tell me if I'm wrong :)
