Answer:
162
Step-by-step explanation:
Remainder is f(2)=5*(2)^5+2
Up where is the picture for this to see the other angles<span />
Answer:
a) 34
b) 30
Step-by-step explanation:
so the nth term is just the position on the term, so if u want to find the 5th term you just have to substitute 5 in for n and solve!
a) 6n + 4
= 6(5) + 4
= 30 + 4
= 34 --> the 5th term for a sequence defined by 6n+4 is 34
b) n^2 + 5
= (5)^2 + 5
= 25 + 5
= 30 --> the 5th term for a sequence defined by n^2 + 5 is 30
hope this helps!
Answer:
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
Step-by-step explanation:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
Answer:
- simplifies to -2x -17 = 5x -10
- x = -1 . . . . the solution
Step-by-step explanation:
-2(x+5)-7=3x+2(x-5) . . . . starting equation
-2x -10 -7 = 3x +2x -10 . . . eliminate parentheses using the distributive property
-2x -17 = 5x -10 . . . . . . . . . collect terms
-7 -2x = 5x . . . . . . . . . . . . . add 10
-7 = 7x . . . . . . . . . . . . . . . . . add 2x
-1 = x . . . . . . . . . . . . . . . . . . . divide by 7