Answer:
Step-by-step explanation:
The expression can be fully factored as ...
3·5·(x-3)
Equivalent expressions can be formed by eliminating parentheses to give ...
15x -45
or by combining different pairs of factors:
Of course any of the terms can be broken apart and/or combined in different ways:
= 15(x -2) -15
= (7x -7) + 2(4x -19)
Answer:
Step-by-step explanation:
follow the Pemdas order of operations
add and subtract (left to right)
apply the rule +(-a)=-a
+(-78)=-78
=54-78-(-39)
54-78=-24
=-24-(-39)
apply the rule -(-a)=+a
-(-39) =+39
=-24 +39
-24+39=15
=15
From the recursive rule
it follows that
and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with
so that the explicit rule for the n-th term in the sequence is
Answer:
The value of θ is 20.105°
Step-by-step explanation:
Consider the provided information.
A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal.
Sine of angle is force over weight.
Substitute F = 5500 pounds and W = 16,000 pounds in above formula.
Hence, the value of θ is 20.105°
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 6 → (1)
y = 3x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
3x - 2 = - 5x + 6 ( add 5x to both sides )
8x - 2 = 6 ( add 2 to both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 in (2)
y = 3(1) - 2 = 3 - 2 = 1
Solution is (1, 1 )
