The answer here is C. The sign of the factors are both positive. We can use the FOIL method as reference in determining the sign of the factors. The 3rd term C is positive; therefore our only option is either both negative or both positive. Looking the middle term, which is positive, we know that the middle term is the sum of the outer and inner in FOIL method, which means, signs of the factors must be both positive
Answer:
217°
Step-by-step explanation:
the tangent ratio is positive in the first and third quadrants.
37° is the angle in the first quadrant
then the angle in the third quadrant is
180° + 37° = 217°
Y = 6 when x = 24
direct variation y = kx
the given numbers from one ratio is expressed as y/x = 6/24
to find x, when y = 7
we set up a new ratio that is y/x = 7/x
by the definition both ratios are equal 6/24 = 7/x
6/24 = 7/x
1/4 = 7/x
1/4x = 7
x/4 = 7
x = 7 × 4
x = 28
the value of x is 28 when y = 7
hope this helped, God bless!
Answer:
D. 3x^2 + 3/2 x - 9
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
... = ((1/2)x -3) + (3x² +x -6) . . . . . substitute for f(x) and g(x)
... = 3x² +x(1/2 + 1) + (-3 -6) . . . . . combine like terms
... = 3x² +(3/2)x -9 . . . . . matches selection D
