Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Answer:
19
Step-by-step explanation:
So now its

but you want it in y=mx+b so
add x to both sides so that you have y on its own
so now it's
Answer:
The value found is.
sin θ = 0.6
Step-by-step explanation:
We know that the value of cosθ is given -4/5
cosθ = -4/5
First, lets finds the angle θ by taking inverse of cosine of -4/5
θ = cos⁻¹ (-4/5)
θ = 143.13°
Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:
tanθ < 0
tan(143.13°) < 0
-0.75 < 0
Hence the equation is satisfied.
Which means that θ is equals to 143.13° and can be used to find sinθ
sinθ = sin 143.13°
sin 143.13° = 0.6