Answer:
B . (fog)(-4) = - 61
Step-by-step explanation:
Here, given f(x) = 4 x + 7, g(x) = 3 x- 5
Now, by the COMPOSITE FUNCTION:
(f o g) (x) = f (g(x))
Now here: )f o g) ( -4) = f (g(-4))
<u>Simplifying for g(x) = 3 x - 5</u>
g(-4) = 3 (-4) - 5 = -12 - 5 = -17
or, g (-4) = -17
Now, <u>for f(x) = 4 x + 7 </u>
f ( g(-4)) = f ( -17) = 4 (-17) + 7
= - 68 + 7 = - 61
or, f ( g(-4)) = - 61
Hence, (fog)(-4) = - 61
Answer:
(2x+18) degrees
Step-by-step explanation:
A triangle is a total of 180 degrees, so you would do:
(2x+18)+55+(4x+11)=180
(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms
6x+84=180 <- subtract 84 from both sides of the equation
6x=96 <- divide 6 from each side
x=16
Now that you know what x is you would plug it into each of the angles
Angle 1: 2x+18 --> 2(16)+18= 32+18= 50
Angle 2: 55
Angle 3: 4x+11 --> 4(16)+18= 64+18= 82
Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.
Answer:
6 minutes
Step-by-step explanation:
15-5=10
10-4=<u>6</u>
Answer:
Step-by-step explanation:
(simplify)
(Add 3 to both sides)
(simplify)
(Multiply both sides by p)
(Multiply both sides by 2)
(Divide both sides by 7)