Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Answer:
The constant of proportionality is 2.
Step-by-step explanation:
In an equation for which we are looking for the constant of proportionality, we use the base form below.
y = kx
In which k is the constant of proportionality. If we use the equation given
y = 2x
We can see k = 2
Answer: Ian's height = x+14 = 69+14 = 83 cm
Explanation :
Let the height of Jim be x
Let the height of Ian be x+4
Let the height of Lisa be x+4+10=x+14
Since their heights increase by 2cm every months
so after 7 months ,
Jim's height = x+14
Ian's height= x+4+14=x+18
Lisa's height= x+14+14=x+28
According to question,
Sum of Ian's and Jim's height = 170cm

⇒x = 
⇒ x= 69cm
∴ Ian's height = x+14 = 69+14 = 83 cm
Answer:
Step-by-step explanation:
d + q = 94.....d = 94 - q
0.10d + 0.25q = 19.30
0.10(94 - q) + 0.25q = 19.30
9.4 - 0.10q + 0.25q = 19.30
-0.10q + 0.25q = 19.30 - 9.40
0.15q = 9.90
q = 9.90/0.15
q = 66 <===== there are 66 quarters
d + q = 94
d + 66 = 94
d = 94 - 66
d = 28 <==== there are 28 dimes
(-3x+4) + (5x + 12) = 2x +16
The answer is D.
Hope it helps!