(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y

= y
Answer for (a):
=
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
= 
(c)

replace all t's in the

equation with

=

=

=

=
Answer for (c):
= 
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y

= y
Answer for (e): inverse of h(g(t)) =
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:
Water boils at 212 degrees __________
A. Celsius Incorrect
Water boils at 100 degrees _________
B. Kelvin Incorrect
Water boils at 373 _______
C. Thermal Equilibrium Incorrect
Temperature at which all kinetic energy stops
D. Thermal Energy Incorrect
Reached when 2 objects have the same temperature
E. Absolute zero Incorrect
Sum of all kinetic energy and potential energy in an object's particles
F. Fahrenheit
So here are the correct matches:
</span>Water boils at 212 degrees __________F. Fahrenheit
Water boils at 100 degrees _________ A. Celsius
Water boils at 373 _______ B. Kelvin
Temperature at which all kinetic energy stops______E. Absolute zero
Reached when 2 objects have the same temperature ________C. Thermal Equilibrium
Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy
The formula is base x height
Answer:
11 nickels, 15 dimes, 22 quarters
Step-by-step explanation:
number of nickels = x
number of dimes = x+4
number of quarters = 2x
- - - - - -
total of nickels = 5x cents
total of dimes = 10x + 40 cents
total of quarters = 50x cents
- - - - - -
755 = 5x + 10x + 40 + 50x
755 = 65x + 40
715 = 65x
x = 11
x+4 = 15
2x = 22
Answer:
See below
Step-by-step explanation:
For a parallelogram m < A = m < C so:-
75 + 5x = 87 + 3x
2x = 12
x = 6
and m< A = 75 + 30 = 105
and m < C = 87 + 18 = 105
Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.
m < B = m < D
111 - 6x = 39 + 6x
-12x = -72
x = 6
m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75
So this has been proved.