Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = ← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = ( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = ← equation of variation
When p = 2 and q = 3, then
r = = = 8
Answer:
g(x) = 2x – 3 is the function has an inverse that is also a function.
The correct option is A.
Inverse function;
The inverse of a function is the equation where x and y have switched places.
Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
k(x) = - has the inverse x = which simplifies to;
f(x) = |x+2| is an absolute value function.
w(x) = -20 does not have an inverse which is a function.
Therefore
The function has an inverse that is also a function is g(x) = 2x – 3.
#SPJ1
Answer:
160
37
98
120
vertical, corresponding, congruent
supplementary, vertical, congruent
Step-by-step explanation:
thx
Answer:
a] 38.5$
b] 118.71$
Step-by-step explanation:
A)35$ was increased by 10%
So:
10% of 35$
10/100 x 35 ($)
3.5$
So 35$ was increased by 3.5$ and the new price is 38.5$
B)105.99$ was increased by 12%
So:
12% of 105.99$
12/100 x 105.99$
=12.7188$
Let's round it to the nearest hundredths:
12.72$
So 105.99$ was increased by 12.72$ and the new price is 118.71$
HOPE IT HELPS :D
Tip: "of" means multiplication in Maths.