Answer:
13
Step-by-step explanation:
To find g f(2) , evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2(2) + 1 = 4 + 1 = 5 , then
g(5) = 3(5) - 2 = 15 - 2 = 13
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
Y
=
−
3
x
+
5 5
x
−
5
y
=
-
3
Step-by-step explanation:
the question is already substituted
The answer is no y varies 8 x varies 2
Answer:
3rd Option and 4th Option
Step-by-step explanation:
Note: The options to the question is attached as picture below
<u>1st case</u>
Initial deposit (P) = 500
Annual interest rare (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)× ----- 3rd option
<u>2nd case</u>
Initial deposit (P) = 400
Annual interest rare (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)× ---- 4th option
