The value of the function g(f(x)) will be; (9x² -12x + 4).
<h3>What is a function?</h3>
Function is a type of relation, or rule, that maps one input to specific single output.
Given that the function are;
f(x)=3x-2 and g(x)= x²
Therefore, we need to find g(f(x))
Substitute x =3x - 2 into g(f(x)), that is;
g(f(x)) = g(x² )
g(f(x)) = (3x - 2)²
g(f(x)) = (9x² -12x + 4)
Therefore, the value of the function g(f(x)) will be; (9x² -12x + 4).
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Answer:
Step-by-step explanation:
From the figure attached,
Given:
Lines AB and CD are intersecting each other at a point E.
To prove:
∠ACB ≅ ∠DEB
Statements Reasons
1). ∠AEC + ∠BEC = 180° 1). Linear pair theorem
2). ∠DEB + ∠BEC = 180° 2). Linear pair theorem
3). ∠AEC + ∠BEC = ∠DEB + ∠BEC 3). Transitive property of equality
4). ∠AEC = ∠DEB 4). Subtraction property of equality
Answer:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
Considering the 36-month loan,
T = 36 months = 36/12 = 3 years
P = $15000
R = 6.5%
Therefore
I = (15000 × 6.5 × 3)/100
I = 292500/100
I = $2925
Considering the 48-month loan loan,
T = 48 months = 48/12 = 4 years
P = $15000
R = 7.5%
Therefore
I = (15000 × 7.5 × 4)/100
I = 450000/100
I = $4500
The difference in the amount of interest Ella would have to pay for these two loans is
4500 - 2925 = $1575
Comparing fractions with different denominators is simply with this simple method!
Cross multiply
99 100
9 10
10 11
100 is bigger than 99.
10/11 is bigger then 9/10
