So (2.14 - 1.2)/1.2 = 0.78333... so 78.3333 percent increase. You have to memorize the formula: Percent increase = (New percent - Old percent)/Old percent
Answer:
f(g(x)) = -5x^2 - 30x + 49
Step-by-step explanation:
f(g(x)) is a composite function, where 'x' in f(x) is replaced by 'x^2 + 6x - 7' because the latter expression is now the input to f(x).
Write out f(x) = -5x + 14, and then replace each 'x' with '( )'
f( ) = -5( ) + 14
Now insert 'g(x)' into the first set of parentheses and 'x^2 + 6x - 7' into the second set of parentheses:
f( ) = -5( ) + 14 becomes:
f(g(x) = -5(x^2 + 6x - 7) + 14. After simpification, this becomes
f(g(x)) = -5x^2 - 30x + 35 + 14, or
f(g(x)) = -5x^2 - 30x + 49
ANSWER: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
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