Answer:
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Step-by-step explanation:
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
Answer:1/3
Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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0.04, or 4 hundredths is 10 percent of 0.40
10 times 0.04 gives you 0.40
