Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
He can travel about 157.62 miles on 7.4 gallons of gas
Answer:
Step-by-step explanation:
Cosine (cos) is adjacent by hypotenuse. 
In any of the 45° angles, 1 is adjacent and √2 is the hypotenuse.
So arrange them to get
Answer:
1. a) rule is that it adds 5 every time
1.b) 25, 30, 35
2.a) rule is that it adds 0.2 every time
2.b) 2.1, 2.3, 2.5
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