Answer:
Set y = 0, evaluate the quadratic at h=−b2a and solve for k.
k=9 I think..... I'm not completely sure but I think that's how it is
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
f(x) = 4(x + 6)² + 5
The above expression can be written as: f(x) = ax² + bx + c, by doing the following:
1. Expand (x + 6)²
(x + 6)² = (x + 6)(x + 6)
(x + 6)(x + 6)
x(x + 6) + 6(x +6)
x² + 6x + 6x + 36
x² + 12x + 36
(x + 6)² = x² + 12x + 36
2. Substitute x² + 12x + 36 for (x + 6)² in
f(x) = 4(x + 6)² + 5
This is illustrated below:
f(x) = 4(x + 6)² + 5
(x + 6)² = x² + 12x + 36
f(x) = 4(x² + 12x + 36) + 5
Clear bracket
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
Therefore, the standard of the function:
f(x) = 4(x + 6)² + 5
is
f(x) = 4x² + 48x + 149
Answer:
8
Step-by-step explanation:
3 + [2 + 4(-3)] ÷ (-2)
Following the PEMDAS order of operations, you must start with the terms within the parenthesis/brackets.
= 3 + [2 + (-12)] ÷ (-2)
= 3 + [-10] ÷ (-2)
= 3 - 10 ÷ (-2)
Divide 10 and (-2) by applying the rule: <em>m</em> ÷ ( - <em>n </em>) = - <em>m</em> ÷ <em>n</em>
= 3 - 10 ÷ 2
= 3 - (-5)
= 3 + 5
= 8
Therefore, the correct answer is 8.
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Answer:
19) 50 degrees because its supposed to add to 180
20) x=61
Step-by-step explanation: