Given the function. y = 3x + 5
For, x = -3; y = 3(-3) + 5 = -9 + 5 = -4
For x = 1; y = 3(1) + 5 = 3 + 5 = 8
For x = 4; y = 3(4) + 5 = 12 + 5 = 17
Thus the table representing the function is the table with: -3, 1 and 4 as x-values and -4, 8, 17 as y-values.
For x = 0; y = 3(0) + 5 = 0 + 5 = 5
For y = 0; 0 = 3x + 5; 3x = -5 and x = -5/3
Thus the graph of the function is a straight line passing through points (0, 5) and (-5/3, 0).
To illustrate the fuction as a word statement we say that y is five more than three times x
From the given descriptions, the graph does not represent the graph of y = 3x + 5.
Therefore, the one that does not describe the same situation is the graph.
Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
Answer:
7
Step-by-step explanation:
Hello :
by moivre theorem :
[2(cos15*+isin15*)]^3 = 2^3(cos(3×45*)+isin(3×45*))
=8 (cos45*+isin45*)
= 8 ( √2/2 +i √2/2)
= 4√2 + 4√2 i ..... ( <span>in standard form a+bi)
</span>a = b = 4√2
A fraction less than 5/6 but has a denominator of 8 could be:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
You can choose any one of those fractions as your answer.