Given: y²+5y
Converting y²+5y in the form: x²+2ax+a²
Here 2a=5 or a=5/2
Add and subtract (5/2)²
y²+5y+(5/2)²-(5/2)²
Complete the square.
(y+5/2)²-(5/2)²
Simplify
(y+5/2)² - 25/4
Answer: (y+5/2)² - 25/4
Answer:
B
Step-by-step explanation:
f(x) = sqrt(x) + 9
f(x) - 9=sqrt(x)
f^(-1)(x)=(x-9)^2 and it's domain is greater than 0
Answer:
130
Step-by-step explanation:
Supplementary angles are angles that are equal to 180 degree so if one is 50 degrees then the other must be added to it and get 180
180= 50 + ∠4
-50 -50
130=∠4
Answer:
The equation to represent g(x) will be 
Step-by-step explanation:
Considering the logarithmic function

As we know that when a constant c gets added to the parent function, the result would be a vertical shift c units in the direction of the sign of c.
So,
is basically the shift up by 4 units, and the graph also showing the same situation.
Therefore, the equation to represent g(x) will be 
Also, the graphs of both
and
is attached where black mark graph represents
and red mark graph represents
.
Keywords: transformation, vertical shift, graph
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Answer:
a)the proportion of student is 0.1082
b)
H1: p = .08
H2: p not equal to 0.08
H1: p =0 .08
H2: p < .08
H1: p =0 .08
H2: p >0 .08
c)z=1.45
d) the p value is 0.1470
e)null hypothesis cannot be accepted,There is no enough evidence to reject the null hypothesis.
Step-by-step explanation:
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION