a) (x+6)^2-25
b) (-6, -25)
Step-by-step explanation:
Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.
For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).
Hope that helped,
-sirswagger21
The graphs that are density curves for a continuous random variable are: Graph A, C, D and E.
<h3>How to determine the density curves?</h3>
In Geometry, the area of the density curves for a continuous random variable must always be equal to one (1). Thus, we would test this rule in each of the curves:
Area A = (1 × 5 + 1 × 3 + 1 × 2) × 0.1
Area A = 10 × 0.1
Area A = 1 sq. units (True).
For curve B, we have:
Area B = (3 × 3) × 0.1
Area B = 9 × 0.1
Area B = 0.9 sq. units (False).
For curve C, we have:
Area C = (3 × 4 - 2 × 1) × 0.1
Area C = 10 × 0.1
Area C = 1 sq. units (False).
For curve D, we have:
Area D = (1 × 4 + 1 × 3 + 1 × 2 + 1 × 1) × 0.1
Area D = 10 × 0.1
Area D = 1 sq. units (True).
For curve E, we have:
Area E = (1/2 × 4 × 5) × 0.1
Area E = 10 × 0.1
Area E = 1 sq. units (True).
Read more on density curves here: brainly.com/question/26559908
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Answer:
I resolve the expression
(4x+3) (3x-8)=12x2-32x+9x-24
12x2-23x-24
the polynomial (4x+3) (3x-8) is equivalent a the expression 12x2-23x-24
In terms of its radius 
, the volume of the balloon is
The diameter 
is twice the radius, so that in terms of its diameters, the balloon's volume is given by
Differentiate both sides with respect to time 
:
The diameter increases at a rate of 
. When the diameter is 
, we have
or about 23,562 cc/min (where cc = cubic centimeters)
Answer:
Rate = 0.7%
Step-by-step explanation:
Rate = Interest / (principal x time)
rate = 12.83 / ((550) x 12/4)
rate = 12.83 / (550 x 3)
rate = 12.83 / 1650
rate = 0.007
rate = 0.7%
