There are 27 boys on the playground.
Step-by-step explanation:
No. of Pre-K children = 34
No. of kindergarten children = 29
Total no of children = 29+34 = 63
Ratio of boys to girls = 3:4
Total ratio = 3+4 = 7
Therefore,
boys proportion = 
Total number of boys = 

There are 27 boys on the playground.
Keywords: Proportion, division.
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F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
Answer:
b) -10
Step-by-step explanation:
x^2 + 3x + k = (x - 2)(x - a)
(x - 2)(x - a) = x^2 - 2x - ax + 2a = x^2 + [-2 - a)x] + 2a
-2 - a = 3
2a = k
a = -5
k = 2(-5) = -10
Answer: b) -10
Answer:
domain (-4,infinity) range (negative infinity, infinity)
Step-by-step explanation:
The domain is the x axis. the x axis starts at -4 and keeps going meaning it goes to infinity. the range is the y axis. the range has no determined starting point or end point meaning it goes to negative infinity and positive infinity
Answer:
140
Step-by-step explanation:
B=35
1/3 (35)(12)
= 140