What two mixed numbers between 3 and 4 have a product between 9 and 12
1 answer:
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Answer:
Intercept form is y= (x+5)(x+3)
vertex is (-4,1)
y intercept is (0,15)
x intercepts are (-5,0) (-3,0)
Step-by-step explanation:
Given quadratic function
To rewrite it in standard form we need to expand (x+4)^2
Intercept form is y=a(x-p)(x-q)
Factor x^2 + 8x + 15
product is 15 and sum is 8, 5*3= 15 and 5+3=8
(x+5)(x+3)
Intercept form is y= (x+5)(x+3)
Vertex form of equation is y=(x-h)^2+k
where (h,k) is the vertex
, here h = -4 and k =1 so vertex is (-4,1)
To find y intercept plug in 0 for x
y= (x+5)(x+3)
y= (0+5)(0+3) = 15, so y intercept is (0,15)
to find x intercept plug in 0 for y
y= (x+5)(x+3)
0= (x+5)(x+3), x+5 =0 and x+3=0
x=-5 and x= -3
So x intercepts are (-5,0) (-3,0)
The ratio of the height of the stick to the length of its shadow is equal to the ratio of the height of the tree to the length of its shadow.
x - the height of the tree
The tree is 36 ft tall.
x - the height of the tree
The tree is 36 ft tall.