Te x intercepts are where the graph crosses the x axis or wher y=0
the y intercept is where the graph crosses the y axis or where x=0
to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a
so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8
vertex is (-2,-8)
intercepts
x intercept is where y=0
0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)
yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)
vertex at (-2,-8)
xints at x=
and
or at the points
and
yint at y=7 or at (7,0)
Answer:
Let A be the area of the dilated triangle.
Given the statement: A triangle with an area of 2/3 cm2 is dilated by a factor of 6.
⇒ Pre-image triangle has an area =
Scale factor(k) states that the dimension of the Dilated-image is 6 times longer than the dimensions of the pre-image.
i.e,
Substitute the given values to find the value of area of dilated triangle.
or
Multiply both sides by 2 we get;
Divide both sides by 3 we get;
Therefore, the area of the dilated triangle is,
1/4 cup of food each day.
6 cups of food in the bag
6/1=24/4 (6*4)/(1*4)
24/4÷1/4=24/1
The answer is that the food will last 24 days.
Answer:
99989999998999999900010000001 or 9.9989999998999999900010000001 × 10^28 in Scientific Notation
Step-by-step explanation: