Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Answer:
37.2m^3
Step-by-step explanation:
Given: The dimension of a cuboid
To Determine: The volume of the container
The volume of a cuboid is calculated by the formula below:
Substitute into the formula the given dimensions
Hence, the volume of the container is 37.2m^3
Answer:
B
Step-by-step explanation:
to find this, we can isolate y.
x+y=11
y=11-x
y=-x+11
you got it right, gj:)
Upon slight rearrangement...
54xy+18y+45x+15 now factor 1st and 2nd pair of terms
18y(3x+1)+15(3x+1) which is equal to
(18y+15)(3x+1) and you can further factor the first binomial factor
3(6y+5)(3x+1)
Area=legnth times width
legnth=16 ft
width=3 ft
but wait, they want the area in squazre METERS
so convert feet to meters
1 foot=0.3048 meters
convert 16 feet and 3 feet to meters
16 feet=16 times 0.3048=4.8768
3 feet=3 times 0.3048=0.9144
so the area is now
legnth=4.8768 m
width=0.9144m
area=4.8768 m times 0.9144 m=4.45934592
round
4.0
answer is 4 square METERS
4 m^2
