Answer:
a+2b-d=1, 3, 5, 7
Step-by-step explanation:
(ax^2+bx+3)(x+d)
ax^3+bx^2+3x+adx^2+bdx+3d
ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12
ax^3=x^3, a=1
bx^2+adx^2=6x^2
x^2(b+ad)=6x^2
b+ad=6
b+(1)d=6
b+d=6
------------
3x+bdx=11x
x(3+bd)=11x
3+bd=11
-----------------
b=6-d
3+(6-d)d=11
3+6d-d^2=11
3-11+6d-d^2=0
-8+6d-d^2=0
d^2-6d+8=0
factor out,
(d-4)(d-2)=0
zero property,
d-4=0, d-2=0
d=0+4=4,
d=0+2=2
b=6-4=2,
b=6-2=4.
------------------
a+2b-d=1+2(2)-2=1+4-2=5-2=3
-------------------
a+2(4)-4=1+8-4=9-4=5
-----------------------
a+2(2)-4=1+4-4=5-4=1
-----------------------
a+2(4)-2=1+8-2=9-2=7
Answer:
f(x + 1) = 3x² + 5x + 7
Step-by-step explanation:
To find f(x + 1), substitute x = x + 1 into f(x), that is
f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL
= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3
= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms
= 3x² + 5x + 7
-1/4 + f/8 = 1/2.
The LCD is 8. Rewrite this equation as -8/4 + 8f/8 = 8(1/2) and then reduce the result:
-2 + f = =4
Then f = 6.
You should check this result.
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula 
to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle = 
= 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches
Step-by-step explanation:
Area=23ft²
Side=√23ft²
Side=4.8ft
