Answer:
let a = x² (a ≥ 0), we have the equation:
a² + a + 1 = 0
⇔ a² + 2.1/2.a + 1/4 + 3/4 = 0
⇔ (a + 1/2)² = -3/4 (unreasonable)
=> no solutions
Step-by-step explanation:
Step-by-step explanation:
Letthenumberofpensbexand
numberofpencilsbey
then
x+y=16ory=16−x
andtheirvalue
8x+1.5y=50
8x+(
2
3
)(16−x)=50
8x+24−(
2
3
)x=50
8x−(
2
3
)x=50−24
(
2
13x
)=26∴x=4
theny=16−x=16−4=12
Answer:
d
Step-by-step explanation:
rearrange it like an equation.
take everything else out of the middle apart from x.
make sure that what you do to the middle you do to both sides
1. Divide wire b in parts x and b-x.
2. Bend the b-x piece to form a triangle with side (b-x)/3
There are many ways to find the area of the equilateral triangle. One is by the formula A=

A=

Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6
3. Let x be the circumference of the circle.

so

Area of circle =

4. Let f(x)=

be the function of the sum of the areas of the triangle and circle.
5. f(x) is a minimum means f'(x)=0
f'(x)=

=0



6. So one part is

and the other part is b-
The range of the fiction is 32 bc the x & y is 6