Hello from MrBillDoesMath!
Answer:
0
Discussion:
For the quadratic ax^2 + b^x + c, the discriminant is b^2 - 4ac. In our case, the discriminant is
(-20)^2 - 4 (4)(25) =
400 - 4 (100) =
0
(This means the polynomial has a duplicate root. In fact it factors as (2x-5)^2 ).
Thank you,
MrB
Answer:
diameter = 2.5 feet
Step-by-step explanation:
Circumference of a circle is given as C = πd
Circumference of the tree trunk = 7.85 ft
π = 3.14
Diameter of the tree trunk = d
Thus:
7.85 = 3.14*d
Divide both sides by 3.14
7.85/3.14 = 3.14*d/3.14
2.5 = d
d = 2.5 ft
Answer:
Equations: 
number of chickens = 52
number of goats = 28
Step-by-step explanation:
Given: A small ranch has chickens and goats
Total number of heads = 80
Total number of legs = 216
To find: number of chickens and goats
To draw: the graph
Solution:
Let x denotes number of chickens and y denotes number of goats.
According to the question,

From (i), put
in (ii)

Put
in equation (i)

So,
number of chickens = 52
number of goats = 28
Given :
Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.
Her tips averaged 18% of the total amount spent by all the groups of customers that day.
To Find :
Brianna's tip income earnings on Friday.
Solution :
Total amount of money spent by 12 groups :
P = $ 12×186 = $2232 .
She got tip of 18% of the total amount spent by all the groups of customers.

Brianna's tip income earnings on Friday is $446.4 .
Hence, this is the required solution.
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,
P = 2L + 2W
Substituting the perimeter,
36 = 2L + 2W
Simplifying,
18 = L + W
The area is calculated by multiplying the length and width as below,
A = 80 = LW
Substituting the expressions,
80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.
Therefore, the dimensions of the rectangle are 8 m by 10 m.