Given:
The expressions are
(c) 
(d) 
To find:
The simplified form of the given expression.
Solution:
(c)
We have,
We know that, zero to the power of a non-zero number is always 1. So, 
Therefore, the value of the given expression is 1.
(d)
We have,
It can be written as
Therefore, the value of given expression is 
.
Answer:
15
Step-by-step explanation:
Answer: The company can build 10 child bikes and 12 adult bikes in the week .
Step-by-step explanation:
Let 'c' be the number of child bike and 'a' be the number of adult bike.
According to the problem
The restriction of building time for a week is 4c+6a≤120 hours.........(1)
and the restriction of testing time for a week is 4c+4a≤100 hours...............(2)
Lets check whether company can build c=10 and a=12 bikes in a week by putting this value in (1) and (2)
(1)......4(10)+6(12)=40+72=112≤120 ⇒Restriction of building time is satisfied.
(2)......4(10)+4(12)=40+48=88≤100⇒Restriction of testing time is satisfied.
Hence, the company can build 10 child bikes and 12 adult bikes in the week,as order is meeting with the restrictions.
Answer:
The equation is y = -x + 4
Step-by-step explanation:
This is a very trivial exercise:
The general equation of a line is given by:
y - y₁ = m(x - x₁)
where m = slope of the linear graph
From the given graph, it can be observed that the coordinate (x₁, y₁) and (x₂, y₂) are (0, 4) and (4, 0)
The slope, m = (y₂ - y₁)/(x₂ - x₁)
m = (0 - 4)/(4 - 0)
m = -4/4
m = -1
Substituting the values of (x₁, y₁) = (0, 4) and m = -1 into the general equation:
y - y₁ = m(x - x₁)
y - 4 = -1 (x - 0)
y - 4 = -x
y = -x + 4
