Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is

This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:




The maximum value is 3
The function turns downward, hence the range is:

Answer:
4
Step-by-step explanation:
-3p+6+7p=22
-3p+7p=16
4p=16
p=4
Answer:
9*3.14=28.26
Step-by-step explanation:
Hope this Helps!
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
Answer:
Step-by-step explanation:
for right-angled triangle: a^2 + b^2 = c^2
given a = 5 n b = 10
c^2 = 5^2 + 10^2
= 25 + 100
= 125
c = sqrt(125)
= 5*sqrt(5)