Answer:
The function has a domain of all real numbers.
The function has a range of {y|–∞ < y <∞ }.
The function is a reflection of y=∛x
Step-by-step explanation:
Given:
f(x)=-∛x
domain is set of all values that x can take for which the function is defined, so
for above function domain= set of all real numbers
range is set of values that corresponds to the set of values of domain, so for given f(x) range={y|–∞ < y <∞ } set of real numbers
Now f(x)=-∛x hence its reflection will be
-f(x)=-(-∛x)
y=∛x !
Amount of Interest = $36
Rate of interest = 3% per annum
Total time period for which the money was invested = 3 years
Let us assume the Principal amount = x
Then
Interest = Principal * Rate of Interest * time
36 = x * 3% * 3
36 = 9x/100
36 * 100 = 9x
3600 = 9x
x = 3600/9
= 400
So the initial sum of the money that was invested was $400.
Answer:
y<−1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−3y>3
Step 2: Divide both sides by -3.
−3y
−3
>
3
−3
=y<-1
Answer:
Square=5
Triangle=17
Circle=8
Step-by-step explanation:
s=square, c=circle, t=triangle
What each column tells us:
2t+2c=50
3s+t=32
c+2s+t=35
What each row tells us:
2t+c=42
c+2s=18
t+2s=27
c+s+t=30
Solve for s and t:
We will use 3s+t=32 and t+2s=27 to find s and t.
3s+t=32
t=32-3s
Plug in 32-3s for t and solve for s.
(32-3s)+2s=27
32-s=27
-s=27-32
s=5
Square=5
Plug in 5 for s and solve for t.
t+2(5)=27
t+10=27
t=17
Triangle=17
Use c+s+t=30 to find c:
Plug in 5 for s and 17 for t.
c+5+17=30
c+22=30
c=8
Circle=8
Answer:
7 hours
Step-by-step explanation:
Because ten minus two is seven
