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 !
Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10
∴ y=5
∴ the values of x and y are x=0 and y=5
Answer:
The answer is - sample.
Step-by-step explanation:
Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.
For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.
A sample is defined as a small part that shows what the whole population is like.
-x+4>-3x-4
+x +x
---------------------
4>-3x-4
+4 +4
----------------
8>-3x
/3 /3
----------------
8>2.7
x=2.7
Hope it helped!
Answer:
Minimum value of f(x) = -1.
Step-by-step explanation:
We convert it to vertex form:
x^2 - 6x + 8
= (x - 3)^2 - 9 + 8
= (x - 3)^2 - 1
The minimum value occurs when (x - 3)^2 = 0 because a square has a minimum value of zero ( it cannot be negative for real values of x).
So the function has a minimum value of -1.
