<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>
Answer:
0 < W < 50
Correct option: A
Step-by-step explanation:
<u>Domain of functions</u>
Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.
In this case, the area of a rectangle is given by the quadratic function.
Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when
Taking common factor W
Since W must be positive W>0
Or equivalently
The total interval is
Correct option: A
Please note: The real restriction should be
if we allowed the area to be positive, but I'm providing the most possible correct available option
Assuming you forgot the equal sign
y=|x|-6
test each
(x,y)
(-5,1)
1=|-5|-6
1=5-6
1=-1
fasle
(-1,-5)
-5=|-1|-6
-5=1-6
-5=-5
true
(5,-1)
-1=|5|-6
-1=5-6
-1=-1
the answer is
(-1,-5) and (5,-1)
Answer:
a. the Student's t-distribution with 124 degrees of freedom
Step-by-step explanation:
We have no information about the standard deviation of the population, just for the sample, which means that the student's t-distribution is used.
Degrees of freedom
Sample size subtracted by 1.
125 households were sampled.
125 - 1 = 124 degrees of freedom.
So the correct answer is:
a. the Student's t-distribution with 124 degrees of freedom
Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
Answer:
60
Step-by-step explanation:
After adding 88 red marbles, there are 50 blue marbles out of the 204 marbles total.
Let the number of blue marbles to be added be x.
