A.
x ≤ 4
B.
0 ≤ x ≤ 4
C.
all real numbers
D.
x ≥ 0
The domain of the function represented by the given graph is option B: 0 ≤ x ≤ 4.
A parabola is a U-shaped curve, and in this case, it opens upwards since the coefficient of the squared term is positive. As the parabola is symmetric, it will extend indefinitely in both directions. Therefore, the parabola includes all real numbers.
However, the domain of the function represented by this graph is limited. The function is defined for all x-values along the parabola. Still, it may not be defined for x-values that lie beyond the points where the parabola intersects the x-axis.
Since the points of intersection are (0, 0) and (4, 0), we can conclude that the function is only defined for x-values between 0 and 4, inclusive. This is because any x-value less than 0 or greater than 4 would lie outside the range of the parabola, and the function would not be defined at those points.
So, the correct answer is option (b).
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Answer:
Your answer is C...............
Answer:
subtraction & multiplication
Step-by-step explanation:
1. We assume, that the number 312 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 312, so we can write it down as 100%=312.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=312
2) x%=78
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=312/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 78 is what percent of 312
100%/x%=312/78
(100/x)*x=(312/78)*x - we multiply both sides of the equation by x
100=4*x - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25
now we have:
78 is 25% of 312
It is to be noted that 171 divided by 9 equals 19. This is a division prompt.
19
___________
9 | 171
- 9
-----
81
- 81
-----
0
Therefore, 171 divided by 9 equals 19.
Note that division is a mathematical operation that involves dividing a number (the dividend) by another number (the divisor) to find the quotient.
The quotient represents the result or answer obtained from dividing the dividend into equal parts determined by the divisor.
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