Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Hi!
Let's put the values in the equation.
10 · 5 + 16 ÷ 4 = ?
Using PEMDAS...
Multiplication
50 + 16 ÷ 4 = ?
Division
50 + 4 = ?
Addition
54
The answer is 54
Hope this helps! :)
First, we need to understand the speed formula:
The time used = distance ÷ rate
In this case, the time needed would be:
5 1/5 ÷ 2 1/6
= (5×5+1)/5 ÷ (2×6+1)/6
=26/5 ÷ 13/6
When there is division in an equaiton, we can swap the nominator and denominator of the fraction amd change it to multiplication:
=26/5 × 6/13
= (13 x 2)/5 x 6/(13 x 1)
Factorize 26 and 13,we get:
=2/5 x 6/1
= 12/5 ft or 2.4 ft
Therefore the answer is 12/5ft or 2.4ft.
Hope it helps!
Answer:
c and d
Step-by-step explanation:
they both have a percent increase >50