The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
Answer:
7
Step-by-step explanation:
The mode is the most repeated number in the data set. In this case, that is 7 because it's repeated 3 times.
Area of rectangle is the multiplication between the sides.
The first rectangle:
A = (2x + 5) . (3x - 2)
A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5
A = 6x² - 4x + 15x - 10
A = 6x² + 11x - 10
The second rectangle:
A = (5y + 5) . (2y - 3)
A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5
A = 10y² - 15y + 10y - 15
A = 10y² - 5y - 15
Answer:
d(4) = 64
Step-by-step explanation:
Using the recursive formula
d(n) = d(n - 1) + 17 with d(1) = 13, then
d(2) = d(1) + 17 = 13 + 17 = 30
d(3) = d(2) + 17 = 30 + 17 = 47
d(4) = d(3) + 17 = 47 + 17 = 64
Answer:
4in : 1ft
Step-by-step explanation:
We start with:
3/4 in = 3/16 ft
This means that the length of 3/4 inches is the same as the length of 3/16 feet.
To reduce this, we can start by dividing by 3 in both sides of the equation:
(3/4)/3 in = (3/16)/3 ft
1/4 in = 1/16 ft
Now we can multiply both sides by 16:
16/4 in = 16/16ft
4 in = 1ft
now we reduced the ratio to:
4in : 1ft