Answer:
11/16
Step-by-step explanation:
The first thing I would do is see 11 times what will get me 33
The answer is 3
Next I would ask myself 48 divided by 3 is what
The answer is 16
To double check my work I would do 3 x 11 = 33
3 x 16 = 48
Answer:
Step-by-step explanation:
Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).
The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.
The method is called the pigeon hole method.
Answer:
132 degrees
Step-by-step explanation:
One sit of the 48 degrees is 48 degrees, so that opposite will be the same. Add them up, get 96. There is a full 360 degrees circle, so get 360 and subtract 96 from it, to get 264 degrees. That is the top and bottom angle of the right side, so just divide it in two
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Answer:
(X+9)(X+8)=0
X=-9,-8
Step-by-step explanation:
x^2+ 17x-12=-84
x^2+17x-12+84=0
x^2+17x+72=0
x^2+(9+8)X+72=0
x^2+9x+8x+72=0
X(X+9)+8(X+9)=0
(X+9)(X+8)=0
X=-9,-8
So the value of the X is -9,-8
