Answer: y=4
Step-by-step explanation:
In order to find y axis interception , you need to substitute the x=0 into your equation, by doing this you get 3*2^(0)+1 which is eventually equals to 4
 
        
             
        
        
        
4x^2 + 5x - 6 = (4x - 3) (x + 2) 
You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2
Then you have to make (x- 3/4) = 0 and (x +2 ) = 0
When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.
Answer: option b: (4x -3)(x + 2)
        
                    
             
        
        
        
Answer:

Given:
F = MA
F = 10
M = 2.5
To Find:
Value of A
Step-by-step explanation:









 
        
                    
             
        
        
        
Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6       [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
 
        
             
        
        
        
9514 1404 393
Answer:
   517 minutes
Step-by-step explanation:
There are 60 minutes in an hour, so 8×60 = 480 minutes in 8 hours.
In 8 hours 37 minutes, there are ...
   480 min + 37 min = 517 minutes