Answer:
The answer to your question is:   y = -47x + 661
Step-by-step explanation:
Data
m = - 47         I wasn't sure if the slope was -47 or -4.
Point (14, 3)
Formula
(y - y1) = m(x - x1)
Process
                   (y - 3) = -47(x - 14)
                    y - 3 = -47x + 658
                    y = -47x + 658 + 3
                    y = -47x + 661
 
        
             
        
        
        
Answer:
(15,0)
Step-by-step explanation:
when we talk about x intercept, then you must remember that y will be zero
if you wanna find y intercept, the x will be zero
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.
 
        
             
        
        
        
Answer: 4 or 
To find the square root of a number, remember that there will be two factors that are the same that will give you the product.
Lets start from 1:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
As you can see, 4 x 4 is 16. To make sure I'm correct, remember that a square roots consists two identical factors. 
4 and 4 are the same numbers.
Therefore,  = 4
 = 4 
It can also be written as 
 
        
                    
             
        
        
        
Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8