The best way to tackle this is to put the answer that you know into a binomial factor. So the solution is x = 4. The binomial factor is (x - 4)
Now you can set up the other binomial factor. You have been given a huge hint. The third term is 28 and one of it's 2 factors is 7. So this is what you know so far
(x - 4)( x 7) But what is its sign? The 28 is positive. So the 7 must be minus giving you
(x - 4)(x - 7) Are we done yet? No There's a 3 on the x^2. Does the 3 go with the x on (x - 4) or does the 3 go with the (x - 7)? We have been told that (x - 4) is one of the factors. No mention of a three. So we should try x - 7 first and write it like this.
(x - 4)(3x - 7)
I think if you remove the brackets, you will find that the middle term is - 19 (-12 - 7 = -19 ) which is exactly what it should be.
Answer (x - 4)(3x - 7)
We have the equation:
h ( x ) = 4 x² - 16
When shifted 5 units right:
h ( x ) = 4 ( x - 5 )² - 16
And shifted 2 units down:
h ( x ) = 4 ( x - 5 )² - 16 - 2 = 4 ( x - 5 )² - 18
Answer:
The new equation is: h ( x ) = 4 ( x - 5 )² - 18.
Answer:
x=-1 2/13
Step-by-step explanation:
Answer:
y=10x+15
Step-by-step explanation:
The slope intercept form is represent by this equation
Where m is the slope, and b is the y intercept( when x is zero).
Looking at the graph, we already found the y intercept.
When x=0, y is at 15 so our y intercept is 15 so our equation updated look like
Now let find the slope
Slope is
Let use two arbitrary points to find the slope
Let use (3,45) and 6,75).
So our slope is 10 so our equation look like
