If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
She has 4 choices. draw the tree diagram like this:
cheese,tomato
cheese,lettuce
cheese,ham
tomato,cheese
tomato,lettuce
tomato,ham
lettuce,cheese
lettuce,tomato
lettuce,ham
ham,cheese
ham,tomato
ham,lettuce
if you still dont understand look up on google images tree diagram
comment back if you have any questions, im always online
Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1=
=
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get 
k=17
<span>f(x)=3x−1
</span><span>domain is {-1, 0, 1}
3(-1) -1 = -4
3(0) - 1 = -1
3(1) - 1 = 2
Range { -4, -1, 2}</span>
