Answer:
The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8
when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)
Answer:
21
Step-by-step explanation:
You add up the two people until u get the number 259
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

at the point (x,y) gives the direction of maximum rate of increasing

at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

at the point (-3,-2) minus the gradient equals

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.
Answer:
odd
Step-by-step explanation:
Just so you know there are shortcuts for determining if a polynomial function is even or odd. You just to make sure you use that x=x^1 and if you have a constant, write it as constant*x^0 (since x^0=1)
THEN!
If all of your exponents are odd then the function is odd
If all of your exponents are even then the function is even
Now you have -4x^3+4x^1
3 and 1 are odd it is an odd function
This a short cut not the legit algebra way
let me show you that now:
For it to be even you have f(-x)=f(x)
For it be odd you have f(-x)=-f(x)
If you don't have either of those cases you say it is neither
So let's check
plug in -x -4(-x)^3+4(-x)=-4*-x^3+-4x=-4x^3+-4x
that's not the same so not even
with if we factor out -1 .... well if we do that we get -(4x^3+4x)=-f(x)
so it is odd.
Answer:
Yes, they are congruent. Theorem: SSS
Step-by-step explanation:
The triangles are congruent because it is given that they have 2 sides that are the same (hence the matching tick marks). In the diagram, you can also see that they share a side. Since all three sides on both triangles are the same, the two triangles are congruent by the SSS theorem.