Answer:I’m gonna say 2
Step-by-step explanation:
photo math helped me get the answer and if u look closely u can see theres a positive and a negative in that chart hope this helps
Answer:
B
Step-by-step explanation:
-6 10n to the 5 11n to the 3
you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together
Answer:
x =3, y =3
Step-by-step explanation:
From the second equation( y= -x+6) we can get x alone.
Subtracting 6 from both sides we get, y-6 = -x
And then dividing both sides by -1, -y+6 = x
Then we can substitute this value of x into the first equation.
y = 2(-y+6) +3
Simplifying,
y = -2y + 12+ 3
3y = 15
y = 3
Substituting this back into second equation we get 3 = -x + 6
and -x = -3
Dividing both sides by -1,
we get x =3
Hello!
To find the slope of the given equation, we would need to convert this equation from standard form into slope-intercept form. Our goal, is to get the variable y, on one side of the equation.
Remember that slope-intercept form is written as y = mx + b. In this form, m is the slope and b is the y-intercept.
2x + 4y = 12 (subtract 2x from both sides)
4y = 12 - 2x (divide both sides by 4)
y = 12/4 - 2/4x → y = -1/2x + 3
Therefore, the slope of this equation is -1/2, which is the final choice listed.
Hmm, the 2nd derivitve is good for finding concavity
let's find the max and min points
that is where the first derivitive is equal to 0
remember the difference quotient
so
f'(x)=(x^2-2x)/(x^2-2x+1)
find where it equals 0
set numerator equal to 0
0=x^2-2x
0=x(x-2)
0=x
0=x-2
2=x
so at 0 and 2 are the min and max
find if the signs go from negative to positive (min) or from positive to negative (max) at those points
f'(-1)>0
f'(1.5)<0
f'(3)>0
so at x=0, the sign go from positive to negative (local maximum)
at x=2, the sign go from negative to positive (local minimum)
we can take the 2nd derivitive to see the inflection points
f''(x)=2/((x-1)^3)
where does it equal 0?
it doesn't
so no inflection point
but, we can test it at x=0 and x=2
at x=0, we get f''(0)<0 so it is concave down. that means that x=0 being a max makes sense
at x=2, we get f''(2)>0 so it is concave up. that means that x=2 being a max make sense
local max is at x=0 (the point (0,0))
local min is at x=2 (the point (2,4))
