First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer
Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form
Answer:
33.3333% decrease
Step-by-step explanation:
Percent change formula: , where x is the new value and y is the starting value.
Plug in values and solve:
-33.3333% change, or a 33.3333% decrease.
Answer:
3rd option; 4 corners called vertices
Step-by-step explanation:
self-explanatory
Answer:
y = -6x -9
Step-by-step explanation:
The derivative is ...
f'(x) = 2x
so the slope at x=-3 is ...
f'(-3) = 2(-3) = -6
Then the point-slope form of the tangent line can be written ...
y = m(x -h) +k . . . . . . for line with slope m through point (h, k)
y = -6(x -(-3))+9 = -6x -18 +9 . . . . . filling in your values, eliminating parens
So, the slope-intercept equation of the tangent line is ...
y = -6x -9