Answer:
wish i could (┬┬﹏┬┬)
Step-by-step explanation:
There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer:
B, C, E
Step-by-step explanation:
Got it right on edge
4tan^(2)x-((4)/(cotx))+sinxcscx
Multiply -1 by the (4)/(cotx) inside the parentheses.
4tan^(2)x-(4)/(cotx)+sinxcscx
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin...
Complete the multiplication to produce a denominator of cotx in each expression.
(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot...
Combine the numerators of all expressions that have common denominators.
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>
Answer:
6 or -6
Step-by-step explanation:
- 65% of 40=26
- 4/5 of 40=32
- 32-26=6
- (or if you start with 26)
- 26-32=-6