Answer: x=0 or x= plus or minus 2
Step-by-step explanation:
g(x)=x^4-8x^2+7
Critical numbers are the numbers where the first derivative is zero
g'(x)=4x^3-16x+0
=4x^3-16x
g'(x)=0
Implies
4x^3-16x=0
4x(x^2-4)=0
4x=0 OR x^2-4=0
x=0 or x^2=4
x=0 or x= plus or minus 2
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
Answer:
3:10
Step-by-step explanation:
1. Find the total number of students by doing
14 + 6= 20
2. Now make your ratio
6:20
3. To make it in simplest form, divide both sides by 2
6 divided by 2 is 3
20 divided by 2 is 10
4. Your answer is
3:10
5x can be written as x + x + x + x + x
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet