=18 sqrt2+15 sqrt2=33 sqrt 2
Answer:
f (x) = -2 (x + 6)^2 + 2
Step-by-step explanation:
f (x) = -2x^2 - 24x - 70 <--- divide out -2 out of the first two terms...
f (x) = -2 (x^2 + 12x) - 70 <-- divide the x coefficient by 2 and then square it, then add AND subtract it)
f (x) = -2 (x^2 + 12x + (12/2)^2 - (12/2)^2) - 70
f (x) = -2 (x^2 + 12x + 36 - 36) - 70 <--- distribute the -2 onto -36 to get it out of the brackets..
f (x) = -2 (x^2 + 12x + 36) + 72 - 70 <-- combine constants and factor perfect square trinomial...
f (x) = -2 (x + 6)^2 + 2 <-- standard form...
Answer:
B
Step-by-step explanation:
The equation is:
y = 2x + 3
Put x as 2.
y = 2(2) + 3
y = 4 + 3
y = 7
Put x as 3.
y = 2(3) + 3
y = 6 + 3
y = 9
Put x as 4.
y = 2(4) + 3
y = 8 + 3
y = 11
Put x as 5.
y = 2(5) + 3
y = 10 + 3
y = 13
Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.
Explanation:
From the given information,
Initial population = 1000
Increasing rate or growth rate = 30% every hour.
No of population increase in every hour is,
Total population after h hours is,
It is in the form of,
Where 
is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.
In the above equation 1000 is the initial population and 
is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.
Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.
Answer: x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(8−x)−32=98−5(3x+24)
Step 1: Simplify both sides of the equation.
4(8−x)−32=98−5(3x+24)
(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)
32+−4x+−32=98+−15x+−120
(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)
−4x=−15x+−22
−4x=−15x−22
Step 2: Add 15x to both sides.
−4x+15x=−15x−22+15x
11x=−22
Step 3: Divide both sides by 11.
11x
/11
=
−22
/11
x=−2
