If you have a function y = f(x), the transformation along the x-axis is given by:
y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units
So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
Answer:
Step-by-step explanation:
For equating the equations, you get
x2 + kx - 3x + 4 = 0 eq1
Setting the derivative of f(x) equal to 3 yields
f'(x) = 3
2x + k = 3 eq2
Now we substitute the value of k from eq2 into eq1.
x2 + x(3 - 2x) - 3x + 4 = 0
Solve for x from this equation. Then plug in the value of x into eq2 to solve for k
Answer:
D) 3 X 10⁷
Step-by-step explanation:
<u>Estimated days:</u>
- Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days
- 1 day = 24 hours = 24*60 minutes = 24*60*60 seconds =
- 548 days = 548 * 86400 seconds =
Best estimate is D) 3 X 10⁷
Answer:
30
Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.
In this case,
AOC & DOB are vertically opposite angles so both of them are 2x°
EOD & COF are vertically opposite angles so they are both 3x°.
FOB & EOA are vertically opposite angles so they are both x°.
Adding the values of all 6 angles, we get:
3x + 3x + 2x + 2x + x + x = 12x
We also know that
12x = 360°
x = 30°
Answer:
A. 
Step-by-step explanation:
