<span>2x squared - 5
= 2(x)^2 - 5
= 2(4)^2 - 5
= 2(16) - 5
= 32 - 5
= 27</span>
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
Putting the value of x from above equation in equation (1),
Now put the value of y in equation (1), so,
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
A population of size P increasing at the rate of 2% may be modelled as follows
P = P0<span> e</span>0.02 t<span> , where t is the number of years after t = 0 and P</span>0<span> is the population at t = 0. </span>
Let t = 0 corresponds to January 1, 2000 and therefore t = 4 corresponds to December 31. But P is 2,000,000 when t = 4. Hence
2,000,000 = P0<span> e</span>0.02*4
<span>Solve the above for P0</span>
P0<span> = 2,000,000 / e</span>0.02*4<span> = 1 846 000 (rounded to the nearest thousand) </span>
<span>P0 is the population at t = 0 or on January 1, 2000.
A. is the correct answer</span>
Translation of the graph:
y = ( x + 3 )² - 2 to y = ( x - 2 )² + 2
The equations are in the form: y = a ( x - h )² + k
- 2 → 2 ( up 4 )
- 3 → 2 ( 5 to the right )
Answer:
The translation is
A ) up 4 and 5 to the right