Answer:
c. 25
Step-by-step explanation:
(f ∘ g)(-2) = f(g(-2)) = f(-2-3) = (-5)² = 25
For this problem, it seems to work best to evaluate g(-2), then evaluate function f on that. (In other cases, it might be useful to simplify the composite function first.)
First combine like terms and put the expression in standard form. This expression is now in simplest form and cannot be simplified anymore.
3a + 10ab - 7a^2b - 10ab^2 + 12ab - (-4) + (-a^2b) - 5a
-10ab^2 - 8a^2b -2a + 24ab - (-4)
Hope this helps
Answer:
Step-by-step explanation:
24 x 23 = 552
20 x 23 = 460
4 x 23 = 92
460 + 92 = 552
Answer:
See attached. Line for x<5.
Step-by-step explanation:
Solve the equation for x. Remember that the "<" and ">" signs are reversed when dividing or multiplying by a negative value.
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e
-------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.