<BAC is 35 because "the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices" or 180-120= 60 so <BCA is 60 and angles in a triangle add to 180 so 180-(85+60)=35

7 0

4 years ago

Read 2 more answers

If f(4) = 7 and f '(x) ≥ 1 for 4 ≤ x ≤ 9, how small can f(9) possibly be?

Paladinen [302]

Well if the slope is greater than or equal to 1 over that range then the smallest f(9) will be is when the slope is 1. So if we have a slope of one, then f(9) will be 12.

7 0

4 years ago

Given p(x)=3x^5+2x^2-5, what is the value of the function at -5/3

lbvjy [14]

Answer:

$-\frac{3080}{81}$

Step-by-step explanation:

The given function is:

$p(x)=3x^{5}+2x^{2}-5$

We have to find the value of the function at x = -5/3

In order to do this we need to replace every occurrence of x in the given function by -5/3. i.e.

$p(-\frac{5}{3})=3(-\frac{5}{3})^{5}+2(-\frac{5}{3} )^{2}-5\\\\ p(-\frac{5}{3})=3(-\frac{3125}{243} )+2(\frac{25}{9} )-5\\\\p(-\frac{5}{3})=-\frac{3125}{81}+\frac{50}{9}-5\\\\ p(-\frac{5}{3})=-\frac{3080}{81}$

Thus, the value of the function at x =-5/3 is $-\frac{3080}{81}$

3 0

3 years ago