Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Answer:
0333
Step-by-step explanation:
00
000
0000
1112222
______
11122222 ans
Answer:


Step-by-step explanation:
The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).
The slope of side AB is

The slope of side BC is

The slope of side CD is

The slope of AD is



We see that the opposite sides of the quadrilateral ABCD are equal.
Hence the quadrilateral is a parallelogram
Answer:
≈ 5
Step-by-step explanation:
<u><em>You can use the Pythagorean Theorem to solve this:</em></u>

<u><em>Now plug in the numbers into the formula:</em></u>

36 +
= 64
<u><em>Subtract 36 from both sides:</em></u>
36 +
= 64
-36 -36
_________
= 28
<em><u>Square both sides:</u></em>

b = 5.29
b ≈ 5
You can see that the price of the first pack is less than twice the price of the second whereas you get lot more than twice much more pencils for it (30>24) so the first deal is clearly way better.