Answer:
A)16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Answer: OPTION C
Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.
Therefore, you have:

Now, you must apply the distributive property, therefore, you obtain:

As you can see, the answer is the Option C.
Answer:
1 Original amount: 20
End amount: 15
<h3>(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease</h3>
2 Original amount: 30
End amount: 45
<h3>
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase </h3>
3 Original amount: 625
End amount: 550
<h3>
550/625 =550 ÷ 625 =0.88</h3><h3>
0.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease</h3>
4 Original amount: 320
End amount: 112
<h3>
(112-320):320x100 =</h3><h3>
100 =(112:320-1)x100 =</h3><h3>
100 =35-100 = -65% decrease</h3>
5 Original amount: 165
End amount: 222.75
<h3>
165/222.75 =165 ÷ 222.75 ≈0.740740740740741</h3><h3>
0.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase </h3>
6 Original amount: 326
End amount: 423.80
<h3>
(423.8-326):326x100 =</h3><h3>
100 =(423.8:326-1)x100 =</h3><h3>
100 =130-100 = 30% Increase </h3>
7 Original amount: 27
End amount: 38.61
<h3>
(38.61-27):27x100 =</h3><h3>
100 =(38.61:27-1)x100 =</h3><h3>
100 =143-100 = 43% Increase</h3>
8 Original amount: 60
End amount: 70.02
<h3>
(70.02-60):60x100 =</h3><h3>
100 =(70.02:60-1)x100 =</h3><h3>
100 =116.7-100 = 16.7% Increase</h3>
Answer:
either negative or positive integer
hope that helps uhh :)