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emmainna [20.7K]
3 years ago
13

Is x+2 a factor of 3x^4+7x^3+3x^2-x-4?

Mathematics
1 answer:
Serhud [2]3 years ago
4 0
Lets check by putting x= - 2
3x^4+7x^3+3x^2-x-4=0
3(-2)^4+7(-2)^3+3(-2)^2+2-4=0
3*16-56+12-2=0
48-56+10=
2=0 No
x+2 is not a factor

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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
As part of a survey, 150 students were asked to name their favorite class. 50 points
disa [49]
A:40%
If you put 60 over 150 and x(percent of students) over 100 and cross multiply 100 and 60, you will get 6000. You then divide that by 150 which leaves you with 40 as x and 40 over 100 is 40%.
5 0
2 years ago
In a right triangle, &lt;A and &lt;B are acute. Find the value of sin A, when tan A = 8/15​
finlep [7]

Answer:sinA=8/17

Step-by-step explanation:

Using Pythagoras principle

x=√(15^2+8^2)

x=√(15x15+8x8)

x=√(225+64)

x=√(289)

x=17

SinA=opposite/hypothenus

SinA=8/17

3 0
3 years ago
CAN SOME ONE HELP ME ITS URGENT
aniked [119]

As we can observe from given information,

  • UT = ST

  • 2x + 5 = x + 12

  • 2x - x = 12 - 5

  • x = 7

now, let's solve for y

  • RU = RS

  • y - 4 = x + 5

  • y - 4 = 7 + 5

  • y = 12 + 4

  • y = 16

hope it helped...

5 0
3 years ago
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