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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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In right triangle JFK sin(52)= cos(5x-2). What is the measure of the smallest angle in the triangle?
jeyben [28]

Answer:

48°

Step-by-step explanation:

Given the trigonometry equation

sin(52)= cos(5x-2)...1

According to the quadrant:

Sin(θ) = cos(90-θ)

Sin52 = cos(90-52)

Sin52 = cos48... 2

Substituting 2 into 1:

Cos48 = cos(5x-2)

48 = 5x-2

5x = 48+2

5x = 50

x = 10°

The smallest of the angle will be angle 5x-2 = 5(10)-2

= 50-2

= 48°

7 0
3 years ago
The moment generating function for health care costs experienced by a policyholder is given as follows:
Kaylis [27]

Answer:

0.525 = 52.5%

Step-by-step explanation:

Moment generating function ( Mx(t) ) = ( 4 / 4-t)^3

Reimbursement by Insurer = 70%

<u>Determine the expected reimbursement by insurer for policyholder</u>

 d/dx (Mx(t) ) = d/dt ( 4 / 4-t)^3 = d/dt (1 - t/4 )^-3

                                                 = 3/4 ( 1 - t/4 )^-4 =  3/4

as t → 0

Given that the insurer reimburses 70% = 0.7

expected reimbursement = 0.7 * 3/4  = 0.7 * 0.75 = 0.525

6 0
2 years ago
A frame is 45 in. By 32 in. How many square feet are in the área of this frame ?
Alinara [238K]
Your answer would be 1,440 because 45×32= 1,440.
3 0
2 years ago
How do you solve this linear systems of equations?<br> x+3y−z=24<br> x+2y+5z=13<br> x+z=12
ale4655 [162]
I hope this helps you

6 0
3 years ago
Aiden has some $1 bills and $5 bills. He has 6 bills worth $22 total in his wallet. How many $1 bills does he have?
xxMikexx [17]
Four $5 bills and two $1 bills
In total it’s six bills
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5 0
3 years ago
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