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NARA [144]
3 years ago
15

What is the surface area of the rectangular prism? 528 cm 2 440 cm 2 404 cm 2 484 cm

Mathematics
2 answers:
olga2289 [7]3 years ago
4 0

Answer:

404 cm2

Step-by-step explanation:

.....

sashaice [31]3 years ago
3 0

Answer:

404 cm^2

Step-by-step explanation:

Hope this helps!

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Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
3 years ago
Please Help! I got an answer, but I think it's wrong.
Ghella [55]

Answer:

I am pretty sure u got it right

Step-by-step explanation:

:)

3 0
2 years ago
Read 2 more answers
Solve the value of x 5(2x+1)​
Margaret [11]
The value of x is -1/2

6 0
3 years ago
Sofia is making a copy of a ticket from the school play to put in her memory album. the original ticket is 7 inches long and 5 i
kotykmax [81]

Answer:

The scale of the copy of the ticket is \frac{2}{7}

Step-by-step explanation:

we know that

To find the scale divide the long of the copy of a ticket by the long of the original of a ticket

so

\frac{2}{7}

7 0
3 years ago
Jill is 4 years younger than half Janet’s age. If Janet is y years old, which expression describes how old Jill is?
balu736 [363]
The answer is A 1/2y -4
3 0
3 years ago
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