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AlekseyPX
3 years ago
9

Evaluate the expression when x=-5. Huiles x2 +8x+2

Mathematics
2 answers:
IgorC [24]3 years ago
5 0

Answer:

52

Step-by-step explanation:

(2×5)+(8×5)+2

10+40+2

52

Alekssandra [29.7K]3 years ago
3 0

Answer:

52

Step-by-step explanation:

5*2+8*5+2=52

Evaluation simplified

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If they’re all weighted equally, then your average grade will be 79.9%
8 0
3 years ago
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
6.7-3^2.9+4^3 evaluate the expression. show your work on a piece of paper.<br><br> 50+ points~!
vovangra [49]

Answer:

25

Step-by-step explanation:

6.7 -  {3}^{2} .9 +  {4}^{3}  \\  \\  = 42 - 9.9 + 64 \\  \\  = 42 - 81 + 64 \\  \\ =  106 - 81 \\  \\  = 25

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2 years ago
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A system of equations and its solution are given below.
ddd [48]

Answer:

a would be correct

Step-by-step explanation:

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Divide p(x)=x^3-4x^2+x+6 by (x-3). Find the remainder and the quotient.
klemol [59]

Answer:

Quotient is <u>x²</u><u> </u><u>-</u><u> </u><u>x</u><u> </u><u>-</u><u> </u><u>2</u>

<u>Remainder</u><u> </u><u>is</u><u> </u><u>0</u>

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3 years ago
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