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3 years ago

Find the slope and the y-intercept of the graph of y = -5 - 1/2x

Mathematics

2 answers:

Margaret [11]3 years ago

5 0

Answer:

slope is -1.2

y intercept is (0,-5)

Step-by-step explanation:

y=mx+b

m is slope

b is y intercept

ololo11 [35]3 years ago

3 0

Slope: − 1 /2

y-intercept: ( 0 , − 5 )

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Which of the following angles is not coterminal with the other three?

jekas [21]

9514 1404 393

Answer:

b. 17°

Step-by-step explanation:

All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.

17° is the odd angle

When you compute ...

mod(angle, 360), you get 163, 17, 163, 163.

4 0

3 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

3 years ago

(4 x 300) + (4 x 25)

Dominik [7]

Answer:

1,300

Step-by-step explanation:

Order of operations tells us that we should do everything in parentheses first.

Multiplying out (4 x 300) and (4 x 25) gets

1200 + 100

From here, we add the two together to arrive at

1,300

3 0

3 years ago

Read 2 more answers

Simplify 9x + 4y -4y -3x +5y

irinina [24]

9x+2y

Hope that helps :)

5 0

3 years ago

Help pleaseeeeeee !!!

xxMikexx [17]

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

5 0

3 years ago

Read 2 more answers