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3 years ago

HELP

Mathematics

1 answer:

stira [4]3 years ago

7 0

Answer:

Step-by-step explanation:

The point slope form of the equation is $y-y_1 = m( x-x_1)$ where m is the slope and $(x_1,y_1)$ is a point on the line.

First find the slope by subtracting two points from the line.

$\frac{y_2-y_1}{x_2-x_1} = \frac{6--8}{-4-7} =\frac{14}{-11} =-\frac{14}{11}$

To write the equation substitute in:

$y-6 = -\frac{14}{11} (x--4)\\\\y-6 = -\frac{14}{11} (x+4)$

The answer is A.

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If a store credit account charges 1.5% interest each<br> month, what is the APR?

Anuta_ua [19.1K]

The APR is the annual percentage rate
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3 years ago

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Select the correct answer. Given the equations `9x + (3)/(4)y = 6` and `2x + (1)/(2)y = 9`, by what factor would you multiply th

Minchanka [31]

-3/2 is the factor would multiply the second equation to eliminate y.

The correct option is (C).

<h3>What is factor?</h3>

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given equation is :

9x+3/4 y =6

2x+1/2 y =9

If we have to eliminate the y variable so we have to multiply it by factor -3/2

Then the second equation become

-3/2(2x+1/2 y =9)

-3x- 3/4 y =- 27/2

As we can see the y variable of both the equation is same.

Hence, -3/2 is the factor would multiply the second equation to eliminate y.

learn more about this concept here:

brainly.com/question/24182713

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4 0

2 years ago

Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The

kap26 [50]

Answer. 4 hours

Step-by-step explanation:

48 + 8 + 8 + 8 + 8

$8 an hour and it $32 =4 hours and since they already using $48 for the movie if the they explore the town for 4 hours and then leave it will $80 in total spent

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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

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

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3 years ago

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Sati [7]

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This means she can buy no more than 8 cracker packs.

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4 years ago

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