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wolverine [178]

3 years ago

15

Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

1 answer:

blondinia [14]3 years ago

6 0

Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11

Therefore, the integers are 11 and 12.

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What equation is graphed in this figure? y = -x + 2 y = -x + 3/2 y = 3/2x + 1 y = -3/2x + 1

Digiron [165]

The answer is:

y = -3/2x + 1

6 0

3 years ago

Use the product of 123 x 47 to find the product of 123 x 0.47. Explain the difference in the two products.

bearhunter [10]

123 x 47 equals 5781. 123 x .47 equals 57.81. The difference is the decimal is moved to the tenth place in the second equation

3 0

2 years ago

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Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

6 0

3 years ago

Read 2 more answers

If f(x) = 1/9 x - 2, what is f-1 (x)

Snowcat [4.5K]

$f(x) = \frac{1}{9} x - 2 \\$

$f( - 1) = \frac{1}{9} ( - 1) - 2 \\$

$f( - 1) = - \frac{1}{9} - 2 \\$

$f( - 1) = - \frac{1}{9} - \frac{18}{9} \\$

$f( - 1) = - \frac{19}{9} \\$

6 0

2 years ago

What is the answer to <br> 2/5x >7

goblinko [34]

X>35/2

That’s the answer

7 0

2 years ago