Help please math problem

1. 3x - 8 = 37 2. -6x + 13 = 31 3. 2 = -3x + 11 Please help me!

baherus [9]

Answer:

1 x=15

2 x=3

3 x=3

These are the answers

3 0

3 years ago

Read 2 more answers

Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 Preview

mario62 [17]

Answer: The required solution is

$y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$5y^{\prime\prime}+3y^\prime-2y=0,~~~~~~~y(0)=0,~~y^\prime(0)=2.8~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.$

So, the general solution of the given equation is

$y(t)=Ae^{-t}+Be^{\frac{1}{5}t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-Ae^{-t}+\dfrac{B}{5}e^{\frac{1}{5}t}.$

According to the given conditions, we have

$y(0)=0\\\\\Rightarrow A+B=0\\\\\Rightarrow B=-A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

and

$y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.$

From equation (ii), we get

$B=\dfrac{7}{3}.$

Thus, the required solution is

$y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.$

7 0

3 years ago

If w=the weight of a trout, which algebraic expression represents the phrase below?

ivann1987 [24]

Answer:

A

Step-by-step explanation:

The only option with multiplication represented is A.

6 0

3 years ago

Solve the system by the addition method 4x=3y-8 -16x+4y=32

butalik [34]

4x = 3y - 8
4    4
x = ³/₄y - 2

      -16x + 4y = 32
   -16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
      -12y + 32 + 4y = 32
      -12y + 4y + 32 = 32
      -8y + 32 = 32
   - 32 - 32
      -8y = 0
   -8 -8
   y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2

(x, y) = (-2, 0)

6 0

3 years ago

What is the degree of the monomial 9xy³z⁷

xxMikexx [17]

Answer:

the degree of the monomial is 11

Step-by-step explanation:

x = 1

y^3 = 3

z^7 = 7

add the exponents 1+3+7 = 11

5 0

4 years ago