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3 years ago

Y=4x+1, 2x+y=37 substitution

Mathematics

1 answer:

VLD [36.1K]3 years ago

4 0

Answer:

x = 6 and y = 25 → (6, 25)

Step-by-step explanation:

Substitute y = 4x + 1 to the equation 2x + y = 37:

2x + (4x + 1) = 37

(2x + 4x) + 1 = 37 subtract 1 from both sides

6x = 36 divide both sides by 6

x = 6

Pyt the value of x to the first equation:

y = 4(6) + 1

y = 24 + 1

y = 25

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Help please word problem...show work please

Alona [7]

A) you must plug in 50 for variable F and solve for C

C= $\frac{5}{9}$ (50-32)
C= $\frac{5}{9}$ (18)
C= 10
50 degrees fahrenheit is equal to 10 degrees celsius

B) you must solve the equation for F

C= $\frac{5}{9}$ (F-32)
C/ $\frac{5}{9}$ =F-32
C/ $\frac{5}{9}$ +32=F
F= C/ $\frac{5}{9}$ +32

dividing by a fraction is the same as multiplying buy its reciprocal so it can also be written as

F= $\frac{9}{5}$ C +32

now you just plug in 50 for the variable C in the new equation

F= $\frac{9}{5}$ (50) +32
F= 90 + 32
F= 122

50 degrees celsius is equal to 122 degrees fahrenheit

hope this helped!

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3 years ago

Find the area of each. Use your calculator's value of p. Round your answer to the nearest tenth.

Neko [114]

Answer:

22/7*11*11=38.285

this must be ans

8 0

2 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

3 years ago

Estimated the difference 825 round subtract the rounded numbers 213 rounds to

boyakko [2]

Answer:

600

Step-by-step explanation:

Given,

Numbers are 825 and 213.

If the number are equal or greater than 50 then one number will be rounded up. if the number is less then it will rounded down.

Like in this case 25 and 13 are less than 50 so, they will not rounded up.

825 will be rounded to 800.

213 will be rounded to 200.

Subtraction of number

= 800 - 200 = 600

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3 years ago

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PSYCHO15rus [73]

Answer:

Step-by-step explanation:

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3 years ago