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Nastasia [14]
1 year ago
13

What is the solution of 5/2-7= 3/4x+14,

Mathematics
1 answer:
Sidana [21]1 year ago
3 0

Answer:

D) x = 12

Step-by-step explanation:

Given:

\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}

1. Multiply both sides by 4

\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56

2. Subtract 3x from both sides

\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56

3. Add 28 to both sides

\sf{7x-28+28=56+28}\\\\\implies 7x=84

4. Divide both sides by 7 to isolate the variable:

\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12

Learn more here:

brainly.com/question/27844194

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Solve the system of equations. x+2y=6; 3x-14y=8 please help
ira [324]
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18 - 6y + 14y = 8 so
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8 0
3 years ago
The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
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7nadin3 [17]

Answer:

First, write 80% as 80100. Then write an equivalent ratio that has the answer in the numerator and 200 in the denominator. 100 x 2 is 200, so 80 x 2 will be the answer. 80 x 2 = 160. The answer is $160.

3 0
2 years ago
Solve [(x+7) x 3-5] / 4 = 7<br> What is the first step in this equation
Nitella [24]

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

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-2x-14 / 4 = 7

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x = -21

PEMDAS

3 0
2 years ago
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