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marta [7]
3 years ago
10

How many solutions exist for the given equation? 0.75(x+40)=3(4x+1)-2

Mathematics
2 answers:
AveGali [126]3 years ago
6 0
The given equation is
0.75(x + 40) = 3(4x + 1) - 2

Expand the equation.
0.75x + 30 = 12x + 3 - 2
0.75 - 12x = 3 - 2 - 30
-11.25x = -29
x = -29/-11.25 = 2.5778

Answer: There is 1 solution, which is 2.5778.

maw [93]3 years ago
4 0
Let's eliminate the fractional multiplier 0.75.  To do this, mult the entire equation by 4/3:

x+40 = (4/3)(3)(4x+1) - 2(4/3)

(4/3)(3) simplifies to just 4, so now we have:

x+40 = 4(4x+1) - 8/3

Mult. all 3 terms by 3 to eliminate the fraction:

3x + 120 = 12(4x+1) - 8

Perform the multiplication:

3x + 120  = 48x + 12 - 8,            or            116 = 45x

Solving for x,    x = 2.578, or     x = 7/90 (answer)


We could also simplify the original equation,  <span>0.75(x+40)=3(4x+1)-2, by multiplying all 3 terms by 100:

75x + 3000 = 1200x + 300 - 200

Then 3000 - 300 + 200 = 1125x, and x = 7/90 (same as before)</span>
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33+34+35 = 102

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Para el diseño de un tanque de tratamiento de agua se determina que su centro está ubicado en la posición (0;14) metros y está r
Andreas93 [3]

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Diámetro = 8 metros

Step-by-step explanation:

La ecuación de la circunferencia esta en la forma general y para identificar su centro y su radio debemos llevarla a la forma canónica completando cuadrados:

x^{2} +y^{2} -28y + 180= 0

Solo necesitamos completar cuadrados en la variable y, sumando a ambos lados de la ecuación 196, que resulta de dividir 28 entre 2 y elevarlo al cuadrado

x^{2} +y^{2} -28y + 196 = -180 +196

Entonces obtenemos

x^{2} + (y-16)^{2} = 16

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7 0
3 years ago
A basketball court is a rectangle. If a court measures 60 feet by 40 feet, what is the length of the diagonal from one corner of
alexdok [17]
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2 years ago
Let m = X^2 + 3.
Tpy6a [65]

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

            and m= X^2 + 3.

make the given equation in the form X^2 + 3,

             now,

                     (x^2+3)^2+7x^2+21=-10

                     (x^2+3)^2+7(x^2+3)=-10

             where,

                      X^2 + 3= m

              after putting the value or replacing the values

             we get, m^2+7m=-10

                      m^2+7m+10=0

          the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

Leran more about substitution here:

brainly.com/question/24094293

#SPJ1

4 0
1 year ago
Write an equation of the line that passes through the origin and
Vanyuwa [196]

Answer:

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Step-by-step explanation:

Parallel lines have the same slope, so the slope of this new line will be the same as the given one.

For a line to pass through the origin it needs to have a y intercept of 0, because the origin is the point (0,0).

6 0
3 years ago
Read 2 more answers
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