All categories

2 years ago

The solution set of 2-3x/4-8=3x/4

Mathematics

2 answers:

deff fn [24]2 years ago

6 0

Step-by-step explanation:

$\\ \tt{:}\leadsto \frac{2 - 3x}{4 - 8} = \frac{3x}{4} \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\ \tt{:}\leadsto 8 - 2x = - 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{:}\leadsto 8 = - 12x + 2x \\ \\ \tt{:}\leadsto 8 = - 10x \\ \\ \tt{:}\leadsto x = \frac{ - 10}{8} \\ \\ \tt{:}\leadsto x = \frac{ - 5}{4}$

abruzzese [7]2 years ago

3 0

Answer:

x=-1

Step-by-step explanation:

2-3x/4-8=3x/4

bring all variables to one sides and the non variable to the other

-3x/4-3x/4=-2+8

Simplify

-3x/2=6

Bring 2 to the other side

-3x= 6/2

-3x=3

Bring -3 to the other side

x=3/-3

x=-1

You might be interested in

What is the exact volume of the cylinder?

AURORKA [14]

Answer:

1178.25cm^3

Step-by-step explanation:

Volume of a cylinder is given as V = Pi x r^2 xh

PI= 3.142

R = 5cm

H=15cm

So volume = 3.142 x 5cm x 5cm x 15cm

= 1178.25cm^3

4 0

2 years ago

Find the area of this shape.

skad [1K]

Answer:

Step-by-step explanation:

Firat triangle has a=4cm and b=a and P1=a*b/2=4*4/2=8cm^2

First parallelogram has h=4cm (from first triangle) and a=5.7cm

P2=a*h=22.8cm^2

Big triangle has h=4 and a=5.7+4=9.7

P3=a*h/2=9.7*4/2=19.4

And 4th triangle has the same are lik the first one, P4=8.

P=8+22.8+19.4+8=58.2cm^2

7 0

3 years ago

F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).

MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

$3x^{2} +12x$

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

To know more about value here

brainly.com/question/20562282

#SPJ1

8 0

7 months ago

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

2 years ago

Could y’all help? thank you

Anna11 [10]

7,9,10 in that order in the y portion on the chart are the answers then use the x and y answers as graphing points for example the first one your going to graph is (3,7)

8 0

2 years ago

Read 2 more answers

The solution set of 2-3x/4-8=3x/4​

The solution set of 2-3x/4-8=3x/4