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3 years ago

What is the solution? x=? 2x+3=4x+2

Mathematics

2 answers:

Pie3 years ago

6 0

2x+3=4x+2

-2 both sides

2x+1=4x

-2x both sides

1=2x

2x=1

÷2 both sides

x=0.5 or 1/2

Alenkasestr [34]3 years ago

3 0

2x + 3 = 4x + 2

x= 0.5

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Factor the expression by finding the GCF. 16m2 − 12m

ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

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An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. 3/4 of this weight is metal and the rest is wood.

Troyanec [42]

Answer:

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight =

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

Step-by-step explanation:

8 0

3 years ago

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

lawyer [7]

Functions can be used to model real life situations.

The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee

The function is given as:

$f(x) =-0.3x^2 + 2x$

At a horizontal distance of 4 feet, the value of x is 4

i.e. $x = 4$

Substitute 4 for x in f(x).

So, we have:

$f(4) =-0.3(4)^2 + 2(4)$

Evaluate the exponent

$f(4) =-0.3(16) + 2(4)$

Open both brackets

$f(4) =-4.8 + 8$

Add -4.8 and 8

$f(4) =3.2$

Hence, the hose is 3.2 feet above the ground