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3 years ago

3(x - 1) - 8 = 4(1+x) + 5

Mathematics

2 answers:

valina [46]3 years ago

7 0

Answer:

x= 20

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

3x-1(3)-8= 1(4)+4x+5

Step 2- Multiply

3x-3-8= 4+4x+5

Step 3- Add.

3x-3-8= 4x+9

Step 4- Subtract 3x to both sides to move the variable to one side.

3x-11= 4x+9

-3x -3x

Step 5- Subtract 9 to both sides.

-11= 1x+9

-9 -9

-20= x

Exchange the signs.

20= x

Maurinko [17]3 years ago

3 0

Answer:

x = -20

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5

3x - 3 -8 = 4 + 4x + 5

3x - 11 = 9 + 4x

-x = 20

x = -20

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Match the term with the definition.

maria [59]

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A line is a one dimensional figure that is formed by joining an infinite set of points.
It has no start and no end.
Answer:
Line ..............> A) infinite number of points extending in opposite directions that has only one dimension

2- Line segment:
It is the same as the line. The only difference is that a line segment has a fixed start point and a fixed end point. It is considered to be a portion of a line
Answer:
Line segment .........> D) a part of a line that has two endpoints

3- Ray:
A ray is also a one dimensional shape. A ray usually has a start point but no end point.
Answer:
Ray .........> B) part of a line that has one endpoint and continues in one direction infinitely

4- Point:
A point is a dimensionless geometric shape. It is only used to state a certain location.
Answer:
Point .........> C) a location, has no dimension

5- Vertex:
A vertex is a term that is used to refer to the point where the two rays forming an angle meet.
Answer:
Vertex ........> E) the common endpoint of two segments or rays that form the corner of an angle

Hope this helps :)

4 0

3 years ago

On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove

gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time $t_1$ , distance of $d_1$ , v = 40. So

$v = \frac{d}{t}$

$40 = \frac{d_1}{t_1}$

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is $v = 60$ .

On the first day, he drove 2 more hours, which means that for the second day, the time is: $t_1 - 2$

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: $d_1 - 20$

Thus

$v = \frac{d}{t}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

System of equations:

Now, from the two equations, a system of equations can be built. So

$40 = \frac{d_1}{t_1}$

$60 = \frac{d_1 - 20}{t_1 - 2}$

Find the total distance traveled in the two days:

We solve the system of equation for $d_1$ , which gets the distance on the first day. The distance on the second day is $d_2 = d_1 - 20$ , and the total distance is: