What is the solution to 2x+5>3x+1

Answers

Answer 1

Answer:    2x + 5 > 3x + 1
- 2x     - 2x
   5 > x + 1
   - 1 - 1
   4 > x
   x < 4

Answer 2

Answer:
The solution is 4>x Because you subtract 1 from both sides and you subtract 2x from both sides and you get x<4 or 4>x

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When solving a real word problem to find a person's age, would a negative solution make sense ?

Answers

NO, nobody could be negative something years old. For example, nobody could be -2 years old. That just means they are not even born yet.

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.y = –2x + 4

6x + 3y =

A: –12

B: –4

C: 0

D: 4

E: 12

Answers

For this case we have the following system of equations:

Rewriting equation 1 we have:

Therefore, the equivalent system is:

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

Given a system of equation y = –2x + 4 and 6x + 3y = ?

We have to check for which value the '?' would result in a system of equations with no solution.

Consider a system of equation $a_1x+b_1y+c_1=0 \n\na_2x+b_2y+c_2=0$

For the system to have no solution the condition is,

$(a_1)/(a_2)=(b_1)/(b_2)\neq (c_1)/(c_2)$

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4 ⇒ 2x +y - 4 = 0

and 6x + 3y = v ⇒ 6x + 3y - v =0

On comparing, we get,

$a_1=2 , b_1=1,c_1=-4\n\n\a_2=6,b_2=3,c_3=-v$

Substitute the values in condition for no solution , we get ,

$(2)/(6)=(1)/(3)\neq (-4)/(-v)$

Consider second and third ratio, we get,

$(1)/(3)\neq (-4)/(-v)$

Solve for v , we get,

$(1)/(3)\neq (-4)/(-v) \n\n \Rightarrow v \neq 12$

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

The equation s x  2 5 can be used to estimate the speed, s, of a car in miles perhour, given the length in feet, x, of the tire marks it leaves on the ground. A car

traveling 90 miles per hour came to a sudden stop. According to the equation, how

long would the tire marks be for this car?

Answers

Wouldn't it simply be 90 x 25?

Factor 35v–7w +42x. Write your answer as a product with a whole number greater than 1.

Answers

Answer: 7(5v-w+6x)

Step-by-step explanation:

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What is the sum of the first 50 natural numbers? How to solve it without adding 50 digits?

Answers

$1+2+3+4+5+\dots+50\n\n1;\ 2;\ 3;\ 4;\ 5;\dots;50\ are\ the\ terms\ of\ a\ arithmetic\ sequence\nwhere\ a_1=1\ and\ d=1\n\nSum:S_n=(a_1+a_n)/(2)\cdot n\n\nS_(50)=(1+50)/(2)\cdot50=51\cdot25=1275\leftarrow solution$

Look at the first one and the last one: 1 + 50 = 51
Look at the second one and the second-last one: 2 + 49 = 51
Look at the third one and the third-last one: 3 + 48 = 51

Every pair you construct in this way adds up to 51 .

There are ( 50/2 ) = 25 pairs.

They all add up to ( 25 pairs ) x ( 51 per pair ) = 1,275

Can you show how to do 67,000 rounded to the nearest ten thousand on a number line.

Answers

On your number line have 60,000 and 70,000 and then 67,000 in its relevant place (just over halfway) and then show that it would be closer to 70,000
Hope this helped :)

I believe it's 70000

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