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Elza [17]
2 years ago
13

What is the solution to the inequality 7x + 2 < -3x + 1?

Mathematics
1 answer:
anastassius [24]2 years ago
5 0

Answer:

  • \Large\boxed{\sf{x < -\dfrac{1}{10} }}

Step-by-step explanation:

In order to find the solutions, you must isolate the inequality on one side of the equation.

7x+2<-3x+1

<u>First, you subtract by 2 from both sides.</u>

7x+2-2<-3x+1-2

<u>Solve.</u>

<u />

<u>Subtract the numbers from left to right.</u>

7x<-3x-1

<u>Add by 3x from both sides.</u>

7x+3x<-3x-1+3x

<u>Solve.</u>

7x+3x=10x

10x<-1

<u>Then, you divide by 10 from both sides.</u>

10x/10<-1/10

<u>Solve.</u>

<u />

<u>Divide these numbers goes from left to right.</u>

\Longrightarrow: \boxed{\sf{x < -\dfrac{1}{10} }}

  • <u>Therefore, the final answer is x<-1/10.</u>

I hope this helps, let me know if you have any questions.

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Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.


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convert 24 inches to feet

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8 0
3 years ago
Solve the system of equations - 6x + 5y = 0 and -5x + 5y = -5 by combining
Anna [14]

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Answer:

  (x, y) = (-5, -6)

Step-by-step explanation:

The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.

  (-5x +5y) -(-6x +5y) = (-5) -(0)

  x = -5 . . . . . . simplify

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7 0
2 years ago
The question is the picture thanks for helping
Vedmedyk [2.9K]

Answer:

Answer is option b)

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

a \: walking \: path \: is \: represented \: by \:  \\ y =  - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular  \\ \: to \:  \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \:  =  - 4\: and \: y = 10 \: in \: required \: equation \\  - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y =  \frac{x}{4}  + 11 \\ y =  \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \:   \frac{1}{4} x + 11

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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