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3 years ago

What’s x to 5x+2 is greater than 3x+10

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

7 0

Answer:

$x$ is greater than <u>4</u>.

Step-by-step explanation:

Given:

5x+2 is greater than 3x+10.

Now, to find $x$ is greater than.

$5x+2> 3x+10$

Subtracting both sides by 2 we get:

$5x>3x+8$

Subtracting both sides by 3 $x$ we get:

$2x> 8$

Dividing both sides by 2 we get:

$x>4.$

Therefore, $x$ is greater than 4.

katovenus [111]3 years ago

4 0

<h2>The value of x is always grater than 4.</h2><h3>Therefore x = (4,∞)</h3>

Step-by-step explanation:

Given

5x+ 2 >3x+10

⇔5x - 3x >10-2

⇔2x > 8

⇔x > 4

<h3>The value of x is always grater than 4.</h3><h3>Therefore x = (4,∞)</h3>

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3 years ago

You start at (2, 7). You move up 3 units. Where do you end?

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Answer:

(2, 10)

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3 years ago

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Which system of inequalities is represented by the graph?

Dahasolnce [82]

Answer:

$y\leq 2x+4$

$y\geq -x-6$

Step-by-step explanation:

step 1

<em>Find the equation of the solid line with positive slope</em>

we have the points

(0,4) and (-2,0)

<em>Find the slope</em>

$m=(0-4)/(-2-0)=2$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=2\\b=4$

substitute

$y=2x+4$

step 2

<em>Find the equation of the inequality with positive slope</em>

we know that

The solution of the inequality, is the shaded area below the solid line

The equation of the inequality is

$y\leq 2x+4$ ----> inequality A

step 3

Find the equation of the line with negative slope

we have the points

(-6,0) and (-4,-2)

<em>Find the slope</em>

$m=(-2-0)/(-4+6)=-1$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=2\\point\ (-6,0)$

substitute

$0=-(-6)+b$

solve for b

$0=6+b$

$b=-6$

The linear equation is

$y=-x-6$

step 4

<em>Find the equation of the inequality with negative slope</em>

we know that

The solution of the inequality, is the shaded area above the solid line

The equation of the inequality is

$y\geq -x-6$ ----> inequality B

therefore

The system of inequalities is

$y\leq 2x+4$ ----> inequality A

$y\geq -x-6$ ----> inequality B

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4 years ago

The sum of 5.75 and half of a number is -5. what is the number?

soldi70 [24.7K]

Answer:

21.50

Step-by-step explanation:

$let \: the \: number \: = y \\ half \: the \: number = \frac{y}{2} \\ \frac{y}{2} + 5.75 = - 5 \\ \frac{y}{2} = - 5 - 5.75 \\ \frac{y}{2} = -10.75 \\ crossmultiply \\ y = 2 \times -10.75 \\ y = -21.50$

6 0

2 years ago