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2 years ago

Consider the inequality -5(x+7)<-10. Right in inequality representing the solution for x

Mathematics

1 answer:

scZoUnD [109]2 years ago

8 0

First, divide -5 on both sides:

(x + 7) < -2

Then subtract 7 on both sides:

x < -9

x < -9 is your final answer.

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HELP ASAP!!! What is the slope of the line through (-1,-4) and (-6, -2)?

Mila [183]

Answer:

2/-5

Step-by-step explanation:

(-2) - (-4) = 2

(-6) - (-1) = -5

6 0

2 years ago

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Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.

Ira Lisetskai [31]

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

6 0

3 years ago

Read 2 more answers

According to a state law for vehicles traveling on state roads, the maximum total weight of a vehicle and its contents depends o

Alex787 [66]

Inequalities are used to show the relationship between unequal expressions.

The inequalities that represent the maximum weights are:

2 axles - $x \le 40000$ .
3 axles - $x \le 60000$ .
4 axles - $x \le 80000$ .

Let the maximum weight be represented with x

In inequality, maximum means less than or equal to i.e. $\le$

(a) 2 axles

The maximum weight, here is 40000.

So, the inequality is:

$x \le 40000$

(b) 3 axles

The maximum weight, here is 60000.

So, the inequality is:

$x \le 60000$

(c) 4 axles

The maximum weight, here is 80000.

So, the inequality is:

$x \le 80000$

See attachment for the graphs of each inequality