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aleksandr82 [10.1K]
4 years ago
15

How to solve inequaities?

Mathematics
1 answer:
bulgar [2K]4 years ago
8 0
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:
Don't multiply or divide by a variable (unless you know it is always positive or always negative)
You might be interested in
X^2-18x+67=0 Solve the quadratic equation by completing the square.
Assoli18 [71]

Answer:

x = 9 ± √14

Step-by-step explanation:

x² − 18x + 67 = 0

Move the constant to the other side:

x² − 18x = -67

Take half of -18, square it, and add to both sides.

(-18/2)² = (-9)² = 81

x² − 18x + 81 = -67 + 81

x² − 18x + 81 = 14

Factor the perfect square:

(x − 9)² = 14

Solve for x:

x − 9 = ±√14

x = 9 ± √14

5 0
3 years ago
Tessellations
faust18 [17]

9514 1404 393

Answer:

  d. x-axis

Step-by-step explanation:

Consider a point on curve P and its (nearest) image on curve P'. The midpoint between those points is on the line of reflection. That line is the x-axis.

_____

<em>Additional comment</em>

The curve is symmetrical about the y-axis, so each point on P also has an image point that is its reflection across the origin. The reflection of P could be across both the x- and y-axes, or (equivalently) across the origin. We don't know the meaning of "xy-axis", so we suspect that is a red herring. The best choice here is "x-axis."

4 0
3 years ago
Read 2 more answers
What Is The Answer????​
olchik [2.2K]

Answer:

x + 3

Step-by-step explanation:

It cuts the y axis at 3 and continues to rise by one

Therefore ax + b gives us 1x + 3 = x + 3

4 0
3 years ago
What is the mean for the numbers 94,26,76,46,77,66,31, and 88?
Gnesinka [82]

Answer:

68

Step-by-step explanation:

Add all of the numbers together then divide by the amount of numbers there are.

3 0
4 years ago
Read 2 more answers
Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2
ollegr [7]

Answer:

2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = 2x^2-16 and breadth = -x^2+4x+1

Thus, perimeter of rectangle = 2(2x^2-16+(-x^2+4x+1))

                                              =2(2x^2-16-x^2+4x+1)

                                               =2(x^2+4x-15)

                                                =2x^2+8x-30

Thus, perimeter of rectangle is 2x^2+8x-30   ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12

Thus, 2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.




5 0
3 years ago
Read 2 more answers
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