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mrs_skeptik [129]
3 years ago
12

Solve each compound inequality and graph the solutions 8

Mathematics
2 answers:
Maksim231197 [3]3 years ago
5 0

Answer:

step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Step-by-step explanation:

SVETLANKA909090 [29]3 years ago
3 0

Step-by-step explanation:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

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saveliy_v [14]
B) If the line is parallel, that means the slope is the same.
    The slope for the original line is \frac{-1-0}{6-2} = \frac{-1}{4}.
    The second form of coral line would be y = -1/4x + (any number). You could          use y = -1/4x + 3.

c) Solve 12x = 24 + 3y for y.
    3y = 12x - 24
    y = 4x - 8
    Perpendicular lines have negative reciprocal slopes... the negative reciprocal      for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
4 0
3 years ago
The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are
vodomira [7]
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
5 0
3 years ago
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