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Radda [10]
3 years ago
12

2x -3< -1 or -3x < -15

Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

x<1 or x>5

Step-by-step explanation:

2x -3< -1 or -3x < -15

Solve them separately then put them back together

2x-3 < -1

Add 3 to each side

2x-3+3<-1+3

2x<2

Divide by 2

2x/2 <2/2

x<1

-3x < -15

Divide each side by -3, remembering to flip the inequality

-3x/3 > -15/-3

x>5

Put them back together

x<1 or x>5

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What number must you add to the polynomial below to complete the square? x2 - 3x
USPshnik [31]
The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.

x² -3x +9/4 = (x -3/2)²

_____
If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
7 0
3 years ago
One diet uses a ratio of 9:5:4 for carbohydrates, protein, and fat. A nutritionist is developing a diet that provides 450 calori
saw5 [17]

Answer:

There are 810 calories from carbohydrates

Step-by-step explanation:

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We want 450 calories from protein

450 /5 =90

Multiply each term by 90

carbohydrates: protein:  fat

9*90                  :5*90   :4*90

810                        450      360

There are 810 calories from carbohydrates

7 0
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Answer:

60

Step-by-step explanation:

1.5 is 2.5% of 60

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Answer:

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Step-by-step explanation:

Move all terms not containing  a  to the right side of the equation.

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