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Tpy6a [65]
3 years ago
13

What is the solution to this inequality: -4(3x-5)<2(3x+4)​

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)​

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

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Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2
mylen [45]

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

6 0
3 years ago
A movie rental company offers a membership plan that costs $10/month and charges $2 to rent each movie. How many movies can a me
Brums [2.3K]

Answer:

See below

Step-by-step explanation:

linear equation: y=2x+10

x=cost per movie rented

10=$10 for the membership

24=2x+10    (24 being total you want to spend)

subtract 10 from each side

14=2x

divide by 2

7=x

He can rent no more than 7 movies if he want to spend $24 or less in the month

8 0
3 years ago
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents
Anarel [89]

Answer:

C. 2/3

Step-by-step explanation:

4/6 is equivalent to 2/3 (divide by 2)

5 0
3 years ago
What is the least common denominator for the fractions 56and38?
maw [93]

Answer:

The least common factor is 18

Step-by-step explanation:

  • what you need to do is subtract 56 - 38 = 18
  • It would 56/18 and 36/18

  • Hope this helps
  • Hope this is right
  • Ask me questions

7 0
3 years ago
Read 2 more answers
coffee worth 90 cents per pound is mixed with coffee worth 60 cents per pound ro produce a twenty pound blend worth 72 cents per
Evgesh-ka [11]
90x+60y=72
60y=-90x+72
y=-1.5x+1.2

then create a graph using this formula.

Hope this helps!

8 0
3 years ago
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