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Leokris [45]
3 years ago
14

Solve the compound inequality and write the solution in interval notation: 34x−3≤3 or 25(x+10)≥0.

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer

x≤3/17 or x≥-10

Step-by-step explanation:

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Solve the equations by factoring:<br><br>x^2−3x−40=0<br><br>4x^2−81=0
Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

x² - 3x - 40 = 0

Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)

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- 8 × 5 = - 40 and - 8 + 5 = - 3, thus

(x - 8)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

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------------------------------------------------------

Given

4x² - 81 = 0 ← this is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

4x² - 81

=(2x)² - 9²

= (2x + 9)(2x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - \frac{9}{2}

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = \frac{9}{2}

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3 years ago
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Help ASAP, question below, 20 points
Talja [164]

Answer:

1 more lawn per hour

Step-by-step explanation:

Brian mows one lawn every hour while logan takes 4 hours to mow 2

Brian:

Hr 1                    1 Lawn

Hr 2                    2 Lawn

Hr 3                    3 Lawn

Hr 4                    4 Lawn

Logan:

Hr 1                    2 Lawn

Hr 2                    4 Lawn

Hr 3                    6 Lawn

Hr 4                    8 Lawn

4 0
2 years ago
Decrease £16855.21 by 13.5%<br> Give your answer rounded to 2 DP.
Savatey [412]

Answer:

<h2>£ 14,579.75</h2><h2 />

Step-by-step explanation:

= £16855.21  -  ( £16855.21 x <u>13.5% )</u>

                                                 100

= £ 14,579.75

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2 years ago
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