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Elena-2011 [213]
3 years ago
9

6(8-x)(x+4)=0 what’s the solution set?

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

x_{1} = -4\\\\x_{2} = 8

Step-by-step explanation:

6(8-x)(x+4)=0

(48 -6x )(x+4) = 0

48x +192 -6x^2 -24x = 0

6x^2 -24x -192=0

using quadratic formula:

x =\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

a= 6   b= -24  c= -192

we have:

x_{1} = -4\\\\x_{2} = 8

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For his exercise today, Manuel plans to both run and swim. Let r be the number of laps he runs and lets be the number of laps he
QveST [7]

Answer:

The Inequality describing the situation is 3r+2s>45.

Step-by-step explanation:

Let the number of laps he runs be 'r'

Let the number of laps he swims be 's'

Now Given:

Time required to run each lap = 3 min

Time required to swim each lap = 2 min

Total minutes he need to exercise more than 45

we need to write the Inequality representing the same.

Solution:

Now we can say that;

Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.

framing in equation form we get;

3r+2s>45

Hence The Inequality describing the situation is 3r+2s>45.

6 0
3 years ago
How many cups of sorbet are used in 8 cups of punch? (Punch Recipe:: Ginger Ale: 40% | Orange Juice: 25% | Pineapple Juice: 20%
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54.4 Cups of soebet are used in 8 cups of punch.

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3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Juli2301 [7.4K]

Answer:

math ez

Step-by-step explanation:

7 0
3 years ago
1. Write numbers from standard form to Scientific notation for the following: The diameter of human DNA is about 0.000000002
zheka24 [161]
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4 0
3 years ago
Michael pays his cell phone service provider $49.95 per month for 500 minutes. Any additional minutes used cost $0.15 each. In J
arsen [322]

y = total cost used.

x = additional minutes

y = $49.95 + $0.15x

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3 years ago
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