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Usimov [2.4K]
3 years ago
11

Solve the quadratic linear below :6x²-x-2=0​

Mathematics
2 answers:
Advocard [28]3 years ago
6 0

Answer:

x = 3/2; x = -1/2

Step-by-step explanation:

6x² - x - 2 = 0

⇔ 6x² - 4x + 3x - 2 = 0

⇔ (6x² - 4x) + (3x - 2) = 0

⇔ 2x(3x - 2) + (3x - 2) = 0

⇔ (3x - 2)(2x + 1) = 0

⇔\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.

⇔\left \{ {{3x=2} \atop {2x=-1}} \right.

⇔\left \{ {{x=2/3} \atop {x=-1/2}} \right.

Luda [366]3 years ago
5 0

Answer:

x 1=  \frac{ + 1 +  \sqrt{  { (- 1)}^{2}  - 4 \times 6 \times ( - 2)}  }{ 12} =  \frac{8}{12}  \\ x =  \frac{ + 1  -   \sqrt{  { (- 1)}^{2}  - 4 \times 6 \times ( - 2)}  }{ 12} =  \frac{ - 6}{12}

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What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)
Anna71 [15]

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

m=\frac{y_2-y_1}{x_2-x_1}

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

8 0
3 years ago
Katy is on a path, moving towards a bridge. The given table represents a function that describes Katy’s distance from the bridge
Sophie [7]

Answer:

D : Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Step-by-step explanation:

Recall that x represents the time walked

When you see the first entry on the table as: x=0, that means Katy is about to start her walk, and the value to the right which represents her distance from the bridge is 300 meters. So as her walk started she was 300 meters from the bridge.

Now look at the last entry pair at the bottom of the table: the value in the "x" column (that represents the number of minutes she walked) reads: 6, and the value to the right (next column) reads 0 (0 meters from the bridge)

This is telling us that Katy was at the bridge after 6 minutes of walk. So answer D is the correct answer representing the given table of time and distance values.

3 0
3 years ago
HELPPP
kupik [55]
Your answer is 10 pieces
3 0
3 years ago
Plz hurry help!!!!:) What is the length of AD? Round your answer to the nearest hundredth.
jolli1 [7]

Answer:

AD=5.82 units

Step-by-step explanation:

tan 31=3/BD

0.6009=3/BD

BD=5

AD^2=3^2 + 5^2

AD^2=9+25=34

AD=5.82

8 0
3 years ago
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Evgesh-ka [11]

Answer:

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Step-by-step explanation:

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3 years ago
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