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3 years ago

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The code for a lock consists of 3 digits using the digits: 1,2,4,7,8,9. How many different codes are possible if no digit may be

repeated?

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

279

Step-by-step explanation:

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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x +

AnnyKZ [126]

The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.

<h3>Quadratic equation</h3>

8x² + 16x + 3 = 0

8x² + 16x = -3

8(x² + 2x) = -3

Using completing the square

8(x² + 2x + 1) = -3 + 8

factorization

8(x² + 1) = 5

(x² + 1) = 5/8

Taking the square root of both sides

(x + 1) = ± √5/8

x = -1 ± √5/8

Therefore,

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Learn more about quadratic equation:

brainly.com/question/1214333

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4 0

2 years ago

Luis does chores at home to earn extra money. Each week he earns $20. He already has $320 in his savings account, and is trying

Setler [38]

Answer:

30.5 Weeks

Step-by-step explanation:

The phone costs $930, and he already has $320 saved in his bank account so subtract 320 from 930. You will get 610. Then, you take 610 and divide it by 20 because he earns $20 a week. I hope this helped.

8 0

3 years ago

Can anybody help me?

lakkis [162]

You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7

8 0

3 years ago

Please Help me with these question. first person to help me gets brainliest!!!!

lara [203]

4) the distance between the x-values is 3 and the distance between the y-values is 4

3² + 4² = d²

9 + 16 = d²

25 = d²

√25 = d

5 = d

Answer: C

6)

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 - (-3))^{2} + (2 - (-4))^{2} }$

d = $\sqrt{(-2 +3)^{2} + (2 +4)^{2} }$

d = $\sqrt{(1)^{2} + (6)^{2} }$

d = $\sqrt{1 + 36}$

d = $\sqrt{37}$

d = 6.1

Answer: A

7 0

3 years ago

A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of

Elza [17]

Answer:

14.3 km/h to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 / t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:- (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

12(1 .75 - t1) - 12t1 = -6t1(1.75 - t1)

21 - 12t1 - 12t1 = -10.5t1 + 6t^2

6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

Therefore the speed in still water (v) = 12/1.058 + 3 = 14.3 to 3 sig figs

3 0

3 years ago