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vekshin1
2 years ago
5

If a+b+c=9 and ab+bc+ca=23 then a^3+b^3+c^3-3abc =?

Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

Answer:

Step-by-step explanation:

a³  +b³ + c³ - 3abc =(a +  b + c)(a² + b² + c² - [ab+bc+ac] )

                              =  9 (a² + b² + c²- 23)

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He makes $316 a week and $23 for every sale he makes. He has to pay his rent this week that is $500, so he will need to make at
Lyrx [107]

let x be the number of sales Hayward needs to make

316+23x > or equals to 500

23x> or equals to 184

x> or equals to 8

4 0
3 years ago
Please tell me the function( will mark as brainiest) thanks
Alecsey [184]

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: m = \frac{y2-y1}{x2-x1}

Plug in the 2 points: m = \frac{16-8}{1-0}

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

  • 24 = 8(2)+b
  • 24 = 16 + b
  • b = 8

We have now found the equation of the linear function: y = 8x+8

6 0
3 years ago
Show your work please
Butoxors [25]

Answer: No solution

Step-by-step explanation:

Perimeter= 2(length) + 2(width)

If they have the same perimeter than we can write their values as an equation like this:

2(10) + 2x = 2(6) + 2(x + 3)

20 + 2x = 12 + 2(x+3)

DISTRIBUTE THE 2 TO THE X AND THE 3

20 + 2x = 12 + 2x + 6

COMBINE LIKE TERMS

20 + 2x = 18 + 2x

SUBTRACT 2X FROM BOTH SIDES

20 = 18

<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>

6 0
3 years ago
Can someone help me on 64 67 68 and if you do you will get a lot of points
andre [41]

Answer: #64, A. #67, A. #68, C


Step-by-step explanation:

#64

0.96/6= 0.16

2.4/16= 0.15

32= 0.18

16 oz is the least


#67

100/20=5

3*5=15

SO, it's 15%.


#68

Divide

$430/43= $10

$594/54= $11

Andrew= $8

So, Darren makes the most.

8 0
3 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 43 o
xeze [42]

Answer:

a) 95% of the widget weights lie between 29 and 57 ounces.

b) What percentage of the widget weights lie between 12 and 57 ounces? about 97.5%

c) What percentage of the widget weights lie above 30? about 97.5%

Step-by-step explanation:

The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.  

a) 29 represents two standard deviations below the mean, and 57 represents two standard deviations above the mean, so, 95% of the widget weights lie between 29 and 57 ounces.  

b) 22 represents three standard deviations below the mean, and the percentage of the widget weights below 22 is only 0.15%. We can say that the percentage of widget weights below 12 is about 0. Equivalently we can say that the percentage of widget weights between 12 an 43 is about 50% and the percentage of widget weights between 43 and 57 is 47.5%. Therefore, the percentage of the widget weights that lie between 12 and 57 ounces is about 97.5%

c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%

3 0
2 years ago
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