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Tom [10]
3 years ago
5

If m = (3x-1) and n = (3x+1),sjow that x² = mn+1 by 9​

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Step-by-step explanation:

{x}^{2}  =  \frac{mn + 1}{9}

(3x - 1)(3x + 1)

9 {x}^{2}  - 1

{x}^{2}  =  \frac{9 {x}^{2 } - 1 + 1 } {9}

{x}^{2}  =  \frac{9 {x}^{2} }{9}

{x}^{2}  =  {x}^{2}

So this identity is true.

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A worker on the production line is paid a base salary of ​$230.00 per week plus ​$0.78 for each unit produced. Write an equation
iogann1982 [59]

(a)

We are given

A worker on the production line is paid a base salary of ​$230.00 per week

so, base salary =230

Let's assume number pencils produced as x

plus ​$0.78 for each unit produced

now, we can find equation for earnings

E(x)=230+0.78x

now, we are given

her earnings of ​$446.84 for a week when she produced x units

so, we can set E(x)=446.84

and then we can solve for x

446.84=230+0.78x

230\cdot \:100+0.78x\cdot \:100=446.84\cdot \:100

23000+78x=44684

23000+78x-23000=44684-23000

78x=21684

\frac{78x}{78}=\frac{21684}{78}

x=278

so, number of pencils = 278........Answer

(b)

If the worker had produced twice that number of​ units

so, number of pencils =2*278=556

now, we can find earnings

E(x)=230+0.78x

now, we can plug x=556

E(556)=230+0.78*556

E(556)=663.68.................Answer


3 0
3 years ago
1 is 25% of what number?
vlada-n [284]
1 is 25% of 4 hope this helps you
8 0
2 years ago
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0
2 years ago
I also need help with this one
icang [17]
It is c.

explanation:

20+130+h =180

when you solve you get h=50

130+g = 180

g= 50

50+60+f = 180

f=70
7 0
3 years ago
Read 2 more answers
Each letter represents a question answer
evablogger [386]

A. 2x+3x-6=10+4x

5x-6=10+4x

5x=16+4x

X=16

5 0
3 years ago
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