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3 years ago

Solve the system 3x – 2y = 1 2x + 2y = 4

Mathematics

1 answer:

natulia [17]3 years ago

3 0

Answer:

x = 1, y = 1

Step-by-step explanation:

Given the 2 equations

3x - 2y = 1 → (1)

2x + 2y = 4 → (2)

Adding (1) and (2) term by term, eliminates the term in y

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

(2 × 1) + 2y = 4

2 + 2y = 4 ( subtract 2 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

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Prove the polynomial identity

Nataliya [291]

Answer:

The steps have been shown in the solution below

Step-by-step explanation:

$(3x+1)^{2} - 2(3x+1)=(3x+1)(3x-1)$

$9x^{2} +6x+1 -6x-2= (3x+1) (3x-1)\\\\9x^{2} -1=(3x+1)(3x-1)\\\\(3x+1)(3x-1)=(3x+1)(3x-1)\\$

LHS=RHS Hence, proved.

4 0

3 years ago

a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters

Ann [662]

Answer:

(a) $\frac {276}{450}=\frac {y}{15240}$

(b) We cross multiply the probability by the total voters

Step-by-step explanation:

(a)

Probability of getting a republican voter is

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}$

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}$

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as $\frac {276}{450}=\frac {y}{15240}$ where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

$\frac {46}{75}\times 15240=9347.2\approx 9347$

5 0

3 years ago

a production manager tests 10 toothbrushes and finds that their mean lifetime is 450 hours. she then designs a sales package for

Scorpion4ik [409]

The answer was "Probability-based inference", you got apex too?

6 0

4 years ago

Read 2 more answers

In the morning before school, Janine spend 1/10 hour making the bed,1/5 hour getting dressed and 1/2 hour eating breakfast. What

padilas [110]

Answer:

4/5 hour . . . . 48 minutes

Step-by-step explanation:

In hours, the total time is ...

... 1/10 + 1/5 + 1/2 = 1/10 + 2/10 + 5/10

... = (1+2+5)/10 = 8/10

... = 4/5

____

You can have a calculator add these numbers for you. Most will report the result as a decimal. There are fraction calculators on-line, if your graphing calculator does not have a fraction display mode.

If you want minutes, multiply the fraction (or decimal) by 60 minutes.

7 0

3 years ago

Can someone please help me solve this? I’d appreciate it :))

GarryVolchara [31]

Idk, I think 8.5 bc 12 is half of 24, and half of 17 is 8.5. I tried lol

3 0

3 years ago