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vlabodo [156]
3 years ago
13

Solution set of 6x2=13x+5

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

x = -1/3         x = 5/2

Step-by-step explanation:

6x^2=13x+5

Subtract 13x from each side

6x^2-13x=13x-13x+5

6x^2-13x=5

Subtract 5 from each side

6x^2-13x-5=5-5

6x^2-13x-5=0

Factor

(3x+1   )(2x  -  5 ) =0

Using the zero product property

3x+1 =0    2x-5 =0

3x=-1          2x =5

x = -1/3         x = 5/2

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Can someone help me with this i got the question wrong the first time so its not 7.50
Sedaia [141]

Answer: $7.6502

Step-by-step explanation:

Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:

= $1.19 × 3.16

= $3.7604

Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:

= $1.29 × 1.35

= $1.7415

Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:

= $0.99 × 2.17

= $2.1483

Total bill paid will be:

= $3.7604 + $1.7415 + $2.1483

= $7.6502

4 0
3 years ago
Which of these statements is true?
Talja [164]

Answer:

B all square are regular polygons

8 0
3 years ago
Johnny has 14 apples. He eats 7 and throws away 3, How many does he have left
Liono4ka [1.6K]

Answer:

4 apples left

Step-by-step explanation:

Johnny has 4 apples left because 14 minus how many apples he ate minus how many apples he throws away. 14-7-3=4

4 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 260 vinyl​ glov
yawa3891 [41]

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

5 0
3 years ago
Compare the two ratios is 6 : 15 less than 30 : 80 or greater than?
romanna [79]

Work:
6/15 = x/1
To get from 15 to 1, you have to divide by 15. So, to make an equal field, divide 6 by 15.

6 : 15 is the same as 2 : 5 or 0.4.

30/80 = x/1
To get from 80 to 1, you have to divide by 80. So, to make an equal field, divide 30 by 80.

30 : 80 is the same as 3 : 8 or .875.


Comparing the two, 30 : 80 is greater than 6 : 15.


Hope this helps. Have a good day.


6 0
2 years ago
Read 2 more answers
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