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miv72 [106K]
3 years ago
12

What are the roots of the quadratic equation below 3x2+15x-5=0

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

<h2>A</h2><h2 />

Step-by-step explanation:

3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A

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A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches
Alex777 [14]

Answer:

original is 4 & 6.

for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12

Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24  =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5w^{2}=24

1.5w^{2}=54

1.5w^{2}=96

so,

w^{2} = \frac{24}{1.5}=16

w^{2}= \frac{54}{1.5} =36

w^{2}= \frac{96}{1.5} =64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

5 0
3 years ago
Read 2 more answers
The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
wariber [46]

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

=

\frac{230m}{0.75m}  \\  = 306 \frac{2}{3} paces

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

5 0
1 year ago
please only answer if you know the correct answer and answer all question please please please please please
chubhunter [2.5K]

Answer:

Part A: B) 3

Part B: $40

4. -1

7. 5x + 6y

8. Part A: y = 20x

8. Part B: $300

9. e > 12000 pounds

Step-by-step explanation:

Part A: x = 5t + 5

20 = 5t +5

15 = 5t

t = 3

Part B: x = 5t + 5

x = 5(7) + 5

x = 35 +5

x = 40

4. 24 - 5^2

24 - (5*5)

24 - 25 = -1

7. 2x + 4y + 5 + 2y - 5 + 3x

2x + 3x = 5x

4y + 2y = 6y

5 + (-5) = 0

5x + 6y

8. Part A:

Total = y

Lawns = x

Amount = $20

so y = 20x

8. Part B:

y = 20x

y = 20(15)

y = 300

9. The elephant weighs more than 12000 pounds

Elephant = e

More than =  >

Pounds = 12000

e > 12000 pounds

7 0
2 years ago
Yo plz help I have no clue what im doing
olya-2409 [2.1K]

Answer:

hi

Step-by-step explanation:

7 0
3 years ago
Partial quotients 36 divided by 540
den301095 [7]
<span><span>1.     </span>Simply divide the 520 to 36 and that makes it 15</span>









6 0
3 years ago
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