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Black_prince [1.1K]
3 years ago
7

Write a quadratic equation whose roots are -4 and one and who's leading coefficient is five

Mathematics
1 answer:
Alex3 years ago
7 0

Step-by-step explanation:

- 4 and 1 are roots.

Therefore, (x + 4) & (x - 1) are factors and 5 is leading coefficient.

Therefore, required quadratic equation is:

5 (x + 4) (x - 1)  \\  = 5( {x}^{2}  - x + 4x - 4) \\  = 5( {x}^{2}  + 3x - 4) \\  = 5 {x}^{2}  + 15x - 20

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When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, and when it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw. Mar
aleksandrvk [35]

Answer:

b. 13 hour, 20 min

Step-by-step explanation:

When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, this means Karachi is 9 hour ahead of Halifax.

When it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw, this means that Warsaw is 4 hours behind  Karachi.

She arrived to Karachi at 3:00 pm, Tuesday. Local time. When is 3:00 pm in Karachi is 11:00 am in Warsaw.

The difference between 9:40 am, Monday and 11:00 am, Tuesday, both in Warsaw local time is 13 hour 20 min.

4 0
3 years ago
The value of y is directly proportional to the value of x. Given y = 25 when x = 150.
Tcecarenko [31]

Answer:

please mark as brainlist answers

8 0
2 years ago
Read 2 more answers
A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?
pychu [463]

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

5 0
2 years ago
A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \te
alexdok [17]

Answer:

<em>The bee traveled 11.7 meters.</em>

Step-by-step explanation:

A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.

For <u>finding the total distance traveled, we need to just add</u> 840 cm and 330 cm.

So, (840+330) cm = 1170 cm

We know that,  1 meter = 100 cm. That means, <u>for converting 'cm' into 'meter' , we need to divide by 100</u>.

Thus,  1170 cm= \frac{1170}{100} meter = 11.7 meter

So, the bee traveled 11.7 meters.

5 0
3 years ago
Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3
lesya692 [45]

Answer:

39

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1)  where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39  (answer).

8 0
3 years ago
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