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Snowcat [4.5K]
3 years ago
5

How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots

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If a cone has a volume of 338 cm^3 and a radius of 6 cm, how tall is it?
Anna35 [415]

The formula for the volume of a cone is V = πr²h ÷3

You are solving for the height, h.

V = 338 cm³ and r = 6 cm

338 = π(6)²h÷3

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338 = π12h

28.16 = πh

8.965 = h

The height of the cone is around 9 cm.

6 0
3 years ago
Consider two circular swimming pools. Pool A has a radius of 48 feet, and Pool B has a diameter of 29.46 meters. Complete the de
Ber [7]

Answer: pool B has a greater circumference.

Step-by-step explanation:

The formula for determining the circumference if a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Pool A has a radius of 48 feet.

1 foot ≈ 0.305 meters

48 feet = 48 × 0.305 = 14.64 meters

The circumference of pool A is

2 × 3.14 × 14.64 = 91.94 meters

Pool B has a diameter of 29.46 meters. Radius = diameter/2

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7 0
3 years ago
У = 2х – 1<br> у = 3х + 2<br> Using substitution method
sergij07 [2.7K]

Answer:

x = -3, y = -7

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

Solve 2x - 1 = 3x + 2 for x.

-x - 1 = 2

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x = -3

Evaluate y when x = -3

y = 3 (-3) + 2

y = -7

(-3, -7)

<em>good luck, i hope this helps :)</em>

7 0
3 years ago
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Answer:

C is your answer for this question

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3 years ago
What is the value of the expression 1/2 (m÷3) +n A. 13/5 B. 13/10 C. 15/11 D. 15/17
OLEGan [10]

Answer:

So far I have gotten 3m + n, there is not equal sign so I am unable to finish this question further.

Step-by-step explanation:

5 0
3 years ago
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