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Likurg_2 [28]
3 years ago
9

What time is 15 minutes after 6:42?

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

6:57

Step-by-step explanation:

6:57 is the time.:D

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P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
Mila [183]

Answer:

The polynomial is:

p(x) = -x^3 - 2x^2 + 5x + 6

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that x_1 = -3, x_2 = -1, x_3 = 2. Thus

p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)

p(x) = a(x - (-3))*(x - (-1))*(x-2)

p(x) = a(x+3)(x+1)(x-2)

p(x) = a(x^2+4x+3)(x-2)

p(x) = a(x^3+2x^2-5x-6)

Passes through the point (1,12).

This means that when x = 1, p(x) = 12. We use this to find a.

12 = a(1 + 2 - 5 - 6)

-12a = 12

a = -\frac{12}{12}

a = -1

Thus

p(x) = -(x^3+2x^2-5x-6)

p(x) = -x^3 - 2x^2 + 5x + 6

6 0
3 years ago
Find the height of a cone with a volume of 942 cubic units and a radius of 10 units
Dmitry [639]
Volume of a cone: \frac{1}{3}\pir²h
Plug the radius and volume in the formula.

\frac{1}{3}\pi10²h = 942
Divide both sides by \frac{1}{3}.

\pi10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.
3 0
2 years ago
Movie tickets cost $7 for students and $9 for adults. A group of 8 people spent $66 on movie tickets. How many adult tickets wer
VLD [36.1K]
It would be 5 adults.
5 0
3 years ago
The number of phone calls between two​ cities, N, during a given time period varies directly as the populations p 1 and p 2 of t
kherson [118]

Answer:

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

Step-by-step explanation:

Given that,

The number of phone calls between two cities (N )

  • directly proportional as the value of populations p_1  and p_2  of two cities.
  • Inversely varies as the magnitude of distance (d).

N\propto\frac{p_1p_2}{d}

N=k.\frac{p_1p_2}{d}

Given that,

N=18,000, d=310 miles,  p_1=15,500 and p_2=180,000

18,000=k.\frac{15,500\times 180,000}{310}

\Rightarrow k=\frac{18,000\times310}{15,500\times 180,000}

\Rightarrow k=\frac{31}{15,500}

Now,

N=? , d=435 miles,  p_1=100,500 and p_2=160,000

N=\frac{31}{15,500}.\frac{100,000\times 160,000}{435}

\Rightarrow N\approx 73,563

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

5 0
3 years ago
This is flipping an image over the y-axis. The coordinates change from (x, y) to (-x, y).
raketka [301]
I think that is  a reflection  
4 0
3 years ago
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