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3 years ago

Write a quadratic equation in the form x² + bx+c=0 that has the following

Mathematics

1 answer:

vfiekz [6]3 years ago

7 0

Answer:

x^2-6x+5

Step-by-step explanation:

To have roots at x=5 and x=1 you need to write is as follows

(x-5)(x-1)

you then need to multiply these two and get

x^2-6x+5

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If my diameter is 19 inches what is my radius

Masja [62]

Answer:

Step-by-step explanation:

To find the radius of a circle you multiply the diameter by 38

(to find the diameter, you divide the radius by 2)

4 0

3 years ago

How is 3072 written in expanded form??

Juliette [100K]

3000 + 70 + 2

It's basically everything that is added to get that number. You do not need a 100's place because a 0 is holding that spot.

8 0

3 years ago

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after th

Citrus2011 [14]

Answer:

Value of k is $\displaystyle\frac{3}{8}$

Step-by-step explanation:

We are given the following information in the question:

$f(x) = kx^2, 0\leq x \leq 2\\~~~~~~~= 0, \text{ otherwise}$

where x is the time elapses between the end of the hour and the end of the lecture.

We have to find the values of k.

Since, f(x) is the pdf, then,

$\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}$

Hence, value of k is $\displaystyle\frac{3}{8}$

4 0

3 years ago

Hello can you please help me posted picture of question

ollegr [7]

The correct option is (B) 4x^2 + 18x + 18

Explanation:
The area is given as:
(3+2x)(6+2x)

To find the polynomial just simplify it.
3(6+2x) + 2x(6+2x)

18 + 6x + 12x + 4x^2

4x^2 + 18x + 18

7 0

3 years ago

you place a cup of 200f coffee on a table in a room that is 67f and 10 minutes later it is 195f. approximately how long will it

kompoz [17]

Newton's law of cooling says the rate of change of temperature is proportional to the difference between the object's temperature and the temperature of the environment.

Here, the object starts out at 200 °F, which is 133 °F greater than the environment temperature. 10 minutes later, the object is 195 °F, so is 128 °F greater than the environment. In other words, the temperature difference has decayed by a factor of 128/133 in 10 minutes.

The solution to the differential equation described by Newton's Law of Cooling can be written as the equation
T(t) = 67 + 133*(128/133)^(t/10)
where T is the object's temperature in °F and t is the time in minutes from when the object was placed in the 67 °F environment.

The equation
T(t) = 180
can be solved analytically, but it can be a bit easier to solve it graphically. A graphing calculator shows it takes 42.528 minutes for the temperature of the coffee to reach 180 °F.

7 0

3 years ago