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Arte-miy333 [17]
3 years ago
11

5x(2x-y) -3y(2+3x) expand and simplify​

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

10x² - 14xy -6y

Step-by-step explanation:

5x(2x-y)-3y(2+3x)

10x²-5xy-6y-9xy

10x² - 14xy - 6y

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3 over 20 is the fraction in simplest form.
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What is the center and radius of the circle with equation (x - 2)^2 + (y - 5)^2 = 100?
ololo11 [35]
Answer: 
Center = (2,5)
Radius = 10
Choice A

To find this answer, first write the equation 
(x-2)^2 + (y-5)^2 = 100
into 
(x-2)^2 + (y-5)^2 = 10^2

Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

We see that (h,k) = (2,5) is the center
and r = 10 is the radius
5 0
3 years ago
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Maggie is standing on a platform that is 8 feet above the ground. She throws a ball in the air that hits the ground after 2 seco
Paha777 [63]

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

<h3>How to find the free fall formula for a given scenario</h3>

An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:

h =h_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2} (1)

Where:

  • h_{o} - Initial height, in feet.
  • v_{o} - Initial speed, in feet per second.
  • t - Time, in seconds.
  • g - Gravitational acceleration, in feet per square second.

If we know that t = 2\,s, h_{o} = 8\,ft, h = 0\,ft, g = -32.174\,\frac{ft}{s^{2}}, then the height formula is:

0 = 8 +2\cdot v_{o} - \frac{1}{2}\cdot (32.174)\cdot (2)^{2}

0 = -56.348+2\cdot v_{o}

v_{o} = 28.174\,\frac{ft}{s}

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105

5 0
3 years ago
The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
sally has a pet snail that snail fell in the well the well is 16 feet deep. each day the snail climbs up 5 feet but each night i
vlada-n [284]

<em>Answer:</em>

<em>The net speed per 24 hours is 5 - 4 = 1 foot.  </em>

<em>1 ft / 24 hrs = 16 ft / x hrs  </em>

<em> </em>

<em>16 * 24 hrs = 16 days (384 hrs) </em>

<em />

3 0
3 years ago
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