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pshichka [43]
3 years ago
14

Let p: A number is greater than 25.

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

28 and 32

Step-by-step explanation:

24 is less than 25. 36 and 40 is more than 35

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Write the equation of the ellipse with center (4,2), vertex (9,2), and focus (4+2sqrt5,2)
dangina [55]

Answer : option B

Given: center (4,2), vertex (9,2), and focus (4+2sqrt5,2)

The distance between vertex and center is 9-4 = 5

Center is (h,k) so h= 4  and k =2

focus is (h+c,k)

From the given focus (4+2sqrt5,2), c= 2sqrt(5)

Standard form of equation is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

h= 4, k=2, a=5, c=2sqrt(5), we need to find out b

c^2 = a^2 - b^2

b^2 = a^2 - c^2

b^2 = 5^2 - (2\sqrt{5})^2

b^2 = 25 - 20

b^2 = 5

plug in all the values

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

\frac{(x-4)^2}{25} + \frac{(y-2)^2}{5}=1

Option B is correct

7 0
3 years ago
Find each unit price. 5 used books for $9.45
Olegator [25]

Answer:

$1.89 per used book

Step-by-step explanation:

Divide the total price ($9.45) by the amount of items (5) and you get the unit price of $1.89 per item

6 0
3 years ago
Charlie went to Juarez, Mexico, on a shopping trip. He bought silver rings at $5 each
Misha Larkins [42]

Answer:

7 bracelets & 10 rings

Step-by-step explanation:

I sadly don’t have the explanation because I’m trying to find it but I only have the answer

5 0
3 years ago
State the domain and range<br> of f(x) = x²
ANTONII [103]

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
HURRY PLEASE PLEASE
Olegator [25]

Polynomials are algebraic expressions represented by variables and coefficients.

<h3>(a) How to determine the interval the open seats increased</h3>

This is the interval, where the open seats increase the same time the time in minutes increases.

From the graph, the open seats increases at the interval (100, 600)

<h3>(b) The time the first meeting ended</h3>

This is the first point where the curve changes its direction from decreasing values to increasing values

From the graph, the curve changes its direction at point (25,100)

Hence, the first meeting ended at 10:25 AM

<h3>(c) When there were 700 open seats</h3>

From the graph, we have:

(x,y) = (5, 700)

Hence, there were 700 open seats at 10:05 AM

<h3>(d) The average rate of change from 10:00 AM to 10:25 AM</h3>

At 10:00 AM, we have:

(x,y) = (0,800)

At 10:25 AM, we have:

(x,y) = (25,100)

So, the average rate of change is:

m = \frac{y_2 -y_1}{x_2 -x_1}

This gives

m = \frac{100 - 800}{25 - 0}

m = \frac{-700}{25 }

m = -28

Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute

Read more about polynomials at:

brainly.com/question/4142886

7 0
2 years ago
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