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Rom4ik [11]
2 years ago
10

Equations Of Parabolas (Conics) Unscramble

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

The match is shown in the picture for the function of a parabola and the graph of a parabola.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

As we know the standard form of the parabola is:

y = a(x - h)² + k

If a > 0 (parabola opens upwards)

If a < 0 (parabola opens downwards)

or

x = a(y - h)² + k

If a > 0 (parabola opens right side)

If a < 0 (parabola opens left side)

Here (h, k) is the vertex of the parabola and a is the leading term.

Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

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2100 +809 equals ?????
lord [1]
2100 + 809 equals to 2909.
6 0
4 years ago
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Can someone help me I need to know the unit rate of:
sladkih [1.3K]

Answer:

A. 60 miles per hour

B.120 customers per day

C.2.5 meters per second

D. $1.59  per pound

Step-by-step explanation:

Here we are asked to determine the unit rate for each one of the options given. By unit rate we mean the quantity for per unit quantity . Hence in order to find that we divide the two and quotient is our unit rate. Let us see how:

A. 420 miles in 7 hours

Unit rate = \frac{420}{7}

Unit rate = 60 miles per hour

B. 360 customers in 30 days

unit rate = \frac{360}{30}

Unit rate = 120 customers per day

C. 40 meters in 16 seconds

Unit rate = \frac{40}{16}

Unit rate = 2.5 meters per second

D. $7.96 for 5 pounds

Unit rate = \frac{7.96}{5}

Unit rate = $1.59  per pound

3 0
3 years ago
What is 6.25 as a fraction?
Alik [6]
Wells since there's a decimal theres a whole number so its 6 and .25 as a fraction is 1/4 so its 6 1/4
4 0
3 years ago
Read 2 more answers
Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhat
frozen [14]

Answer:

a)

Brooklyn to Long Island = 0 books

Brooklyn to Manhattan = 1000 books

Queens to Long Island books  = 1500 books

Queens to Manhattan books = 500 books

b)

YES

Step-by-step explanation:

This is a equation's system with 4 unknown variables ( the number of the 4 kinds of shippings performed) , lets call the 4 variables like this:

  • a: Brooklyn to Long Island books
  • b: Brooklyn to Manhattan books
  • c: Queens to Long Island books
  • d: Queens to Manhattan books

Now, let´s see what we know:

1) First we know that each bookstore has asked for 1500 books so:

  • 1500= b+d => b= 1500-d (1)
  • 1500= a+c=> a= 1500-c (2)

2) We also know that the total amount spent  in transportation is 9000$ at the given individual trasportattion prices

9000$= 5$*a+1$*b+4$*c+2$*d

=> 9000= 5a+b+4c+2d

=> c= (9000-5a-b-2d)/4 (3)

3) Finally, we know that the since we have a total number of books in the two warehouses of 3000 books, the same quantity that is demanded by the two bookstores, all the books are delivered.

So , in Brooklyn there are 1000 books that can be delivered to LI or Manhattan:

  • 1000 = a+b => a= 1000-b (4)

and in Queens there are 2000 books:

  • 2000 = c+d => d= 2000-c (5)

Now, formulas (2) and (4) are equal to a, so they are equal to each other

1000-b= 1500-c => b= c-500 (6)

Now lets solve by substitution in formula (3):

c= (9000-5a-b-2d)/4

=> 4c= 9000-5a-b-2d

=> 4c= 9000-5( 1500-c)- (c-500)-2*(2000-c)

=> 4c= -3000+6c =><em> c=1500</em>

Then:

  • d= 2000-c= 2000-1500=><em> d=500.</em>
  • b= c-500 => <em>b= 1000</em>
  • a=<em> </em>1500-c <em>=> c= 0</em>

b) If we look at the trsnportation prices the cheaper is from Brooklyn to Manhattan, so lets try to maximize this tranportation.

In Brooklyn we have 1000 books, and we need 1500  in Manhattan, so lets do all the the shipping from brooklyn to Manhattan.:

  • 1000 books *1 $/ book= 1000$

We will need 500 additional books from Queens at 2$/ book:

  • 500 books * 2 $/book = 1000$

Then the 1500 books left in Queens will be shipped to Long Island at a price of 4$/ book:

  • 1500 books * 4 $/book= 6000$

Total amount spent = 1000$+1000$+6000$ = 8000$

3 0
3 years ago
3
MatroZZZ [7]

Answer:

  ...; 0; 22

Step-by-step explanation:

The pattern appears to consist of two interleaved arithmetic sequences.

__

  Odd-numbered terms increase by 5: 2, 7, 12, 17, 22.

  Even-numbered terms decrease by 6: 18, 12, 6, 0.

The next two terms are 0 and 22.

8 0
2 years ago
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