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jolli1 [7]
3 years ago
8

A parabola can be drawn given a focus of (1, 10) and a directrix of

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

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Which graph could be used to show the situation described?
valentina_108 [34]
C. hope this helps :)
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3 years ago
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Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil
Alecsey [184]

Answer:

<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs=  t

Daffodil bulbs= d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t+ 6d= 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t+ 4d= 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t+ 6d-6t  = 78-6t  

6d/ 6= (-6t+78)/6

d= -t+13

Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t+ 4(-t+13) = 62

6t- 4t+52 = 62

2t = 10

<u>t= 5</u>

Substituting t=5 for the value of t in equation 1, and solve of d.

6(5)+ 6d= 78

30+ 6d= 78

6d=48

<u>d=8</u>

<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>

4 0
4 years ago
Select the best answer for the question.
hoa [83]

c is the correct answer

8 0
3 years ago
Read 2 more answers
All the edges of a regular square pyramid have length 8 . What is the:
user100 [1]

Answer:

vol=BX1/3 h

=64* 1/3 square root of 32

Step-by-step explanation:

5 0
3 years ago
A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purch
galben [10]

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the men,

x = 318

n1 = 520

p1 = 318/520 = 0.61

For the women

x = 379

n2 = 460

p2 = 379/460 = 0.82

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]

= 1.96 × √0.0004575 + 0.00032086957)

= 0.055

Confidence interval = 0.61 - 0.82 ± 0.055

= - 0.21 ± 0.055

3 0
3 years ago
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