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g100num [7]
3 years ago
5

A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex

for a parabola modeled by y - 4 =
1
2
(x + 1)2.
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0
Hello :
<span>y - 4 = (x+1)²
h = -1    and  k=4
the vertex is : A(-1 ; 4)</span>
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Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i
Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\dfrac{4}{5}th of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \dfrac{4}{5}th of total paint used

                 = \dfrac{4}{5}\times 6.3

                 = 5.04

White paint = Total paint used - Blue paint

                   = 6.3-5.04

                   = 1.26

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

5 0
3 years ago
Evaluate f(x)=e2x−1+2 when x=3. Give an approximate answer rounded to three decimal places.
olganol [36]

Answer:

f(3) ≈ 17.310

Step-by-step explanation:

e = 2.71828

Step 1: Define

f(x) = e2x - 1 + 2

x = 3

Step 2: Substitute and evaluate

f(3) = e2(3) - 1 + 2

f(3) = 6e + 1

f(3) = 16.3097 + 1

f(3) = 17.3097

f(3) ≈ 17.310

7 0
3 years ago
Multiply 2 5/8 and -2 3/5
Rina8888 [55]

Answer:

-6 33/40

Step-by-step explanation:

2 5/8  * -2 3/5

Change each to an improper fraction

2 5/8 = (8*2+5)/8 = 21/8

2 3/5 = (5*2+3)/5 = 13/5

21/8 * -13/5

-273/40

Change to mixed number

40 goes into 273 6 times

6*40 = 240   273-240 =33

-6 33/40

8 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
hammer [34]
<u>Information:</u>

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

<u>Define x:</u>

Let x be the number of books sold.

<u>Construct Equation:</u>

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x 

<u>Solve x:
</u>
24.5x = 32634 + 8.75x 

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.
6 0
3 years ago
Is 2, 4, and 5 right
hram777 [196]
4 and 5 are right, but 2 isn't because consonants are the opposite of vowels. So, you wouldn't use a or e.
6 0
3 years ago
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