1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krek1111 [17]
3 years ago
12

A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

You might be interested in
Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
rewona [7]

Answer:

ratio of Sophia's sweets to Isabel's sweets is

13:8

6 0
3 years ago
Read 2 more answers
The controller of MingWare Ceramics Inc. wishes to prepare a cost of goods sold budget for September. The controller assembled t
zalisa [80]

The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:

<h3>Cost of Goods Sold Budget: </h3>

Beginning inventory of finished goods $11,850

Cost of goods manufactured                485,310

Ending inventory of finished goods      (12,670)

Cost of Goods Sold                          $484,490

<h3>What is the cost of goods sold budget?</h3>

The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.

The cost of goods sold budget is based on the cost of goods manufactured budget.

<h3>Data and Calculations:</h3>

Direct materials:                            Enamel        Paint     Porcelain      Total    

Total direct materials purchases

budgeted for September            $35,870    $7,530    $139,890  $183,290

Estimated inventory, September 1   1,730        4,150          6,920      12,800 Desired inventory, September 30 (2,980)      (2,710)         (7,150)    (12,840)

Materials used in production                                                          $183,250

Direct labor cost:           Kiln Department    Decorating Department   Total

Total direct labor cost

 budgeted for September    $51,550                   $149,500        $201,050

Finished goods inventories:             Dish       Bowl     Figurine             Total

Estimated inventory, September 1  $5,810   $3,310     $2,730        $11,850

Desired inventory, September 30    3,720    4,590       4,360         12,670

<h3>Cost of goods manufactured budget: </h3>

Work in process inventories:

 Estimated inventory, September 1      $3,540

Direct materials used in production $183,250

Direct labor costs                              $201,050

Total factory overhead costs             $99,450

 Desired inventory, September 30       (1,980)

Cost of goods manufactured           $485,310

<h3>Budgeted factory overhead costs for September: </h3>

Indirect factory wages $80,400

Depreciation of plant and equipment 10,550

Power and light 5,110

Indirect materials 3,390

Total 99,450

Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.

Learn more about the cost of goods sold budget at brainly.com/question/16868017

SPJ1

6 0
2 years ago
3. Find the value of p in each of the following when f(x) is divided by d(x), with the help of remainder theorem:
ipn [44]

The remainder theorem says that dividing a polynomial <em>f(x)</em> by a 1st-degree polynomial <em>g(x)</em> = <em>x</em> - <em>c</em> leaves a remainder of exactly <em>f(c)</em>.

(a) With <em>f(x)</em> = <em>px</em> ³ + 4<em>x</em> - 10 and <em>d(x)</em> = <em>x</em> + 3, we have a remainder of 5, so

<em>f</em> (-3) = <em>p</em> (-3)³ + 4(-3) - 10 = 5

Solve for <em>p</em> :

-27<em>p</em> - 12 - 10 = 5

-27<em>p</em> = 27

<em>p</em> = -1

(b) With <em>f(x)</em> = <em>x</em> + 3<em>x</em> ² - <em>px</em> + 4 and <em>d(x)</em> = <em>x</em> - 2, we have remainder 8, so

<em>f</em> (2) = 2 + 3(2)² - 2<em>p</em> + 4 = 8

-2<em>p</em> = -10

<em>p</em> = 5

(you should make sure that <em>f(x)</em> was written correctly, it's a bit odd that there are two <em>x</em> terms)

(c) <em>f(x)</em> = 2<em>x</em> ³ - 4<em>x</em> ² + 6<em>x</em> - <em>p</em>, <em>d(x)</em> = <em>x</em> - 2, <em>R</em> = <em>f</em> (2) = 18

<em>f</em> (2) = 2(2)³ - 4(2)² + 6(2) - <em>p</em> = 18

12 - <em>p</em> = 18

<em>p</em> = -6

The others are done in the same fashion. You would find

(d) <em>p</em> = 14

(e) <em>p</em> = -4359

(f) <em>p</em> = 10

(g) <em>p</em> = -13/2 … … assuming you meant <em>f(x)</em> = <em>x</em> ⁴ + <em>x</em> ³ + <em>px</em> ² + <em>x</em> + 20

8 0
3 years ago
Which are the maximum values ? I will add a picture please help
Alik [6]

Answer:

58 at the point (9,8)

7 at the point (1, 1)

Step-by-step explanation:

The maximum points will be found in the vertices of the region.

Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.

The vertices found are:

(1, 10)

(1, 1)

(9, 5)

(9, 8)

We look for the values of x and y belonging to the region, which maximize the objective function f(x, y) = 2x + 5y. Therefore we look for the vertices with the values of x and y higher.

(1, 10), (9, 5), (9, 8)

Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)

f(1, 10) = 2(1) + 5(10) = 52\\\\f(9, 5) = 2(9) + 5(5) = 43\\\\f(9, 8) = 2(9) + 5(8) = 58

The point that maximizes the function is:

(9, 8) with f(9, 8) = 58

Then the value that produces the minimum of f(x, y) is (1, 1)

f(1, 1) = 2(1) + 5(1) = 7

5 0
3 years ago
A gallon jug of milk is 5/6 full. After breakfast the jug is 1/12 full. Find the difference of the amounts before breakfast and
Oxana [17]
5/6=10/12

So 9/12 is the differemce
6 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP I AM STUCK!
    8·1 answer
  • A youth soccer field is a rectangle 110 yards long and 60 yards wide. A professional soccer field is a rectangular 110 yards lon
    14·1 answer
  • An animal shelter had a ratio of dogs to cats that’s 3:2. If there are 30 cats at the shelter, how many dogs are their?
    5·2 answers
  • Can somebody help me please . <br> #46
    9·1 answer
  • Ralph is sewing panels of fabric together to make a drape for the set of theatre production .The lengths of panels are 1.9 meter
    7·1 answer
  • Assignment
    8·2 answers
  • A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get
    5·1 answer
  • The circumference of a circle is 14 pi ft. Find its diameter, in feet
    12·2 answers
  • Using substitution, determine the solution<br> X=4<br> and.<br> y=2x+8
    8·2 answers
  • If you make a yearly income of $76,923.54 and are taxed 23% of your income, how much do you owe in taxes?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!