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krok68 [10]
2 years ago
14

One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. Yo

ur teacher has asked you to explain the four steps and their application to the problem that follows.
Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, how many did Elena steal?

Using the four steps from this lesson, write and solve an equation to find the number of bases Elena stole.
The steps are Choose a variable to represent the unknown.
Write an equation.
Solve the equation.
Check the solution for reasonableness.
Mathematics
1 answer:
Sidana [21]2 years ago
8 0

Answer:

Step-by-step explanation:

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The adjusted trial balance of Smith Sign Company follows:
Oksana_A [137]

Following are the general entry to the given question:

For Question 1:

Date             Account Titles and Explanation                   Dr              Cr

31-Jan-2024              Revenue Service                      $17,500  

                                   Summary of Income                                    $17,500

                             (Finishing the revenue account)  

31-Jan-2024     Summary of Income                        $7,100  

                                  Expense of Salary                                     $3,600

                                   Expense on rent                                             $1,800

                        Expense of Depreciation - equipment                   $300

                               Expense on Supplies                                            $400

                                 Expense on Utilities                                           $1,000

                           (To close the expenditure account)  

31-Jan-2024    Summary of Income                           $10,400  

                                Retained Earnings                                    $10,400

                 (To bring net income into line with retained profits)  

31-Jan-2024           Retained Earnings                       $1,000  

                                             Dividend                                             $1,000

               (To close net dividend to retained earnings)  

For Question 2:

A net income of $10,400 is generated. They may compute it by subtracting total expenses from the entire revenue.

Total Revenue= $17,500

Total Expenses=$7,100

\text{Net Income= Total Revenue-Total Expenses}

                  \bold{= \$17,500 - \$7,100} \\\\ \bold{=\$10,400}

  • Please find the complete question in the attachment file.

Learn more:

brainly.com/question/14695332

4 0
2 years ago
The area of a rectangle is 64 square centimeters. The rectangle is 4 centimeters wide. How long is the rectangle.
VLD [36.1K]
The Area is the width<span> times the </span>height<span>: A = w x h;
Then, 64 = w x h;
h = 4 + w;
64 = 4w  + w^2;
w^2 + 4w - 64 = 0;
We solve this equation: w1 </span>≈ 6,24 > 0 (okay); w2 ≈ - 10,24 < 0 (not okay);
<span>Finally, h1 </span>≈ 10,24;<span>

</span>
4 0
3 years ago
SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

6 0
3 years ago
Find the missing values for the exponential function represented by the table below.
postnew [5]

Answer:

d. 13.5, 20.25

Step-by-step explanation:

An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.

The common ratio is 6/4 = 3/2.

The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.

The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.

8 0
3 years ago
Use the graph below to find the equation that it represents.
hoa [83]

Answer:

looking at the image it forms

the equation it'll make B: y= -2x -4

each dot will equal -2 and the dot is maybe one 2 but thats due to the problem of 4-2x1 so it's marked on 2 instead of four incase it throw you off of thy answer of B

4 0
3 years ago
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