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liberstina [14]
3 years ago
8

Evaluate the function(x) = 11 – 3xfor -2).​

Mathematics
1 answer:
il63 [147K]3 years ago
3 0

Answer:

<h2>17</h2>

Step-by-step explanation:

f(x) = 11 - 3x

f(-2) - <em>put x = -2 to the f(x):</em>

<em />

f(-2) = 11 - 3(-2) = 11 + 6 = 17

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The answer to this maths question
Travka [436]

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

\dfrac{2.04}{4}=0.51

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

\dfrac{4.68}{9}=0.52

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

3 0
3 years ago
Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

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7 0
2 years ago
Read 2 more answers
The table represents a linear function.
Iteru [2.4K]

What are the x values of the table?

3 0
3 years ago
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
Triangle DEF has vertices located at D (2, 1), E (3,5), and F (6,2).
IRINA_888 [86]

Answer:

(A)

Length of DE = √17

EF = √18

DF = √17

(B) Slope of DE = 4

EF = 1

DF = 1/4

(C) Isosceles triangle.

Step-by-step explanation:

See attached image.

3 0
3 years ago
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