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iren [92.7K]
3 years ago
13

How to factor the trinomial 3 x^{2} + 8 -3

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
3x² + 8x - 3 = (3x - 1) (x + 3)
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Which of the following equations correctly shows the relationship between the values of x and the values of y?
Firdavs [7]
Every time the x goes up 1 the y goes up by 3
6 0
3 years ago
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An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, 1/3 are cats. Three four
navik [9.2K]

Answer:

21 rabbits

Step-by-step explanation:

⇒ <u><em>Given:</em></u>

<em>There are 126 animals at the shelter. </em>

<em>Of the animals, 1/3 are cats. </em>

<em>Three fourths of the remaining animals are dogs.</em>

<u><em>To Find:</em></u>

<em>How many of the animals are rabbits? Show your work.</em>

<u><em>Solve:</em></u>

<em>Since 1/3 are cats and the total is 126.</em>

<em>Then, 1/3 of 126 is 42.          {1/3 × 126 = 42}</em>

<em>Therefore,  there are 42 cats. </em>

<em>3/4 of the remaining animals, which is 84 are dogs. </em>

<em>Which 3/4 of 84 is 63.     { 3/4 ×  84 = 63 }</em>

<em> So there are 63 dogs. </em>

<em>Now adding dogs and cats together:</em>

<em>63 + 42 =  105 animals.</em>

<em>126 {Total} - 105{cat and cats} = 21 {rabbits}</em>

<em>Hence, there are 21 rabbits.</em>

<em />

<u><em>Kavinsky</em></u>

7 0
2 years ago
How many solutions does this equation have?<br><br> 20 − 15n + 11 = –20 − 18n
choli [55]

Answer:

n=17

step by step

simplify both sides

than add 18n to both sides

than subtract 31 from both sides

than divide 3 by both sodes

8 0
3 years ago
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For what is values of x does 4(3x-2) = 12x - 5? select all that apply.
Gnesinka [82]

Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

6 0
2 years ago
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The stock of Company A lost $2.55 throughout the day and ended at a value of $57.45. By what percentage did the stock decline?
KatRina [158]

Given:

Loss = $2.55

Value of stock after loss = $57.45

To find:

The percentage by which the stock decline.

Solution:

We have,

Loss = $2.55

Value of stock after loss = $57.45

Value of stocks before loss = Value of stock after loss + loss

                                              = $57.45 + $2.55

                                              = $60

Now,

\text{Percentage by which the stock decline}=\dfrac{\text{loss}}{\text{initial value}}\times 100

\text{Percentage by which the stock decline}=\dfrac{2.55}{60}\times 100

\text{Percentage by which the stock decline}=4.25%

Therefore, the stocks of the company declined by 4.25%.

7 0
3 years ago
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