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4 years ago

How to solve? (x-3) (x+4) = x^2 + 4

2 answers:

8 0

First step, expand the left side (multiply together) (apply FOIL/distribution property)

2nd step, solve so that one side is zero, by adding/subtracting like terms

3rd step, solve for x

Tom [10]4 years ago

3 0

First, you have to multiply (x -3) times (x+4), which is x^2 + 4x - 3x -12 (because x times x +4 = x^2 + 4x, and -3 times x + 4 = -3x -12). So now we have the equation x^2 + 4x - 3x -12 = x^2 + 4. Subtracting x^2 from both sides, we get 4x - 3x - 12 = 4. Now we subtract 4 from both sides and get 4x - 3x - 12 -4. If we add/subtract the like terms, we get x - 16. Adding 16 to both sides, we get x = 16. I hope this helps! :D

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MaRussiya [10]

Answer:

Step-by-step explanation:

37/37+5=1+5=6

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3 years ago

Reflect the given triangle over<br> the y-axis.<br> 3 6 31<br> -3 3 3

dedylja [7]

Answer:(-3,6)(-31,-3)(-3,3)

Step-by-step explanation:

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4 years ago

The graph shows the proportions of blue paint and yellow paint that Briana mixes to make green paint. What is the slope of the l

kotegsom [21]

Answer:

Slope = ⅚

Step-by-step explanation:

Using the coordinates of two points in the graph, say (0, 0) and (6, 5).

$\frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{6 - 0} = \frac{5}{6}$

The slope of the graph is ⅚.

The slope represents the ratio of proportion of yellow paint to blue paint that must be mixed together to produce green paint.

This means, to make green paint, for every 5 parts of yellow paint, 6 parts of blue paint is required to be added as a mixture.

6 0

3 years ago

last year a large trucking company delivered 9.0x10^5 tons of goods with an average value of $17,000 per ton. what was the total

lana66690 [7]

The answer is 1.53x10^10 dollars.

You get this answer by multiplying the total amount of goods in tons (900,000) by the average value of the goods ($17,000 per ton) to get your answer of 1.53x10^10 dollars.

3 0

3 years ago

Read 2 more answers

In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow

Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0

3 years ago