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maria [59]
2 years ago
6

PLEASE ANSWER QUICKLY

Mathematics
1 answer:
Olegator [25]2 years ago
6 0

Answer:

x=3

Step-by-step explanation:

Set equations equal to each other:

x^3-3x^2+2=x^2-6x+11

Subtract two from both sides

x^3-3x^2=x^2-6x+9
Factor out x^2 from the left side

x^2(x-3)=x^2-6x+9

Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3

x^2(x-3) = (x-3)(x-3)

So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.

this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0

It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.

So one of the real solutions is at x=3

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4 0
3 years ago
If 3 is added to a number and the sum is multiplied by 3 the result is 7 times the number decreased by 9 find the numbers
Naya [18.7K]

Answer:   \frac{9}{2}

<u>Step-by-step explanation:</u>

3(3 + x) = 7x - 9

 9 + 3x = 7x - 9     <em>distributed 3 on the left side</em>

<u>       -3x</u>  <u> -3x     </u>

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<u>+9      </u>     <u>      +9 </u>

18       =  4x

<u>÷4      </u>    <u>÷4      </u>

  \frac{9}{2}      =   x

5 0
3 years ago
Althea paid five dollars each for two bracelets and later sold each for $15. She paid eight dollars each for three bracelets and
11Alexandr11 [23.1K]

Answer:

2(15 - 5) + 3(9 - 8)

Step-by-step explanation:

Profit for each $5 bracelet: 15 - 5

Profit for 2 $5 bracelets: 2(15 - 5)

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Profit for 3 $8 bracelets: 3(9 - 8)

Total profit: 2(15 - 5) + 3(9 - 8)

4 0
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Read 2 more answers
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Answer:

b. II and III

Step-by-step explanation:

A graph is a data presentation that has two axis - x and y, divided into appropriate scales.

A scale is used to divide given units into equal parts. It is crucial to and used to create uniformity in drawing of graphs. Choosing a good scale to represent an information on a graph is vital to avoid confusion. This can be done by considering the variations in the values forming the data.

In the question, the single graph shows an information about the bear population in two national parks. Thus, the scale of the y-axis must be adjusted and the identity of the two parks be more differentiated so as to make the graph less misleading.

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Please help me out on this! Thank you !
Pavel [41]

Answer:

98,100,A

Plz mark me brainliest.

Step-by-step explanation:

3 0
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