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kondaur [170]
2 years ago
8

Find an equation with a solution of x = 2 of multiplicity 1 , and a solution of x = − 1 of multiplicity 2 .

Mathematics
1 answer:
luda_lava [24]2 years ago
7 0

We want to find an equation for the given solutions and the multiplicity of each solution.

The equation is:

0 = (x - 2)*(x + 1)^2

First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.

The equation, of a polynomial that meets these requirements, is given by:

0 = A*(x - x_1)^{m_1}*...*(x - x_n)^{m_n}

Where A is the leading coefficient and can be any real number.

Now that we know that, here we have the solutions:

  • x = 2 with multiplicity 2
  • x = -1 with multiplicity 2

We don't have information about the leading coefficient, so we assume it is equal to 1.

Then the equation is:

0 = (x - 2)*(x + 1)^2

If you want to learn more, you can read:

brainly.com/question/11536910

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6x &lt; -96 <br> solve for x
olchik [2.2K]

Answer: Anything greater then -16 (EX: -15, -14)

Work: This is a One-Step Inequality equation, meaning you just need to divide. You need to get x by itself, so you divide the 6 on both sides, but since there is a negative, you have to flip the sign. So, the answer is x > -16.

Check: 6(-15) > -96;   -90 > -96 < It's correct.

4 0
2 years ago
tickets for a harlem globetrotter show cost $28 general admission, $43 courtside, or $173 bench seats. Nine times as many genera
densk [106]

Answer:

general admission tickets  1170

courtside tickets  985

tickets bench seats.  130

Step-by-step explanation:

To solve the problem, it is necessary to generate a system of equations with the information provided by the statement.

First be

x = # general admission tickets

y = # courtside tickets

z = # tickets bench seats.

The first equation would be that they sold nine times more general admission tickets than bench seats tickets.

That is: x = 9 * z (1)

And the second equation is that the number of general admission tickets sold was 55 more than the sum of the number of courtside tickets and bench seats tickets.

That is: x = 55 + y + z (2)

Now the third equation would be the money raised.

28 * x + 43 * y + 173 * z = 97605 (3)

Now if I replace I rearrange (1):

z = x / 9 (4) and replacement in 2, I have:

x = 55 + y + x / 9, rearranging:

y = (8/9) * x - 55 (5)

Now replacing (4) and (5) in 3, we have:

28 * x + 43 * ((8/9) * x - 55) + 173 * (x / 9) = 97605

Solving the above:

x = 1170, therefore

y = (8/9) * 1170 55 = 985

z = 1170/9 = 130

We can confirm this with equation (3)

28 * x + 43 * y + 173 * z = 97605

28 * 1170 + 43 * 985 + 173 * 130 = 97605

5 0
3 years ago
Cost of a computer game: $32.00<br> Markup: 20%
aleksklad [387]

Answer:

38.4

Step-by-step explanation:

32×%20=6.4

32+6.4=38.4 new price

6 0
1 year ago
What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? Round your
Olegator [25]

Answer:

0.46\pi\ radians

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ units

assume

\pi=3.14

substitute

C=2(3.14)(5)=31.4\ units

step 2

Find  the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units

Remember that

The circumference of 31.4\ units subtends a central angle of 2\pi \ radians

so

using proportion

Let

x-----> the central angle in radians

\frac{2\pi}{31.4}=\frac{x}{7.2} \\ \\x=2\pi (7.2)/31.4\\ \\x=0.46\pi\ radians

7 0
3 years ago
Order the following from least to greatest 0.4,5/8,38%,0.5
Ber [7]
In order from least to greatest 0.4,5/8,38%,0.5 
4 0
3 years ago
Read 2 more answers
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