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alukav5142 [94]
2 years ago
11

X^2+2x+9=0 please?!​

Mathematics
2 answers:
Nadusha1986 [10]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0

We can solve for x using the quadratic formula

x² + 2x + 9 = 0 ← is in standard form

with a = 1, b = 2 and c = 9

x = ( - 2 ± \sqrt{2^2-(4(1)(9)}) / 2

  = ( - 2 ± \sqrt{4-36}) / 2

  = (- 2± \sqrt{-32}) / 2)

  = (- 2 ± \sqrt{16(2)(-1)}) / 2

  = ( - 2 ± 4i\sqrt{2}) / 2

  = \frac{-2}{2} ± \frac{4i\sqrt{2} }{2}

  = - 1 ± 2i\sqrt{2} → D

Crank2 years ago
3 0

Answer:

Choice D is the answer.

Step-by-step explanation:

We have given a quadratic equation.

x²+2x+9 = 0

We have to find the solution of given equation.

From given equation, a = 1, b = 2 and c = 9.

x = (-b±√b²-4ac) / 2a is quadratic formula to find the solve quadratic equation.

Putting given values in formula, we have

x = (-2±√(2)²-4(1)(9) ) / 2(1)

x = (-2±√4-36) / 2

x = (-2±√-32) / 2

x = (-2±√16√-2 ) /2

x = (-2±4√2√-1) / 2                                 ∵ i = √-1

x = 2(-1±2√2i) / 2

x = -1±2√2i is the solution of given solution.

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Answer:

<em><u>x = 5/4</u></em>

Step-by-step explanation:

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<em><u>x = 5/4</u></em> ||| Solve

8 0
3 years ago
Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales
nadezda [96]

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer.  Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by.  Does that help?

8 0
2 years ago
8
harkovskaia [24]

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

6 0
2 years ago
Simplify 4√16 + 8√16
Mumz [18]

4\sqrt{16} + 8\sqrt{16}:

Since \sqrt{1} =1, we get:

4\cdot \:1\cdot \:6+8\cdot \:1\cdot \:6=24+48=72

-----------------------------------------------------------------------------------

7\sqrt{4} *3\sqrt{8}

We have \sqrt{4}=2

simplify \sqrt{8} = \sqrt{2^3} = \sqrt{2^2*2}

then the radical rule is used: \quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

⇒ \sqrt{2^2*2} = \sqrt{2^2} \sqrt{2}= \sqrt{4}\sqrt{2} =2\sqrt{2}

Now we have \sqrt{4}=2 and \sqrt{8}=2 \sqrt{2}

7\sqrt{4} *3\sqrt{8} = 7*2*3*2\sqrt{2} = 84 \sqrt{2}

-----------------------------------------------------------------------------------

2\sqrt{4}+5 \sqrt{9}

2\sqrt{4} =2*2= 4 and 5\sqrt{9} =5*3= 15

2\sqrt{4}+5 \sqrt{9} = 4+15 = 19

-----------------------------------------------------------------------------------

4\sqrt{5} -2\sqrt{5} = 2\sqrt{5}

since 2\sqrt{5} is the half of 4\sqrt{5}

-----------------------------------------------------------------------------------

-4\sqrt{2}\:+\:5\sqrt{2} =1 \sqrt{2} = \sqrt{2}\\    <em>(-4+5=1)</em>

4 0
2 years ago
Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)
ki77a [65]

Answer:

j(s) = 0.05s -500

Step-by-step explanation:

Given

Base\ Salary = 2000

Commission = 5\% on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

j(s) = 2000 + 5\% * (s - 50000)

Convert % to decimal

j(s) = 2000 + 0.05 * (s - 50000)

Open bracket

j(s) = 2000 + 0.05 * s - 0.05 * 50000

j(s) = 2000 + 0.05s - 2500

Collect Like Terms

j(s) = 0.05s - 2500 + 2000

j(s) = 0.05s -500

3 0
3 years ago
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