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2 years ago

Find the Solutions to these problems.

Mathematics

1 answer:

bezimeni [28]2 years ago

8 0

I DON'T KNOW THE ANSWER BUT THANKS FOR THE POINT$

Step-by-step explanation:

I DON'T KNOW THE ANSWER BUT THANKS FOR THE POINT$

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Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

Which of the following expressions are equivalent to \dfrac{-10}{3}

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

I don't know how to explain it, but I hope I got it right and that it helped you.

7 0

2 years ago

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Angela is going on vacation to Mexico. She needs to buy new shirts for her trip. She buys 10 new shirts that cost her a total of

vivado [14]

Angela purchased 4 casual shirts and 6 dressy shirts.

$25 × 6 = $150
$18 × 4 = $72

$150 + $72 = $222

hope this helped :)

8 0

3 years ago

The sprit club is making school jackets to sell. The cost c (in dollars) for silkscreening supplies and jackets is c=20x+270, wh

lys-0071 [83]

Answer:

The club must sell 18 jackets to break even

Step-by-step explanation:

Given:

C = 20x + 270

Where,

x = number of jackets

Equation for revenue R in terms of the number of jackets

Revenue = price × quantity

Price of the jacket = $35

Quantity of the jacket = x

Revenue = price × quantity

= 35 * x

R = 35x

Break even point is the point at which cost is equal to revenue, that is, no gain; no loss.

Cost = revenue

20x + 270 = 35x

270 = 35x - 20x

270 = 15x

x = 270 / 15

= 18

x = 18 jackets

The club must sell 18 jackets to break even

3 0

3 years ago

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For the polynomial x5 – 2x6 + 3, which of these statement(s) is true? Select all that apply A. The polynomial is a trinomial. B.

Evgen [1.6K]

Answer:

A, B and D

Step-by-step explanation:

A. The polynomial is a trinomial.

A trinomial refers to a polynomial with three terms. This option is correct.

B. The degree of the polynomial is 6.

Degree refers to the highest power in the polynomial. This option is correct.

C. The leading coefficient is 1

This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.

D. Written in standard form, the polynomial is –2x6 + x5 + 3.

This is correct.

5 0

3 years ago