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2 years ago

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It is known that a polynomial has solution if -1 and 3i. What is the lowest possible degree polynomial with these solutions? (1)

1 (2) 2 (3) 3 (4) 4

1 answer:

agasfer [191]2 years ago

4 0

Answer:

(3) the polynomial has degree 3. If it were a complex coefficient polynomial, then the answer is 2.

Step-by-step explanation:

I am assuming it is a real coefficient polynomial, otherwise the answer will be 2. Since 3i is a root, then so is its conjugate -3i, therefore the polynomial is a multiple of (x-(-1)) *(x-3i) * (x-(-3i)) = (x+1) * (x²+9), which has real coefficients. Hence, its degree is atleast 3. Option (3) is correct

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According to the table below, what is the probability that a student chosen at random will be 16 or older?

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probability: 0.44

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3 years ago

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At a certain toy store, tiny stuffed zebras cost $3 and giant stuffed zebras cost $14. The store doesn't sell any

stepan [7]

Answer:

<h2><em><u>60</u></em></h2>

Step-by-step explanation:

tiny stuffed zebras(tsz)= $3

giant stuffed zebras(gsz)=$14

total sold=$208

208÷3=69.3recurring so that's incorrect as you cannot sell .3 of a zebra so keep going until you find the next whole number. (trial and error)

207÷3=69 but it cant be this as it is not the whole money made

208-14=194

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194-14=180

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3 years ago

A plant cell has length 6.6 times 10 Superscript negative 6 m and width 2.2 times 10 Superscript negative 6 m. What is the ratio

Vinvika [58]

The length/width ratio is 3/1 .

<em>l</em> = 6.6 × 10⁻⁶ m; <em>w</em> = 2.2 × 10⁻⁶ m

<em>l</em>/<em>w</em> = 6.6 × 10⁻⁶ m/2.2 × 10⁻⁶ m = 3/1

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3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago