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Sladkaya [172]
2 years ago
8

The price per night for a hotel room is different at three different hotels.

Mathematics
1 answer:
ddd [48]2 years ago
4 0

Answer:

B

Step-by-step explanation:

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If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes
anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

( { - k)}^{2}  - 4(30) = 169

{  k}^{2}  -120= 169

k^{2} = 289

k=  \pm \sqrt{289}

k=  \pm17

We substitute the values of k into the equation and solve for x.

f(x) = {x}^{2}   \pm17x + 30

f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

5 0
2 years ago
A side of a regular six - sided polygon is 8cm long. The perimeter of a similar polygon is 60cm. What is the length of a side of
Lerok [7]

Answer:

  10 cm

Step-by-step explanation:

The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:

  (60 cm)/6 = 10 cm . . . length of a side

4 0
2 years ago
What is the volume of the composite figure?
m_a_m_a [10]
We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l  and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h  and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³

The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²

The answer is 6,000 units².
5 0
1 year ago
Read 2 more answers
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion ring
crimeas [40]

Answer:

3x + 6y

x = sliders

y = onion rings

Step-by-step explanation:

2:1 ratio of onion rings to sliders, add them 200+70+70 = 340,

then 1020/340 = 3, then input into an equation remembering the ratio of onion rings to sliders

7 0
2 years ago
Hich expression is equivalent to -4(7 - 2m) + 11m?
Sholpan [36]

Answer:

- 4(7 - 2m) + 11m \\ =  - 28 + 8m + 11m \\ =   \boxed{19m - 28}

<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>

3 0
1 year ago
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