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shepuryov [24]
3 years ago
12

Which function is a quadratic function?

Mathematics
2 answers:
BigorU [14]3 years ago
8 0
It's the first oneeeeeeeeeeeeeee

inessss [21]3 years ago
6 0

Answer:

u(x) is the only quadratic function.

Step-by-step explanation:

We are given four algebraic functions in x and we have to find which one is a quadratic function.

Let us arrange those polynomials in descending powers of x.

i) u(x) = 3x^2-x-8

The highest degree is 2.  Hence this is quadratic function.

ii) v(x) = 8x^3+2x^2+9x

The highest degree is 3 and hence this is cubic

iii) y(x) = 3x^5+x^2+4

The highest degree is 5 and hence this cannot be quadratic

iv) z(x) = 2x^3+7x^2-3

The highest degree is 3 and hence this is cubic

Hence u(x) is the only quadratic function.

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rectangular solid that is 6-cm-by-6 cm-by-6 cm is painted on all six faces. then the solid is cut into cubes that measure 2 cm o
Nitella [24]
If you check the picture below

the rectangular solid is a 6x6x6, so all sides are equal thus is a cube

is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,

now, let's say each of those 6 faces are cut in 2cm

how many of those 2cm pieces will each have?   so get that amount for each and sum them up, that's how many of the cubes have one face painted

only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves

keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below

6 0
3 years ago
Read 2 more answers
PLZZ HELP!!!! ASAP PLZ!!!!<br> XTRA POINTS!!!
schepotkina [342]

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

3 0
2 years ago
Please show work<br> 26 lbs of onion cost $127.40. How much would 18 lbs cost\
Irina18 [472]
127.40/26 = $4.90 per pound
18 * 4.9 = $88.20
It would cost $88.20
5 0
3 years ago
Rotate the given triangle 90°
kati45 [8]

9514 1404 393

Answer:

  \left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

  \left[\begin{array}{cc}0&-1\\1&0\end{array}\right]

Then the rotated coordinates are ...

  \left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

_____

The transformation of each ordered pair is ...

  (x, y) ⇒ (-y, x)

4 0
3 years ago
Read 2 more answers
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9
Georgia [21]

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is \frac{m}{n}, then the proportion of their area is \frac{m^2}{n^2}.

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

\frac{x^2}{3^2}=\frac{9}{1}

\frac{x^2}{9}=\frac{9}{1}

x^2=9\cdot 9

x^2=81

Take positive square root as length cannot be negative:

\sqrt{x^2}=\sqrt{81}

x=9

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

4 0
3 years ago
Read 2 more answers
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