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aalyn [17]
3 years ago
15

Which of the following best describes the relationship between (x-2) and the polynomial 2x^3+x^2-3

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.

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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
2 years ago
In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose
stepan [7]
2 students have both their nose and ears pierced
6 0
3 years ago
-(1/x+3) +4
nlexa [21]

9514 1404 393

Answer:

  • left 3 units
  • up 4 units
  • shape: lower left image

Step-by-step explanation:

For a parent function f(x), the transformations ...

  g(x) = a×f(x -h) +k

cause ...

  • vertical expansion by 'a', reflection over x-axis if negative
  • right shift by 'h'
  • up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

  horizontal shift left 3 units

  vertical shift up 4 units

  reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)

4 0
2 years ago
Solve q-7 5/6=6 1/2 pllllleeeaassee
maw [93]
Q - 7 5/6 = 6 1/2
q = 6 1/2 + 7 5/6
q = 13/2 + 47/6 / multiply 13/2 by 3
q = 39/6 + 47/6
q = 86/6
8 0
3 years ago
Read 2 more answers
Need some help................
Diano4ka-milaya [45]

Answer:

its option B: r=(3xy)/(x-2y)

6 0
3 years ago
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