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

1 answer:

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.

Another way to solve this is to use the ratios, but simplify the first fraction

6/8 = 3/4

Then multiply the length of the shadow by 3/4

3/4 × 28 = height

28÷4 = 7 7 × 3 = 21

21 feet= the height of the palm tree.

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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

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3 years ago

-(1/x+3) +4

nlexa [21]

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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 before the translation.)