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3 years ago

6

. Which table of x- and y-values represents a proportional relationship? (1 point) x 1 2 3 4 y 4 8 9 10 x 1 2 3 4 y 5 6 7 8 x 2

4 6 8 y 1 2 3 4 x 1.5 2 2.5 3 y 3 6 9 12

1 answer:

aalyn [17]3 years ago

3 0

X 2 4 6 8 y 1 2 3 4 is a proportional relationship since it is going by multiples of 2

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Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.

Nady [450]

Answer:

$x_4 = -5 + i$

Step-by-step explanation:

See comment for complete question.

From the complete question, we have:

$Zeros \to -2, -6, -5-i$

Required

Determine the other zero

The zeros can be represented as:

$x_1 = -2$

$x_2 = -6$

$x_3 = -5-i$

Considering the 3rd zero, which is a complex number.

If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero

A conjugate pair is given as:

$a + bi$ and $a - bi$

For $x_3 = -5-i$

The conjugate pair is:

$x_4 = -5 + i$

Hence, the other zero is: $-5 + i$

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3 years ago

Divide £143 in the ratio 2 : 11

OleMash [197]

Answer:

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Step-by-step explanation:

;)

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3 years ago

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Olin [163]

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3 years ago

The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

dolphi86 [110]

Answer:

$1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

Step-by-step explanation:

Given :

The Sahara Desert has an area of approximately 9,400,400 sq.km.

Depth = 150 m

To Find :Approximately how many grains of sand are in the Sahara Desert?

Solution:

Area of Sahara desert = 9,400,400 sq.km.

$1 km^2 = 1000000 m^2$

So, $9,400,400 km^2 = 1000000 \times 9400400 m^2$

$9,400,400 km^2 =9.4004 \times 10^{12}m^2$

Volume of sand = $Area \times depth$

= $1.41006\times 10^{15} m^3$

$1 m ^3 = 1000000 cm^3$

So, $1.41006\times 10^{15} m^3 = 1.41006\times 10^{15} \times 1000000cm^3$

$1.41006\times 10^{15} m^3 =1.41006 \times 10^{21}cm^3$

1 cubic cm holds grains of sand = 8000

$1.41006 \times 10^{21}cm^3$ holds grains of sand = $1.41006 \times 10^{21} \times 8000$

= $1.128048 \times 10^{25}$

Hence $1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

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3 years ago

Is 5/18 a rational number ?

pentagon [3]

Answer:

5/18 is a rational number because a rational number is any integer,fraction terminating decimal,or repeating decimal.

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