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2 years ago

Zane buys a standard class train ticket.

Mathematics

2 answers:

GaryK [48]2 years ago

6 0

Step-by-step explanation:

15 / 100 × 34

5.1 price he save

Naily [24]2 years ago

6 0

15/100 x 34 = 5.1 he will be saving
Then 34 - 5.1= 28.9 it is

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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

3 years ago

Find the slope of the line that passes through the pair of points. (4, 5), (10, 0) 5/6 -5/6 -6/5 6/5

yanalaym [24]

Use the slope formula $\dfrac{y_2-y_1}{x_2-x_1}$ and plug in the values for x and y.
$\dfrac{0 - 5}{10 - 4} = \dfrac{-5}{6}$

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2 years ago

EMERGENCY Triangles ABC and DEF are similar. Find the length of the segments EF and DF

Gala2k [10]

Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

7 0

2 years ago

Make 'm' the subject of the formula'k=3m-2

zaharov [31]

Answer:

$m = \frac{k + 2}{3}$

Step-by-step explanation:

$k = 3m - 2 \\ 3m = k + 2 \\ m = \frac{k + 2}{3}$

4 0

3 years ago

Read 2 more answers

In a population of grasshoppers, the ratio of grasshoppers with a white marking to those without a white marking is 2:3. An ento

LekaFEV [45]

Answer:

D. 116

Step-by-step explanation:

Let the grasshoppers with a white marking be 2x.

Let the grasshoppers without a white marking be 3x.

2x + 3x = 290

5x = 290

x = 290 / 5

x = 58

The grasshoppers with a white marking

= 2x

= 2 ( 58 )

= 116

3 0

2 years ago