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1 year ago

NO LINKS!!!14. Consider the table

Mathematics

2 answers:

iVinArrow [24]1 year ago

5 0

Answer:

(a) rate of change = 8

(b) Function: y = 8x

Range: 0 ≤ y ≤ 16

Explanation:

Looks like a inverse variation sequence.

Inverse Variation formula: y = k(x)

Take two points: (1, 8), (2, 16)

Find the value of k which is constant also considered as rate of change.

Insert values:

8 = k(1)

k = 8

===========

16 = k(2)

k = 8

Equation: y = 8x

Domain lies in the x axis, Range lies in the y axis.

Here domain: 0 ≤ x ≤ 2

Here range: 0 ≤ y ≤ 16

abruzzese [7]1 year ago

4 0

(1,8)
(2,16)

Slope

m=16-8/2-1
m=8

Equation

y=8x+0
y=8x

Domain:-

Set of x values

[0,2]

Range:-

Set of y values

[0,16]

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3 years ago

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -5, 8, -2

Roman55 [17]

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

Explanation:-

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

Final answer:-

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

3 0

3 years ago

Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 10, 1, 10, 15, 1, 7, 10, 10, 1, 6

klemol [59]

First order the data:
1, 1, 1, 6, 7, 10, 10, 10, 10, 13, 15
the mean is all the numbers added together divided by how many there are, 1 + 1 + 1 + 6 + 7 + 10 + 10 + 10 + 10 + 13 + 15 = 84 84/11 = 7.636364 ≈ 7.6
the median is the number in the middle of the list, count numbers from each end, until you either have one or two left, if one left then its that one, if two left then its half way between the two
the median for your set is 10
The mode is the most common number, in your set 10

5 0

3 years ago

NO LINKS!!!14. Consider the table​

NO LINKS!!!14. Consider the table