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3 years ago

I need help with this

Mathematics

1 answer:

oee [108]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

It is usually useful to consider the inequalities by looking at variable terms with positive coefficients in relation to the inequality symbol. If the inequality symbol includes the "or equal to" case (≤ or ≥), then the boundary line is solid. Otherwise, it is dashed.

A. y ≥ ... means shading is above the (solid) line

x² < ... means shading is between (dashed) limits on x

This shading matches the graph.

B. y ≤ ... means shading is below the line

x² > ... means shading is outside limits on x (left of left limit, or right of right limit)

This shading is the reverse of that shown in the graph.

C. y ≤ ... means shading is below the line

x² < ... means shading is between limits on x

This shading matches the blue, but not the red.

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I If the game with 3 hits is considered to be recorded in error, it might be removed from the data set. If that happens a. What

Flura [38]

Answer:

If the game with 3 hits is ignored the data becomes:

7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11

a) The mean will increase.

(3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9

<u>Without 3:</u>

(7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21

b) The median will remain as is.

With 3 and without the median is same = 9

7 0

3 years ago

If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x-15), and m cdf= 43, find each measure.

Sergio [31]

Answer:

x = 7°

<GDH = 112°

<FDH = 192°

<FDE = 135°

Step-by-step explanation:

If DE bisects <GDH this means that <GDE = <EDH

Given <GDE = (8x+1)° and <EDH = (6x+15)° then;

8x+1 = 6x+15

8x-6x = 15-1

2x = 14

x = 7°

Since <GDH = <GDE + <EDH

<GDH = 8x-1+6x+15

<GDH = 14x+14

<GDH = 14(7)+14

<GDH = 98+14

<GDH = 112°

For <FDH,

Note that sum of angle on a straight line is 180°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDG = 180-(43+8x+1)

<FDG = 180-44-8x = 136-8x

<FDH = 136-8x+112

<FDH = 248-8x

<FDH = 248-8(7)

<FDH = 248-56

<FDH = 192°

For <FDE;

<FDE = <FDG + <GDE

<FDE = 136-8x+8x-1

<FDE = 135°

7 0

3 years ago

Write down the first 5 terms of n squared + n

Alex73 [517]

Answer:

2, 6, 12, 20, 30

Step-by-step explanation:

To find the first 5 terms substitute n = 1, 2, 3, 4, 5 into the expression

n = 1 → 1² + 1 = 1 + 1 = 2

n = 2 → 2² + 2 = 4 + 2 = 6

n = 3 → 3² + 3 = 9 + 3 = 12

n = 4 → 4² + 4 = 16 + 4 = 20

n = 5 → 5² + 5 = 25 + 5 = 30

4 0

4 years ago

Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is

Xelga [282]

Answer:

The explicit form f(n) is $a_{n} = a +(n-1)(a+1)$

Step-by-step explanation:

A sequence is arithmetic if the difference between each consecutive terms is a constant.

The explicit formula of an arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$

Where d is the common difference, a1 is the first term of the sequence and an is the nth term.

In order to obtain the common difference, you have to subtract two consecutive terms:

For the first and second terms:

2a+1 - a = a+1

For the second and third terms:

3a+2 - (2a+1)=

Applying the distributive property:

3a+2-2a-1= a+1

Notice that the difference of any two consecutive terms is the same. Therefore:

d=a+1

Also, a1=a (The first term)

Replacing in the explicit formula:

$a_{n} = a +(n-1)(a+1)$

4 0

4 years ago

Please help need a 100!!!

kari74 [83]

S= (pi times r times l) + (pi times radius squared)

Factor out the pi times r

S= (pi times r) l + r

Divide

S/(pi times r)= l + r

Find common denominator and subtract

(S- pi times r)/(pi times r) = l

The answer therefore is A

4 0

3 years ago

Read 2 more answers