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nika2105 [10]
3 years ago
7

Match the compound inequalities

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

I one is 8x<24 and -8≤2x-4

Hence x <24/8 =3 and -4≤2x:  divide by positive 2 to get -2≤x

Hence solution is -2≤x<3

Therefore c is the correct matching for 1.

2) 5x-2>13 or -4x≥8  

i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)

Or x>3 or x ≤-2

Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.

Graph b is the correct match.

3) -25≤9x+2<20

Subtract 2

-27≤9x<18: Now divide by positive 9

-3≤x<2

Hence graph is the region between -3 and 2 including only -3.

Graph a is correct matching for question 3.

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A bad punter on a football team kicks a football approximately straight upward with an initial velocity of 89 ft/sec.
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Answer:

See below

Step-by-step explanation:

Vertical velocity will be affected by gravity in this scenario

df = do + vo t + 1/2 a t^2         do = original height = 4 ft      a = -32.2 ft/s^2

<u>df = 4 + 89 t  - 1/2 (32.2) t^2        df = height</u>

<u />

On the way up and the way down, the ball may reach height of 102.2125 ft :

102.2125 = 4 + 89 t - 1/2 (32.2) t2   re-arrange to:

-16.1 t^2 + 89t - 98.2125 =0  

      Use Quadratic Formula to find <u>t =   1.5 and 4.0 s </u>

6 0
2 years ago
Which expression represents 9 less than a number?
My name is Ann [436]

Answer:

x-9

Step-by-step explanation:

"Less than" switches the way of the expression.

If the "less than" was not there it would have been:

9-x

"Less" means subtract so you would subtract x from 9.

Hope this helped!

7 0
3 years ago
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How many significant figures does .00000004 have
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4 0
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The key for a stem and leaf plot is 3|4. which number is the stem? which number is the leaf?
Kisachek [45]

Answer:

The number 3 is the stem.

The number 4 is the leaf.

Step-by-step explanation:

The Stem and Leaf Plot is a mathematical table used for the graphical representation of a data set. It involves splitting each data value into a stem (typically the first number, on the left) and a leaf (the last number, on the right).

The stem list is used for grouping data value downwards while the leaf values move rightward from its respective stem values and it's used for showing each data value within a group.

Also, the key of a stem and leaf plot is used as a guide on how to read the data set.

For example, the key for a stem and leaf plot is 3|4. Thus, the number 3 is the "stem" and the number 4 is the "leaf."

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3 years ago
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