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MrMuchimi
2 years ago
8

−3(k+7)>−57 please help and solve

Mathematics
2 answers:
Nikolay [14]2 years ago
4 0

Answer:

k>12

Step-by-step explanation:

distribute -3 into the parenthesis

-3k-21>-57

add 21 on both sides

-3k>-36

divide both sides by -3

k>12

HOPE THIS HELPS!!!

Nuetrik [128]2 years ago
4 0

Answer:

k < 12

Hope this helps!

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You are preparing to tile the floor of a rectangular room that is 15.5 feet by 18 feet in size. The tiles you plan to use are sq
Artemon [7]

Answer:

C) No, after multiplying 15.5 by 18 you need to divide by 25 to determine the number of boxes.

Step-by-step explanation:

The dimensions of the rectangular room are 15.5 feet x 18 feet.  Which is a total area of:  15.5 x 18 = 279 ft².

The tiles being used are 12 inches x 12 inches or 1 foot x 1 foot.  Since there are 25 tiles in each box, it can cover an area of 25 ft ².  

When doing calculations with measurements, the measurements must be the same.  For instance, you can not divide square feet by inches because they are different measurements.  However, you can divide by square feet.  To the total square footage of the room (279 ft²) can be divided by the amount of square feet covered by each box (25 ft²):  279/25 = 11.16 or a minimum of 12 boxes would be needed.  

7 0
2 years ago
Find the Slope of the Line through each pair of Points : A) ( 8,7) (5 ,-3) B ( -5 ,9) (5, 11) C ( -8 ,4 ) ( -4, -9 ) Remember Sl
Bess [88]

Answer:

THE ANSWER IS THE FIRST ONE

Step-by-step explanation:

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8 0
2 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B6%7D%7Bx%20%7D%20%20%3D%204" id="TexFormula1"
Dennis_Churaev [7]
Multiply all terms by x

6 0
3 years ago
Slope of the line that passes through points (-3,4) and (5,-1)
Veronika [31]
When hav epoins (x1,y1) and (x2,y2)
slope is  (y2-y1)/(x2-x1)

(-3,4) and (5,-1)
slope=(-1-4)/(5-(-3))=-5/(5+3)=-5/8

slope=-5/8
6 0
3 years ago
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