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Mashcka [7]
3 years ago
8

Can someone please answer questions 12 through 17. I am having some trouble on this unit.

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
12. 
8 = k(-4)
k = -2

13.
15 = k(6) 
k = 5/2

14. 
3 = k(9)
k = 1/3

15. 
-4 = k(4)
k = -1

16. 
No, y does not vary directly with x

17. 
Yes,
y = 5x/2
Roman55 [17]3 years ago
3 0
12.
 y = kx
8 = -4k
so k = -2

y = -2x
y = -2 (7)
y = -14

13.

y = kx
15 = 6k
so k = 15/6 = 2.5

y = 2.5x
y = 2.5 (7)
y =17.5

14.

y = kx
3 = 9k
so k = 3/9 = 1/3

y = 1/3x
y = 1/3 (7)
y =7/3

15

y = kx
-4 = 4k
so k = -4/4 = -1

y = - x
y = - (7)
y = -7

16.
Yes. y varies directly with x

slope = (3+6)/(2+1) = 9/3 = 3

y = mx + b
-6= 3(-1) + b
 b = -6 + 3 = -3

equation y = 3x -3

17. 
Yes
slope = (2.5 - 7.5)/(-1+3) = -5/2 = -2.5

y = mx + b
7.5= -2.5(-3) + b
7.5 = 7.5 + b
so b = 0
equation

y = -2.5x

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sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

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3 years ago
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stiks02 [169]
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Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

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