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maria [59]
3 years ago
13

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.​

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

k=-11

Step-by-step explanation:

x^{3}+4x^{2}+kx-30

if x-3 is a factor,

(3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11

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A. 220<br>B. 55<br>C. 110<br>D. 25​
dlinn [17]

Answer:

The answer should be C

3 0
3 years ago
If a line has a slope of -5/6 a line that is parallel has a slope of what
attashe74 [19]

Hello there! :)

Parallel lines have the same slope.

We are given that one line has a slope of -5/6.

The line parallel to it has a slope of -5/6 as well.

Hope it helps.

Please mark brainliest.

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Good luck.

7 0
2 years ago
Terrell Trucking Company is in the process of setting its target capital structure. The CFO believes that the optimal debt-to-ca
Eduardwww [97]

Answer:

40% or 0.4

Step-by-step explanation:

The optimal capital structure (OCS) of a firm is defined as "the proportion of debt and equity that results in the lowest weighted average cost of capital (WACC) for the firm"

The brief explanation of this is that OCS is the factor used by a company in maximising their stock price, and this generally calls for a Debt-to-capital or "Debit-to-equity" ratio.

From the table above, the company's stock ratio is highest or maximised at 37.75 (under Projected Stock Price Column)

This can be traced to 40% under Debt/Capital ratio column

Hence, the Debt/Capital Ratio of 40%,

Because it must equate to 100%, we say that the firm's optimal capital structure is 40% debt and 60% equity.

This is also the debt to capital ratio, where the firms WACC is minimized.

5 0
4 years ago
On a coordinate plane, point M is located at (-5,1) and point N is located at (-5,8)
Free_Kalibri [48]

Answer:

7 units

Step-by-step explanation:

d=√(x2-x1)² + (y2-y1)²

x1=-5

x2=-5

y1=1

y2=8

d=√(-5--5)² + (8-1)²

d=√0² + 7²

d=√49

d= 7 units

4 0
4 years ago
THIS IS SO HARD CAN SOMEONE HELP ME PLS:(
Rudik [331]

Answer:

65

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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