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Anvisha [2.4K]
2 years ago
11

What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?

Mathematics
1 answer:
Paraphin [41]2 years ago
5 0

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


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A. 0.8y is the answer
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2 years ago
Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta
nadezda [96]

The amount paid by Heron for the video game  is $46.64.

Step-by-step explanation:

Here, the marked price of the video game  = $55

The discount percentage on the video game  = 20%

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\frac{20}{100}  \times 55  = 11

So, the discount offered on the video game  = $11

Selling Price  = Marked Price  - Discount

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Now,  the tax percentage on the video game  = 6%

Calculating 6% of the $44, we get:

\frac{6}{100}  \times 44  =2.64

So, the tax  on the video game  = $2.64

New Selling Price  = Selling Price  +  Tax

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So, the amount paid by Heron for the video game  is $46.64.

4 0
2 years ago
A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used
barxatty [35]
I hope this helps you

5 0
2 years ago
Read 3 more answers
HURRY BRAINLIEST AND 40 POINTS!!!
grandymaker [24]

Answer:

The answer is the first one and the last one.

Step-by-step explanation:

If an account cost $1 and each song is 1.5x. It has to be less than or equal to 25. So it would be $1 for (the account plus) 1.5x for (how many songs he buys) is less than or equal to 25 (the ammount on the gift card).

8 0
2 years ago
Read 2 more answers
16x^2-24x+7=0 equation and/or inequalities
Ivenika [448]
It is quadratic equation.
First we have find delta given by formula: delta=b^{2}-4ac
where our 
a=16
b=-24
c=7
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Because delta is positive, there is real results.
Now we can use next formula x=\frac{-b+ \sqrt{delta} }{2a}
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=\frac{24+ \sqrt{128} }{2*16} = \frac{3+ \sqrt{2} }{4}
x2=\frac{24- \sqrt{128} }{2*16} = \frac{3- \sqrt{2} }{4} 
5 0
2 years ago
Read 2 more answers
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