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Stolb23 [73]
3 years ago
14

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
sashaice [31]3 years ago
7 0

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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What percent of 350 is 252? Show all work for full credit.
Agata [3.3K]

Answer:

Solution for 252 is what percent of 350:

252:350*100 =

(252*100):350 =

25200:350 = 72

Step-by-step explanation:

pls Mark my answer in brainlist and follow me

4 0
3 years ago
Read 2 more answers
The length of a rectangular field is 6 metres longer than its width. If the area of the field is 72 square metres, What are the
True [87]

Answer:

Let's call the length of the field "l", and the width of the field "w".

If the area of the field is 72 square meters, then we have:

l x w = 72

And if the length is 6 meters longer than the width, we have:

l = w+6

So looking at the first equation (l x w = 72), we can substitute the l for a w+6.

And we obtain:

(w+6) x (w) = 72

Which simplifies to w^2 + 6w = 72.

This quadratic equation is pretty easy to solve, you just need to factor it.

w^2 + 6w - 72 = 0

(w-6)(w+12)

This leaves the roots of the  quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.

So, the width of the rectangular field is 6, and the length of the field is 12.

Let me know if this helps!

5 0
3 years ago
Naomi is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1 per m
Akimi4 [234]

Answer:

12.5; y = 1x + 3.50

Step-by-step explanation:

3 0
3 years ago
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Please answer this question now
lord [1]

Answer:

112°

Step-by-step explanation:

By inscribed angle theorem:

m\widehat {BCD} = 2\times m\angle BAD\\\therefore m\widehat {BCD} = 2\times 129\degree \\\therefore m\widehat {BCD} = 258\degree\\\\\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\\therefore m\widehat{CD} = 258\degree - 146\degree \\\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}}

6 0
3 years ago
Please help me with this, thanks.
balu736 [363]

\frac{3^{-2} }{8^{-2}} \frac{3^{3} }{8^{3} } \frac{1^{3} }{3^{3} } \frac{1^{4} }{3^{4} } = \frac{3^{ (-2+3)} 1^{ (3+4)}}{8^{ (-2+3) }3^{(3+4)}} = \frac{3^{1}1^{7}}{8^{1} 3^{7} } = \frac{3}{8 * 3^{7} } = \frac{1}{8*3^{6} } = \frac{1}{5,832}

7 0
3 years ago
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