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professor190 [17]
3 years ago
6

Which of the following is the result of using the remainder theorem to find F(-2)

Mathematics
2 answers:
Jobisdone [24]3 years ago
6 0

Answer:

A. 9

Step-by-step explanation:

F(-2) = 9

We are given the polynomial function;

F(x) = -2x3 + x2 + 4x-3

In order to determine F(-2) using the remainder theorem, we plug in -2 in place of x in the equation and simplify;

F(-2) = -2(-2)^3 + (-2)^2 + 4(-2) - 3

F(-2) = 9

choli [55]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Evaluating F(- 2) gives the remainder on dividing the polynomial by (x + 2)

F(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3 = 16 + 4 - 8 - 3 = 9 ← remainder

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According to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81. Th
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that according to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81.

The probability that a randomly selected household speaks only Spanish at home is 0.12.

(a)  the probability that a randomly selected household speaks only English or only Spanish at home

= 0.81+0.12 = 0.93

(since these two are disjoint sets)

(b)  the probability that a randomly selected household speaks a language other than only English or only Spanish at home

= 1-0.93= 0.07 (remaining)

(c)  the probability that a randomly selected household speaks a language other than only English at home

=1-0.81=0.19

(d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?

Polish alone can never exceed 1-(0.81+0.12) i.e. 0.70

At most it can take values as 0.7 only

So no is the answer.

4 0
3 years ago
Circle has a circumference of 59 cm using 3.14 as an approximation for π (pie)
soldi70 [24.7K]
I believe the radius of the circle would be about 18.79 (rounded).
Hope this helps ;}
6 0
3 years ago
Will upvote<br><br> 4,7,12,19,31,... does this classify as a arithmetic, geometric, or neither
spayn [35]
To find if a series is either geometric or arithmetic:
it must satisfy this property:

Arithmetic:

a(n+1) - a(n) = const

Geometric:

a(n+1)/a(n) = const

In your case:

r1 = 7 -4 = 3

r2 = 12 - 7 = 5

r1 != r2  (not arirthmetic)

Geometric check:

r1 = 7/4

r2 = 12/7

r1 != r2  (not Geometric)

so neither. 


8 0
3 years ago
What is the surface area of this rectangular prism
Akimi4 [234]

Answer:

a

Step-by-step explanation:

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8 0
3 years ago
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Which of the following is the correct representation for a translation 8 units right and 4 units down?
Zolol [24]

Answer:

A. (x + 8, y - 4)

Step-by-step explanation:

When something is translated to the right, x goes up, and when something is translated down, y goes down.

Alternatively, eft means down for x and up means up for y.

5 0
3 years ago
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