All categories

3 years ago

Use synthetic division and the remainder theorem to find p(a) = 2x3 -x2 + 10x; = a = 1/2

Mathematics

1 answer:

sergey [27]3 years ago

8 0

Answer:

p(1/2) = 5

Step-by-step explanation:

Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x

Set up synthetic div.:

1/2 ) 2 -1 10 0

1 0 5

------------------------

2 0 10 5

The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.

You might be interested in

If a triangle has sides of 14,48, and 50 units respectively what type of triangle is it

Lunna [17]

Answer:

it is scalene type of triangle because no sides are equal

5 0

3 years ago

Solve for x <br> 8x+1>−31

slavikrds [6]

$8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4$

3 0

3 years ago

Camila and Evelyn work at a dry cleaners ironing shirts.Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per ho

GalinKa [24]

60 shirts can be ironed per hour with two workers

8 0

3 years ago

Read 2 more answers

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

A packing company makes boxes with each measuring 3 feet what is the volume of the boxes boxes are put in a larger rectangle or

dimulka [17.4K]

V=L*W*H
V= 3*3*3
V= 9*3
V= 27

4 0

3 years ago