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3 years ago

Which of the following is a root of the polynomial shown below? f(x)=x^3-4x^2-11x+30

Mathematics

2 answers:

Pani-rosa [81]3 years ago

8 0

Answer:

Step-by-step explanation:

The answer is A for Apex Precal

Sliva [168]3 years ago

4 0

It is a root of the polynomial if it causes the equation to equal 0.

Let's try each number.

Substituting -3 for x...

(-3)³ - 4(-3)² -11(-3) + 30

-27 - 36 + 33 + 30

0

Therefore, a. -3 is a root to our polynomial.

You could try the rest, but I won't waste time with it. None of the others are roots, and it's multiple choice which means usually just one answer.

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(30 points)

Pani-rosa [81]

The vertices of the triangle are the points where any pair of lines intersect.

We start by setting up the system

$\begin{cases}y=-x+2\\y=2x-1 \end{cases} \iff -x+2=2x-1 \iff 3x=3 \iff x=1$

Using one of the two equations we can derive the correspondent y value:

$f(x)=-x+2 \implies f(1)=-1+2 = 1$

So, one vertex is (1, 1)

We choose the other two pairs of lines to find the other vertices:

$\begin{cases}y=-x+2\\y=x-2 \end{cases} \iff -x+2=x-2 \iff x=2 \implies y = 0$

$\begin{cases}y=x-2\\y=2x-1 \end{cases} \iff x-2=2x-1 \iff x=-1 \implies y=-3$

So, the three vertices are (1, 1), (2, 0), (-1, -3).

8 0

2 years ago

Help please ...................

GarryVolchara [31]

Answer:

$2( \frac{1}{2}5 \times 6.4) + 2( \frac{1}{2} 5 \times 12.4) \\ = 2(16) + 2(31) \\ = 32 + 62 \\ = 94m ^{2}$

6 0

2 years ago

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A bouquet of flowers contains 10 yellow daisies and 8 white dasies.Seanna bought b bouquets.She purchased a total of 90 flowers.

Alja [10]

Answer: she bought 5 bouquets

explanation: add the yellow and white daisies together to get 18 then do

90 ÷18=5

7 0

2 years ago

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

SashulF [63]

Divide each number by the previous number. You always get -3.
The pattern is to multiply a number by -3 to get the next number.
The next two numbers are -243, 729

3 0

3 years ago

Classify the figure as a polyhedron or not polyhedron.

Step2247 [10]

It is a polyhedron (i think)

5 0

2 years ago

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