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3 years ago

14

The degree of the polynomial function f(x) is 3.

1 answer:

Schach [20]3 years ago

8 0

We are given degree of the polynomial function = 3.

Because degree is 3, there should be three x-intercepts of the given graph of the polynomial.

We also given roots of the equation f(x)=0 are −2 , 0, and 3.

Therefore, x intercepts should be at:

(0,0), (-2,0) and (3,0).

<h3>In the given options third option shows x-intercepts at 0, -2 and 3.</h3><h3>Therefore, correct option is 3rd option.</h3>

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What is the solution for 15= -x +10

Alja [10]

Answer:

-5

Step-by-step explanation:

15=-x+10

x-10=-15

x=-15+10

x=-5

6 0

3 years ago

Read 2 more answers

Solve for x: 4(x + 2) = 3(x - 2)<br> -2<br> -4<br> -10<br> -14

m_a_m_a [10]

Answer:

D. -14

Step-by-step explanation:

3 0

4 years ago

Please help ASAP!!!

PolarNik [594]

Use the formula 42600 ÷ (6.9 ÷<span> 100) to calculate this !

</span>42,600 ÷ (6.9 ÷ 100) = <span>617391.304348. Round this to 617391 since you can't sell a percentage of a book.
</span>
To check this, calculate 6.9 percent of 617391.304348. 0.069 · 617391.304348 = 42,600.

6 0

3 years ago

The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

I need help with this one please

Semmy [17]

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

$an = 900 \times {f}^{n - 1}$

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

= 900×(1-3.065804612) / (-0.09) =

= 900×(-2.065804612) / (-0.09) = 20,658.04612

.

7 0

3 years ago