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2 years ago

The x-intercepts of a parabola are (-5, 0) and (3, 0). What is the function of the parabola?

Mathematics

1 answer:

weeeeeb [17]2 years ago

3 0

The function of the parabola will be f(x) = -2(x²+2x-15)

<h3>Equation of a parabola</h3>

The equation of a parabola are quadratic in nature.

If s graph has intercepts (a, 0) and (b, 0), the function will be equivalent to;

f(x) = (x-a)(x-b)

Since we are given the x-intercepts (-5, 0) and (3, 0), the function of the parabola will be:

f(x) = (x+5)(x-3)

Expand

f(x) = x^2 - 3x + 5x - 15

f(x) = x^2 + 2x - 15

Hence the function of the parabola will be f(x) = -2(x²+2x-15)

Learn more on function of a parabola here: brainly.com/question/4061870

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The sum of seven interior angle measurements is an octagon equal 835°. What is the angle measurement of the eighth angle?

creativ13 [48]

$\bf \textit{sum of all interior angles in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies S=180(8-2) \\\\\\ S=180(6)\implies S=1080$

now, we know 7 of those angles are already 835°, so the last one must be 1080 - 835 = 245°.

4 0

3 years ago

Express (13/15 - 7/10) as a percentage

sasho [114]

Answer:

(13/15 - 7/10)

take lcm

<u>13*2 - 7*3</u> = 5/30*100= 50/3%

Step-by-step explanation:

8 0

3 years ago

Answer the question now

Brut [27]

Answer:

44, 3.5

11 x 4= 44

3.5 x 1 = 3.5

3 0

3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

Ax+by=c solving for y

german

Answer:

$ax + by = c \\ by = c - ax \\ \\ y = \frac{c - ax}{b} \\ \\ y = \frac{c}{b} - \frac{ax}{b}$

I hope I helped you^_^

8 0

3 years ago

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