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s344n2d4d5 [400]
2 years ago
8

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

#SPJ1

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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%

    30

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
Read 2 more answers
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