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vaieri [72.5K]
3 years ago
15

Which function has zeros at x= 10 and x= 2?

Mathematics
2 answers:
kari74 [83]3 years ago
6 0
<span>f(x) = x^2 – 12x + 20</span>
zvonat [6]3 years ago
4 0

Answer:

The function f(x)= x^2-12x+20 has zeroes at x=10 and x=2.

Step-by-step explanation:

Given the zeroes of the function at x=10 and x=2

x=10

x-10=0

x=2

x-2=0

Now , the factors of the function are (x-10) and (x-2)

The function can be  obtain by  multiplying these factors then we can write

f(x)=(x-10)(x-2)

f(x)=x(x-2)-10(x-2)

f(x)=x^2-2x-10x+20

f(x)=x^2-12x+20

Hence, the function is f(x)=x^2-12x+20  and the zeroes of function at x=10 and x=2.

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Step-by-step explanation:

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3 years ago
Determine the form of the following quadratic equation, and identify the values for the key characteristic of the parabola revea
Liono4ka [1.6K]

Answer:

1) The equation is given in factored form

2) The key characteristics of the parabola are;

a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are (1/2, 0) and (-6, 0)

c. The y intercept is (0, -6)

d. The vertex point is (-2.75, -21.125)

Step-by-step explanation:

The given equation is f(x) = (2·x -1)(x + 6)

Therefore the equation is given in factored form

The key characteristic of the parabola revealed from the form f(x) = (2·x -1)(x + 6) are;

1) Writing the parabola in the intercept form, a(x - p)(x -q) we have;

f(x) = (2·x -1)(x + 6) = 2·(x - 1/2)(x + 6)

p = 1/2, q = -6

Therefore;

Given that a is positive the parabola is concave upwards

2) a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are p and q which are (1/2, 0) and (-6, 0)

c. The y intercept is a·(-p)·(-q) = 2×(-1/2)×6 = -6

The y intercept is (0, -6)

d. Expanding we get;

f(x) = 2·x² + 11·x - 6

From the

The vertex is h = -b/(2·a) = -11/(2×2) = -2.75

h(2.75) = 2×(-2.75)² + 11×(-2.75) - 6 = -21.125

Therefore, the function is symmetrical about the vertex point (-2.75, -21.125)

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4 years ago
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Answer:

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Step-by-step explanation:

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Solve the rational equation (3x^2+1)/(x-1) + x =4 + 4/(x-1)
natita [175]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Rational equation

                               \frac{3x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}

Simplify

                             \frac{3x^{2} + 1 + x(x - 1)}{x - 1} = \frac{4(x - 1) + 4}{x - 1}

Cancel the denominators and expand

                            3x² + 1 + x² - x = 4x - 4 + 4

Simplify                                              

                            4x² - x + 1 - 4x = 0

                            4x² - 5x + 1 = 0

Factor

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                             (4x - 1)(x - 1) = 0

                            x₁ = 1/4        x₂ = 1

4 0
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