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2 years ago

Please help me in math. Write an equation of the parabola shown.

Mathematics

1 answer:

Rama09 [41]2 years ago

5 0

Answer:

$y = \frac{1 }{8} {(x + 3)}^{2}$

Step-by-step explanation:

$y = a(x - h)^{2} + k \\ y = a(x - ( - 3))^{2} + 0 \\ using \: points \: (1 ,\: 2) \\ 2 = a {(1 - ( - 3))}^{2} \\ 2 = a{4}^{2} \\ 16a = 2 \\ \boxed{ a = \frac{1}{8} } \\ hence \to \\ y = \frac{1}{8} (x - ( - 3))^{2} \\ y = \frac{{(x + 3)}^{2} }{8}$

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2 years ago

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Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr

Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

$x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}$

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

$x = \frac{-b +- R }{2*a}$

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

$x = \frac{-b +- C*i }{2*a}$

We have two complex solutions.

If D = 0

√0 = 0

then:

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3 years ago

These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work c

Alchen [17]

Answer:

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Step-by-step explanation:

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2 years ago

The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavi

dlinn [17]

Answer:

The weight of container C is 2.1kg.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the weight of container A.

y is the weight of container B.

z is the weight of container C.

The average weight of 3 containers A,B and C is 3.2kg.

This means that the total weight is 3*3.2 = 9.6kg. So

$x + y + z = 9.6$

Container A is twice as heavy as container B.

This means that $x = 2y$ .

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that $y = z + 0.4$ , or $z = y - 0.4$

Replacing y and z as functions of x in the first equation:

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2 years ago

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yuradex [85]

Answer:

The equivalent expression is 10x-6.

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3 years ago