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2 years ago

Find the vertex of the parabola given by y=2x^2-4x-1

1 answer:

3 0

Given the quadratic y = 2x^2-4x-1, I identify A = 2, B= -4 and C = -1. The axis of symmety: x = -b/2a --> 4/2(2) = 4/4 = 1. Therefore, the x-coordinate of the vertex is 1. To find the y-coordinate, I plug in 1 for x into the quadratic. Hence, y = 2(1)^2-4(1)-1 ---> -3. The coordinates of the vertex are (1,-3).

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In each of problems 5 through 11, find the general solution of the given differential equation

Brrunno [24]

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function $y(t)=e^t$ is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

<h3>What is a function?</h3>

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

$y_1(t) = e^t$

Given differential equations are,

y''-y = 0

So that,

$y' (t) = e^t, y'' (t) = e^t$

Substitute values in the given differential equation.

$e^t -e^t=0$

Therefore, the function $y(t)=e^t$ is the solution of the given differential equation.

Another function;

$y(t)=cosht$

So that,

$y"(t)=sinht\\\\y"(t)=cosht$

Hence, function y(t)=cosht is solution of given differential equation.

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7 0

1 year ago

Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when n = 1. 1 4

Colt1911 [192]

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

$45+n\\\\=45+1.1\\\\=46.1$

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

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1 year ago

What is m angle A?<br><br> ____degrees

Serggg [28]

Angle A is 10 degrees because you need to subtract 43 by 35 and u get 8 then u subtract 18 by 8.

Glad could help

8 0

2 years ago

Read 2 more answers

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Romashka [77]