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2 years ago

When designing a training plan, what do you need to think about?

Mathematics

1 answer:

Charra [1.4K]2 years ago

7 0

D. Frequency, overtraining, time

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Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y=4x^2+5x-1

Ivanshal [37]

Answer:

Axis of symmetry: $x=-\frac{5}{8}$

Vertex: $(-\frac{5}{8},-2\frac{9}{16})$

Step-by-step explanation:

The given quadratic equation is

$y=4x^2+5x-1$

By comparing to the general quadratic function; $y=ax^2+bx+c$

We have a=4,b=5,c=-1

The equation of the axis of symmetry is given by the formula;

$x=-\frac{b}{2a}$

We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;

$x=-\frac{5}{2(4)}$

$x=-\frac{5}{8}$
is the axis of symmetry.

To find the y-value of the vertex, we put $x=-\frac{5}{8}$ into the function to obtain;

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=-\frac{41}{16}$

The vertex of the given function is $(-\frac{5}{8},-2\frac{9}{16})$

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What type of answer will a

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Negative

Step-by-step explanation:

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What is three hundred four million,eight hundred thousand,four hundred in standard form

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Standard form
304.800.400

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3 years ago

Find the solution to the system

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Step-by-step explanation:

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SOLVE each system by graphing PLEASSE

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Answer:

Step-by-step explanation:

The given equations are:

$y=-\frac{1}{3}x+3$ and $y=2x-4$

On solving $y=-\frac{1}{3}x+3$ , we get the graph which is red in colour.

By Putting x=o in the equation⇒y=3

Putting x=-3⇒y=4

Now, plotting the graph for the equation $y=2x-4$ , it is plotted as blue colour by putting x=0⇒y=-4 and by putting x=3⇒y=2, Following the same path, we can plot the two graphs for the given equations.

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