Consider the following hypothetical economy:

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Answer:

Step-by-step explanation:

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

4 0

4 years ago

Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes a football,baseball,soccer ba

soldi70 [24.7K]

Answer:

Step-by-step explanation:

x = number of windows being washed

3x + 15 > = 50 (thats greater then or equal to)

3x > = 50 - 15

3x > = 35

x > = 35/3

x > = 11 2/3

so he would have to wash 12 windows to get the minimum amount.....any more window money would go to the additional accessories.

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3 years ago

The Sun has a diameter of approximately 8.64 × 105 miles. What is this distance in standard form?

nadya68 [22]

D.864,000
<span>to find standard form if the power is positive move the decimal that many places to the right. If the power is negative move the decimal that many times to the left.</span>

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4 years ago

What quadrant is (-2,-3) in?

Serga [27]

Answer:

It would be quadrant 3

Step-by-step explanation: