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3 years ago

11

beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour?

i need helppp!!

1 answer:

max2010maxim [7]3 years ago

4 0

Answer:

1 mile in 15 minutes

Step-by-step explanation:

Simply divide 120 by 8

120/8=15

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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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4 years ago

Please help me out please

AleksAgata [21]

Answer:

x = -0.8

<CAD = -8

Step-by-step explanation:

10x + 4 = 5x - 4 (Clean up)

10x = -8 (Divide each side by 10)

x = -0.8

<CAD = 5x - 4

<CAD = 5(-0.8) - 4

<CAD = -4 - 4

<CAD = -8

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