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3 years ago

Can anyone please help me with this w

Mathematics

1 answer:

expeople1 [14]3 years ago

3 0

5=27
N=5

Explanation=there’s a difference between each number of 5

Eg:12-7=5
17-12=5
22-17=5
So that means 22+5=27 and n=5 since it is the number difference
(I hope this helps you out)

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For the function y=x^2-4x-5, perform the followingtasks:

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Answer:

a. $x^2-4x-5= \left(x-2\right)^2-9$ .

b. The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Step-by-step explanation:

a. The vertex form of a quadratic is given by $y=a(x-h)^2+k$ , where (h, k) is the vertex.

To convert from $y=x^2-4x-5$ form to vertex form you use the process of completing the square.

Step 1: Write $x^2-4x-5$ in the form $x^2+2ax+a^2$ . Add and subtract 4:

$x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5$

Step 2: Complete the square $x^2+2ax+a^2=\left(x+a\right)^2$

${\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9$

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, $y=a(x-h)^2+k$ , the axis of symmetry is $x=h$ .

The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Look at the graph shown below.

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3 years ago

On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.

amid [387]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=2^x$

This is a exponential function of the form

$y=a(b^x)$

where

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b is the base of the exponential function

If b>1 then is a exponential growth function

If b<1 then is a exponential decay function

In this problem

The y-intercept is equal to

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The y-intercept is the point (0,1)

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$\sf~x+y=22$

Subtract y to both sides:

$\sf~x=-y+22$

Plug in -y + 22 for 'x' in the first equation.

$\sf~x=3y+2$

$\sf~-y+22=3y+2$

Subtract 3y to both sides:

$\sf~-4y+22=2$

Subtract 22 to both sides:

$\sf~-4y=-20$

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Plug this into any of the two equations to find 'x':

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