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3 years ago

What is the domain of the function y = 2 VX-5?

Mathematics

1 answer:

tresset_1 [31]3 years ago

3 0

Answer:

R

Step-by-step explanation:

All linear functions have a range and domain of R [ALL REAL NUMBERS].

I am joyous to assist you anytime.

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Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

4 years ago

Is table A liner or nonlinear

Kipish [7]

I think table A is liner

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3 years ago

according to survey conducted by the texas free press,125 out of 500 people do nat have internet access at their homes.what perc

Bond [772]

Answer:

25%

Step-by-step explanation:

125:500

divide by 5 to make 500 into 100

25:100

convert to percent

25%

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3 years ago

How do we identify the slope and the y-intercept for each of the function representations?

Gelneren [198K]

Answer:

Step-by-step explanation:

for y intercept

we calculate f(0) and the value is y intercept

for the slope we have 2 points (x1,y1) and (x2,y2)

the slope is (y2-y1)/(x2-x1)

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4 years ago

Please Hurry! Which two numbers on the number line have an absolute value of 2.75?

Kamila [148]

Use Photomath it helps

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3 years ago

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