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4 years ago

The difference of a number x and 1/2

Mathematics

1 answer:

Yuliya22 [10]4 years ago

8 0

X - 1/2 (if you meant the difference between)

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101, 105, 109, 113, find the 22nd term

const2013 [10]

101 + 4 x 22 = 101 + 88 = 189

The answer is 189

7 0

3 years ago

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

lbvjy [14]

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.

5 0

3 years ago

PLEASE HELP ASAP!!! I AM REALLY STUCK AND WILL AWARD BRAINLIEST!!!

Setler [38]

Answer:

Does not go

Step-by-step explanation:

$x = \frac{10}{3} \\ y = - 2$

$y = kx \\ - 2 = k( \frac{10}{3} ) \\ \\ k = \frac{ - 2 \times 3}{10} \\ \\ k = \frac{ - 1 \times 3}{5} \\ \\ k = - \frac{3}{5}$

So the equation is

$y = - \frac{ 3}{5} x$

M(-10, 15)

$x = - 10 \\ \\ y = - \frac{3}{5} x \\ \\ y = - \frac{3}{5} ( - 10) \\ \\ y = \frac{3}{5} (10) \\ \\ y = 3 (2) \\ \\ y = 6$

The graph Does not go through point M bcz when the value of x = - 10 then the value of y is 6, not 15

5 0

3 years ago

What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y +

saul85 [17]

Slope = 4/6= 2/3
Intercept is -1 (I think just check with gradient on graph in doing in my head)

Y=MX+B
Y=2/3X-1 ( if my calculations add up

3 0

3 years ago

Which of the following equations shows how substitution can be used to solve the following

slega [8]

Answer:

Step-by-step explanation:

the y= equation shows how... b/c we can just plug y into the 2nd equation and eliminate y and have one variable, x , to solve for :)

8 0

3 years ago