All categories

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:

2x-2y=(-10)

-2x -2x

-2y=(-10)-2x

+2 +2

y=(-8)-2x

You might be interested in

I have these factoring questions I need help with.

snow_lady [41]

$f(x)=4x^2+4x-3$

1. Determine y-intercept.

The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.

2. Determine the zeros.

Factor the polynomials first. $(2x-1)(2x+3)$ This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2

3. Determine the Axis of Symmetry

We can solve this by using the formula of $x=-\frac{b}{2a}$ However, I'll be solving the Axis of Symmetry with Calculus instead.

$f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4$

Then let f'(x) = 0 to find the Axis of Symmetry.

$8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}$

Therefore, the Axis of Symmetry is -1/2

4. Determine the vertex.

Substitute the value of Axis of Symmetry in f(x).

$f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4$

Therefore the vertex is at (-1/2, -4)

5. Does the vertex representing max-pont or min-point?

The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE.

7. Graph f(x)

Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).

--------------------------- End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

$y=ax^2+bx+c$

The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is.

For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.

3. Write in Factored Form

$y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)$

These are factored forms with different types of operators.

The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)

4. Write in Vertex Form.

$y=a(x-h)^2+k$

The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.

The vertex is at (h,k) and the axis of symmetry is at x = h.

For example, $y=(x-2)^2+3$

The vertex would be at (2,3) and the axis of symmetry is x = 2.

3 0

3 years ago

Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm

tia_tia [17]

LWH-LWH
=12*20*5-4*2*0.5
=1200-32
=1168 cubic cms

5 0

3 years ago

Read 2 more answers

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat

galben [10]

To find the mean absolute deviation, you have to find the mean first.
1+1+2+2+2+4=12
12 divided by 6 numbers=2 The mean of that is two
Next, you have to find the amount the original numbers are away from the mean.
1= 1 away from 2 2=0 away from 2 4=2 away from 2
You should get: 1,1,0,0,0,2 Next, you have to find the mean of the new set of numbers. 1+1+0+0+0+2=4
4 divided by 6= 2/3
The mean absolute deviation is 2/3

8 0

3 years ago

Read 2 more answers

a store manager orders t-shirts so that 15 out of 35 are a medium. How many medium shirts would you except to find when there ar

melomori [17]

54 t-shirts 126/35 =3.6

3.6•15=54

6 0

3 years ago

Write 48/27 as a ratio in 3 different ways

lana66690 [7]

Answer:

48 to 27