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4 years ago

Write the equation y=-1/2x+3 in standard form. how do I do this?

2 answers:

8 0

Hello.

The standard form is Ax + By = C, where A, B, and C are real numbers, and A is a positive integer.

Here are the steps:

(2)y = (-1/2x + 3)(2) -- you want to get rid of the fraction
2y = -x + 6 -- add x to both sides
+ x + x
x + 2y = 6 -- this follows standard form

x + 2y = 6 can be simplified even further to: x/2 + y = 3.
Both these equations are correct graph-wise,

I would use x/2 + y = 3 rather than x + 2y = 6.

Hopefully this makes sense. :)

Lapatulllka [165]4 years ago

7 0

Standard form is ax + by = c. Begin our transformation by multiplying both sides by 2 to get rid of the fraction. Notice that ax + by = c does not allow for fractions. Doing that multiplication gives us 2y=-x + 3. Now move the x over by the y by addition. x + 2y = 3. And there you go!

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

3 years ago

Read 2 more answers

6. the measure of angle A' Please answer

Neporo4naja [7]

Answer:

Any choices or pictures??

Step-by-step explanation:

5 0

3 years ago

F(x)=3x+5/x, what is f(a-2)

grin007 [14]

Replace x with the binomial a - 2.

f(a - 2) = [3(a - 2) + 5]/(a- 2)

f(a - 2) = [3a - 6 + 5]/(a - 2)

f(a - 2) = [3a - 1]/(a - 2)

f(a - 2) = (3a - 1)/(a - 2)

Done.

8 0

3 years ago

Miguel quiere entrenar para la carrera solidaria de verano en uno de los dos parques que tiene cerca de casa. Su plan es correr

kondor19780726 [428]

Answer:

The square park is more convenient.

Explanation:

The translation of the question is:

Miguel wants to train for the summer solidarity race in one of the two parks that he has close to home. His plan is to run about 10 km each day and he wants to do an exact number of laps around the park to always start and end at the entrance. Since he has not quite decided between the square and the rectangular park, he decides to do some calculations to see which one suits him best.

Square park: 423 meters each side

Rectangular park: 673 meters measures the base and 218 meters the height

<h2>Solution</h2>

1. Calculate the perimeter of the square park

The perimeter of a square is the sum of the four side lengths. Since they are equal it is:

Perimeter = 4 × side lenght

Perimeter = 4× 423m = 1,692 m

2. Calculate how many times 1,692m is in 10 km

10 km is 10,000 m. Then, divide 10,000 by 1,692 m:

Number of laps = 10,000m / 1,692m ≈ 5.91 laps

3. Calculate the perimeter of the rectangular park

Perimeter = 2×base + 2×height

Perimeter = 2×673m + 2×218m = 1,782m

4. Calculate how many times 1,782 is in 10km

Number of laps = 10,000m / 1,782m ≈ 5.61 laps

Then, since the number 5.91 is closer to an integer number than 5.61, you conclude that the square park is more conventient, because by running 6 laps around the square park the number of kilometers run will be closer to 10 km than with any number of complete laps in the rectangular park.

3 0

3 years ago

The greatest of four consecutive even integers is 14 less than twice the smallest integer. What are the integers

kakasveta [241]

20,22,24,26 is the answer

7 0

3 years ago