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3 years ago

1. y - 5 = -2(x - 3) in standard form (pls explain)

Mathematics

1 answer:

Ann [662]3 years ago

6 0

Answer:

The equation is standard form is 2x + y = 11.

The equation is standard form is 2x - 3y = 18

Step-by-step explanation:

Standard form: Ax + By = C

You need to solve the equation so that it is in that form.

y - 5 = -2(x - 3)

y - 5 = -2(x) - 2(- 3) Distributive property

y - 5 = -2x + 6 Simply . remember -2(-3) = 6

y - 5 + 2x = 2x + 6 Adding 2x to both sides of the equation

2x + y - 5 = 6 Now the x-term and the y-term are on one side

2x + y - 5 + 5 = +5 Adding +5 to both sides of the equation

2x + y = 11

Now the equation is standard form is 2x + y = 11

2. y + 4 = 2/3 (x - 3)

y + 4 = 2/3(x) + 2/3(- 3) Distributive property

y + 4 = 2/3x - 2 Simply : 2/3(-3) = -6/3 = -2

y + 4 - 2/3x = -2/3x Adding -2/3x to both sides

y + 4 -2/3x = -2

-4 = -4 Adding -4 to both sides

y - 2/3x = - 6

-y + 2/3x = 6 x- term is positive so multiply by -1 will

2/3x - y = 6 change the sign in the equation

3(2/3x) -3(y) = 3(6) You do not want a fraction in the x-term so

multiply by 3. Each term by 3.

2x - 3y = 18 3(2/3) = 6/3 = 2

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Rina8888 [55]

Answer:

m = 1.5h

Step-by-step explanation:

He can mow 1.5 lawns in an hour. So to find the amount of lawns mowed u would have to multiply 1.5 and the amount of hours.

4 0

3 years ago

1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint

kondor19780726 [428]

Answer:

It takes 50 minutes to paint the whole box

Step-by-step explanation:

1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.

Wilson paints 40% of a bookcase in 20 minutes.

For the total box

40% = 20 minutes

100% = x

40 × x = 100 × 20

x = 100 × 20/40

x = 50 minutes

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3 years ago

A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 p

Rudiy27

Answer:

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is $59000+1700(0)$

= 59000

when it is year 2005, the population is $59000+1700(2)$

= 62400

The town's population in 2007 will be :

$(2007-2003=4)$

$59000+1700(4)$

Population = 65800

$59000+1700x=77700$

=> $1700x=18700$

x = 11

Means $2003+11=2014$

Hence, by year 2014 the population will be 77700.

5 0

3 years ago

Solve for x in the equation x2+2x+1=17

agasfer [191]

The left side can be written as a square. We can take the square root, then subtract 1.

... (x +1)² = 17

... x +1 = ±√17

... x = -1 ±√17

6 0

3 years ago

A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi

Igoryamba

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = $\frac{\textup{x - Mean}}{\textup{standard deviation}}$

The z factor = $\frac{\textup{4.98 - 5}}{\textup{0.01}}$

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

7 0

3 years ago