What is 1/2 of 56 as a whole number ??

deff fn [24]

The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line

Neither
║
Neither
⊥
║
Neither
Neither
Neither

Reason:

The slope and intercept form is the form y = m·x + c

Where;

m = The slope

Two equations are parallel if their slopes are equal

Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are; $m_1 = -\dfrac{1}{m_2}$

1. The given equations are in the slope and intercept form

$\ y = 3 \cdot x + 1$

The slope, m₁ = 3

$y = \dfrac{1}{3} \cdot x + 1$

The slope, m₂ = $\dfrac{1}{3}$

Therefore, the equations are neither parallel or perpendicular

Neither

2. y = 5·x - 3

10·x - 2·y = 7

The second equation can be rewritten in the slope and intercept form as follows;

$y = 5 \cdot x -\dfrac{7}{2}$

Therefore, the two equations are parallel

║

3. The given equations are;

-2·x - 4·y = -8

-2·x + 4·y = -8

The given equations in slope and intercept form are;

$y = 2 -\dfrac{1}{2} \cdot x$

Slope, m₁ = $-\dfrac{1}{2}$

$y = \dfrac{1}{2} \cdot x - 2$

Slope, m₂ = $\dfrac{1}{2}$

The slopes

Therefore, m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

The lines are Neither parallel nor perpendicular

Neither

4. The given equations are;

2·y - x = 2

$y = \dfrac{1}{2} \cdot x +1$

m₁ = $\dfrac{1}{2}$

y = -2·x + 4

m₂ = -2

Therefore;

$m_1 \neq -\dfrac{1}{m_2}$

Therefore, the lines are perpendicular

⊥

5. The given equations are;

4·y = 3·x + 12

-3·x + 4·y = 2

Which gives;

First equation, $y = \dfrac{3}{4} \cdot x + 3$

Second equation, $y = \dfrac{3}{4} \cdot x + \dfrac{1}{2}$

Therefore, m₁ = m₂, the lines are parallel

║

6. The given equations are;

8·x - 4·y = 16

Which gives; y = 2·x - 4

5·y - 10 = 3, therefore, y = $\dfrac{13}{5}$

Therefore, the two equations are neither parallel nor perpendicular

Neither

7. The equations are;

2·x + 6·y = -3

Which gives $y = -\dfrac{1}{3} \cdot x - \dfrac{1}{2}$

12·y = 4·x + 20

Which gives

$y = \dfrac{1}{3} \cdot x + \dfrac{5}{3}$

m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

Neither

8. 2·x - 5·y = -3

Which gives; $y = \dfrac{2}{5} \cdot x +\dfrac{3}{5}$

5·x + 27 = 6

$x = -\dfrac{21}{5}$

Therefore, the slopes are not equal, or perpendicular, the correct option is Neither

Learn more here:

brainly.com/question/16732089

6 0

2 years ago

The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14

evablogger [386]

Answer:

$-0.0002x^2 +26x-120000$

Step-by-step explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue = $40x - 0.0002x^2$

Cost = $14x + 120,000$

Hence:

Profit = $40x - 0.0002x^2 - (14x + 120000)$

$40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000$

Putting it in ordered form:

$-0.0002x^2 +26x-120000$

This is an expression for the profit.

4 0

2 years ago

Look at the pic help

Ivenika [448]

Answer:-68 i think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which values are solutions to the inequality? 5r≤6r−8 Select each correct answer. r = 7 r = 8 r = 9 r = 10

Ratling [72]

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

5r≤6r−8 ...(1)

We need to find the value of r.

Subtracting 5r to both sides of the inequality .

5r-5r≤6r-5r−8

0≤r−8

r ≥ 8

Hence, the values of r are 8,9,10.

8 0

2 years ago

Read 2 more answers

What is the slope of the linear function represented in the table

Yanka [14]

Answer: m (the slope) = 1/7

Step-by-step explanation:

The slope formula is attached. When you plug in the numbers, you get 1/7 -

0 - 1 / -7 - 0

8 0

3 years ago