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3 years ago

Which equation describes this line?

Mathematics

2 answers:

laila [671]3 years ago

8 0

Answer:

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

Step-by-step explanation:

hello :

1) this line passes trough (-2,4) because : 4-4 =3(-2+2) means : 0=0 (true)

2) this line passes trough (1,13) because : 13-4 =3(1+2) means : 9=9

(true)

VARVARA [1.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 13) ← 2 points on the line

m = $\frac{13-4}{1+2}$ = $\frac{9}{3}$ = 3

Use either of the 2 points for (a, b)

Using (a, b) = (- 2, 4), then

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) → D

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A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their

kifflom [539]

Answer:

$p(x) = -0.01x + 15$

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

$(x_1,p_1) = (500,10)$

A reduction of 50c gives an increment of 50 tickets.

This gives:

$(x_2,p_2) = (500+50,10-0,5)$ ---- $50c = \$0.5$

$(x_2,p_2) = (550,9.5)$

Required

Determine the demand function

First, calculate the slope:

$m = \frac{p_2 - p_1}{x_2 - x_1}$

$m = \frac{9.5 - 10}{550-500}$

$m = \frac{-0.5}{50}$

$m = -0.01$

So, the equation is:

$p = m(x - x_1) + y_1$

$p = -0.01(x - 500) +10$

$p = -0.01x + 5 +10$

$p = -0.01x + 15$

Hence, the function is:

$p(x) = -0.01x + 15$

4 0

3 years ago

What are some potential changes that would lead to a positive impact for something on this planet that man himself changed origi

exis [7]

recycling the right things in the right places - for example, receipts cannot be recycled, and if they are out into paper recycling then this can often cause problems and a whole batch of paper to be recycled can be ruined. this means that a whole bunch of stuff has to go to waste.

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4 years ago

Which number line correctly shows 1.5+2.5?

Y_Kistochka [10]

Answer:

The first one!

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Lol please help meeee

jeyben [28]

Answer:

4 . The answer is no .

5 . x=1

6. unlimited answers

7. There's no answer to this question .

Step-by-step explanation:

___________________

4. solution :

-20(2-4) = 2((5×-4) -4) =

-40 = -48 × impossible

___________________

5. solution :

-3+4x+12x+24 = 28x +12-3

-3+24-12+3=28x-12x-4x

27-15=12 = 2x - 16x =12x

12 = 12x

x =1

__________________

6. solution :

24-3x+9-6 = -8x+20+5x+7

8x-5x-3x = -24-9+6+20+7

0=0

x can be every number you think because they are always equal to each other .

examination :

if you consider x as 1 :

24-3+9-6=-8+20+5+7

24=24

or if you consider x as 2 :

24-6+9-6 = -16+20+10+7

21 = 21

__________________

7 . solution :

3(x-2) = 3x+4

3x-6 = 3x+4

3x-3x = 10

0 = 10

if you consider x as 1 :

3-6 = 3+4

-3 = 7 × impossible .

4 0

3 years ago

A parallelogram has base (2x - 1) metres and height (4x - 7) metres.

Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

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3 years ago