If f(x) = |x| and g(x) = |xl - 4, which translation is applied to f(x) to get g(x)?

Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?

DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is $\frac{x}{a} +\frac{y}{b} =1$

Now convert the above given line to the standard form

Divide the line by 30 we get

$\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}$

$\frac{x}{15} -\frac{y}{\frac{30}{R} } =1$

Here the y-intercept is 30/R

Given y-intercept = 5

$\frac{30}{R} =5$

R = 6

4 0

3 years ago

What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.

adelina 88 [10]

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According to the question,

The distance between two points is determined by using the distance formula.

$\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2$

Then,

The distance between points A (3, -5) and A' (2, -3) is,

$\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units$

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

brainly.com/question/8069952

6 0

2 years ago

Read 2 more answers

The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in ga

Karolina [17]

Answer:

.12%

Step-by-step explanation

2.61-2.49= 0.12

.12%

5 0

2 years ago

Hi, can someone please help me out with this problem? thanks in advance.

kiruha [24]

Answer:

The following is an income statement using the Contribution format.

...........................Income Statement for Rivieremia Corp................................

Sales ........................................................................$1,500,000

Less Variable Costs................................................($1,200,000)

Contribution Margin..............................................$300,000

Less Fixed Costs....................................................($200,000)

Operating Income .................................................$100,000

Less Tax....................................................................($10,000)

Net Income...............................................................$90,000

Tax = 10% * 100,000 = $10,000

Proving breakeven is $1,000,000.

The breakeven point for a company can be calculated by dividing the Fixed cost by the contribution margin ratio.

Contribution margin ratio = Contribution margin / Sales

= 300,000/1,500,000

= 20%

= Fixed Cost/ Contribution Margin ratio

= 200,000/20%

= $1,000,000

Degree of Operating Leverage = Contribution Margin/ Operating Income

= 300,000/100,000

= 3

7 0

3 years ago

8 gal/h = ________ pt/min

docker41 [41]

$1gal=8pt\\1h=60min\\\\8\ gal/h=8\times\frac{8pt}{60min}=\frac{64}{60}\ pt/min=\frac{16}{15}\ pt/min=1\frac{1}{15}\ pt/min$

5 0

3 years ago