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4 years ago

What is the common difference in the sequence 5, 10, 15, 20, 25,...?

1 answer:

8 0

The answer is D

You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5

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The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function

MAVERICK [17]

Answer:

$P(x) = 3x - 10$

Step-by-step explanation:

Given

$R(x) = 5x$

$C(x) = 10 + 2x$

Required

Determine $P(x) = (R - C)(x)$

In functions;

$(f - g)(x) = f(x) - g(x)$

So, we have:

$P(x) = (R - C)(x)$

$P(x) = R(x) - C(x)$

Substitute values for R(x) and C(x)

$P(x) = 5x - (10 + 2x)$

Open bracket

$P(x) = 5x - 10 - 2x$

Collect Like Terms

$P(x) = 5x - 2x- 10$

$P(x) = 3x - 10$

7 0

3 years ago

Graph the function rule. Tell whether the graph is continuous or discrete. The height h, in inches, of the juice in a 20-oz b

tangare [24]

The x-axis is the amount of juice because it is the independent equation, while the y-axis is the height. The range of the x-axis starts from 0 to the maximum 20 oz. The graph is shown in the attached picture. As shown, the graph is continuous.

3 0

4 years ago

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

siniylev [52]

Answer:

Step-by-step explanation:

Anwer A has the following equation:

$g(x)=\frac{3}{5}x^2-3$

In this equation, we can calculated the intercept replacing x by 0, as:

$g(x)=\frac{3}{5}0^2-3=-3$

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

$0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236$

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, $g(x)=\frac{3}{5}x^2-3$

7 0

3 years ago

Help please thanks will mark brainliest

Colt1911 [192]

Answer:

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

To find x subtract the sum of the 2 given angles from 180, that is

x = 180° - (32 + 52)° = 180° - 84° = 96°

-------------------------------------------------------

x and y form a straight angle, hence

y = 180 - x = 180° - 96° = 84°

------------------------------------------------------

To find z subtract the sum of the 2 angles from 180

z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°

--------------------------------------------------------

x = 96°, y = 84°, z = 41° → A

3 0

3 years ago

uud triángulo 20 ft 18 ft 14 ft 13 ft 25 ft 28 ft 19 in 33 in 11 in 14 in 30 in 30 in 6 5 31 ft 16 in 12 in 12 ft 22 in 29 ft

Vesna [10]

Answer:

20ft

Step-by-step explanation:

6 0

3 years ago