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2 years ago

to shift the graph of an equation a certain number of units down, you need to ______ the function equation

Mathematics

1 answer:

avanturin [10]2 years ago

3 0

Answer:

Step-by-step explanation:

...You need to subtract that number of units from the function equation.

Example: given y = x^2, and wanting to shift the entire graph down 3 units, we subtract 3 from y = x^2, obtaining y = x^2 - 3.

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Describe the solution to the inequality

Kitty [74]

It’s on open dot because it doesn’t include the 4 and it shades all the numbers greater then 4 (so it goes to the right).

3 0

3 years ago

The manufacturer of a CD player has found that the revenue R (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com

AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

$R(p) = -5p^2 + 1550p$

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

$\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550$

Equating the first derivative to zero, we get,

$\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155$

Again differentiation R(p), with respect to p, we get,

$\dfrac{d^2(R(p))}{dp^2} = -10$

At p = 155

$\dfrac{d^2(R(p))}{dp^2} < 0$

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

$R(155) = -5(155)^2 + 1550(155) = 120125$

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

6 0

4 years ago

The first term of an arithmetic sequence is 8. The 7th term is 38. What is the common difference?

Sever21 [200]

Answer:

Step-by-stepidf explanation:

7 0

3 years ago

Jessica is planting a garden. It has the shape of a right triangle. She wants 2 plants for each square yard of area. How many pl

attashe74 [19]

Answer:

42 plants

Step-by-step explanation:

Dimensions are missing.

Suppose a right triangle has a base of length 7yards and a height of 24 yards.

As you know, Area of triangle can be determined by

Area of triangle 'A'= 1/2 x b x h = 1/2 x 7 x 24

A= 84 yards²

Now she wants 2 plants for each square yard of area

therefore, if the area is 84 yards²:

number of plants are 84/2=> 42 plants

Thus, She wants 42 plants in the garden

6 0

3 years ago

If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)

Temka [501]

Answer:

4x +1 is your answer.

Step-by-step explanation:

What you do is you add f(x) and g(x) together.

4x +1 is your answer.

7 0

3 years ago