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marin [14]
3 years ago
8

look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

Step-by-step explanation:

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The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?
Katarina [22]
You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.
5 0
3 years ago
Read 2 more answers
In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absol
Pavlova-9 [17]

Answer:

  • 30 min
  • 20%

Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

__

The relative change is expressed as a fraction of the original game length:

  (30 min)/(150 min) × 100% = 20% . . . . relative change in game length

6 0
3 years ago
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
MA_775_DIABLO [31]

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

4 0
3 years ago
A submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a
kipiarov [429]

Answer:

\boxed{\text{652 ft}}

Step-by-step explanation:

The submersible is diving at a down angle of 15° along the hypotenuse AC of triangle ABC.  

Its horizontal track along the surface AB is 1500 ft.

\begin{array}{rcl}\tan A & = &\dfrac{BC}{AC}\\\\\tan 15^{\circ} & = & \dfrac{a}{1500}\\\\0.2679 & = & \dfrac{a}{1500}\\\\a & = & 1500 \times 0.2679\\& = & \textbf{402 ft}\\\end{array}

The submersible was already at a depth of 250 feet when it began the dive.

New depth = 250 + 402 = 652 ft

\text{The depth after the dive is }\boxed{\textbf{652 ft}}

6 0
3 years ago
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