1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
strojnjashka [21]
3 years ago
5

In a volatile housing market, the overall value of a home can be modeled by v(x) = 325x2 – 4600x + 145000, where v represents th

e value of the home and x represents each year after 2020. find the vertex and interpret what the vertex of this function means in terms of the value of the home. show the work you completed to determine the vertex
Mathematics
1 answer:
alekssr [168]3 years ago
3 0

The vertex of the housing market function is its maximum value

The vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25

<h3>How to determine the vertex?</h3>

The function is given as:

v(x) = 325x^2 - 4600x + 145000

Differentiate

v'(x) = 2*325x - 4600

Set to 0

2*325x - 4600 = 0

Collect like terms

2*325x = 4600

Solve for x

x = 7.1

Substitute 7.1 in V(x)

v(7.1) = 325*7.1^2 - 4600*7.1 + 145000

v(7.1) = 128723.25

Hence, the vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25

Read more about vertex at:

brainly.com/question/15914313

You might be interested in
Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r
Wewaii [24]
Each team needs two people for a 3-legged race.
Therefore, the number of orders (combinations) of 2 people at a time from 8 is
₈C₂ = 8!/(2!6!)
      = (8*7*6!)/(2*6!)
      = (8*7)/2
      = 56/2
      = 28

Answer: 28
8 0
3 years ago
1+secA/sec A = sin^2 A / 1-cos A​
Fofino [41]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}

\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}

\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}

\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}

\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark

3 0
4 years ago
If the perimeter of a regular enneagon is 74.7mm how long is one side?
Verdich [7]

Answer:

<em>8.3 mm</em>

Step-by-step explanation:

An enneagon is a polygon with 9 sides, also called nonagon.

In a regular polygon, all sides are congruent, so the length of any side is the perimeter divided by the number of sides.

length of a side = perimeter/number of sides

length of a side = 74.7 mm/9 = 8.3 mm

8 0
3 years ago
What is an equation of the line that passes through (2,2) and is parellel to the line y=7x
laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

Where m =slope

We get

Slope = m = 7

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

4 0
3 years ago
HELP!!!!!<br><br> what is the 34th term: a1 = 3.2, d = 2.6
Maurinko [17]

Answer:

idk


Step-by-step explanation:


3 0
4 years ago
Other questions:
  • If 42 pushups is done in 3 minutes how many can be done in 5
    11·1 answer
  • CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE and show how you got the answer, please!?!? I WILL GIVE BRAINLIEST!!!!!!
    9·1 answer
  • How would I solve this. What is the answers
    12·1 answer
  • If Mary deposits $275 in principal at an interest rate of 3.2 percent, how much interest will she earn in one year
    14·2 answers
  • Suppose you know that &lt;T and&lt;S are supplementary, and that m&lt;T=3(m&lt;S). How can you find m&lt;T?​
    10·1 answer
  • Determine the solution set of (3x+1)^2-100=0<br> {3,-3}<br> {3,-11/3}<br> {-11/3,-3}
    8·1 answer
  • A car is traveling at a speed of 75 kmh. Compute the speed of the car in m/s.
    14·2 answers
  • Cameron has a bag that contains one silver(s) and one gold(G)
    15·2 answers
  • Y = 3x – 21 is it proportional
    9·1 answer
  • Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 4 times the number o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!