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
ANEK [815]
3 years ago
8

For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2

7x^2+3.3x+77 where x is the number of years since 1997
a. Write and solve an equation that you can use to approximate the year(s) in which 80 billion eggs were produced.

B. Graph the function on a graphing calculator. Use the trace feature to fin the year when 80 billion eggs were produced. Use the graph to check your answer from part (a).

Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

y=-0.27x^{2}+3.3x+77

For y=80\ billion\ eggs

Solve the quadratic equation

80=-0.27x^{2}+3.3x+77

0.27x^{2}-3.3x+3=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

0.27x^{2}-3.3x+3=0

so

a=0.27\\b=-3.3\\c=3

substitute in the formula

x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}

x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}

x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years

x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

y=-0.27x^{2}+3.3x+77

y=80

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

You might be interested in
Please help. Please. I will mark brainliest
kolbaska11 [484]

Answer:

what type of math is this i never seen this before

7 0
3 years ago
When asked to factor the trinomial x^2-16x+64, a student gives the answer (x – 8)(x + 8). Which of the following statements is t
Murrr4er [49]

Answer:

The answer is incorrect; the plus sign should be a minus sign (apex)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If zach runs 6 miles, 5 days a week. How many miles does he run in 2 weeks,
Genrish500 [490]

Answer:

60 miles

Step-by-step explanation:

In 1 week Zach will run

6* 5 = 30 miles

Multiply this by 2 for 2 weeks

30*2 = 60 miles

4 0
3 years ago
Round the following number to four significant figures: 3.682417 *
Dovator [93]

Answer:

3.682

Step-by-step explanation:

We don't consider the decimal place or I should say comma so then we read from the first digit as long as it's not zero then until the fourth digit we look at the next digit if it's 5 or greater then we add 1 to the previous digit. And if the next digit is less than 5 then the digit won't change

7 0
2 years ago
What is the area of the triangle? ​
beks73 [17]
The area of a triangle is 180
4 0
3 years ago
Other questions:
  • A $95 graphing calculator is on sale for $85.50. The percent decrease is
    11·1 answer
  • The diagram shows a square of side 3 in. containing a circle of diameter 3 in. To the nearest hundredth, what is the area of the
    15·1 answer
  • Express the number in scientific notation. 63,600,000
    11·2 answers
  • Find the value of Z. [Inscribed Angle]
    7·2 answers
  • Which graph represents this system?<br> 3x+2y=-6<br> y=-x+2<br> 2
    9·1 answer
  • Donna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz.
    9·1 answer
  • Dylan has a coworker who is always showing up late and then not finishing his work on time. It's frustrating the other members o
    12·1 answer
  • Will get brainliest<br>What is the value of x?​
    6·1 answer
  • What is the equation to the graph? <br>​
    8·1 answer
  • Help! What’s the answer.. It’s a Khan Academy Problem
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!