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
NeX [460]
3 years ago
14

Consider the following three equations:

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer:

1.

y = 20(11) + 300 = 520

y = 5(11)(11) = 605    

y = 10(1.4)^11 = 404.96

hence the quadratic formula - y = 5x^2 has the largest y-value

2.

y = 20 (14) + 300 = 580

y = 5 (14) (14) = 980

y = 10(1.4)^ 14 = 1111.20   >    this is greater than both equations above

14 is the smallest value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions

Step-by-step explanation:

skad [1K]3 years ago
7 0

Answer:

1. Quadratic

2. x = 14

Step-by-step explanation:

1. At x = 11

linear: y=20(11) + 300 = 520

Quadratic: y=5× 11² = 605

Exponential: y=10(1.4)¹¹ = 404.956517

2. 10(1.4^x) > 20x + 300

1.4^x > 2x + 30

1.4^x - 2x - 30 > 0

Using trial method:

x > 11

10(1.4^x) > 5x²

1.4^x - 0.5x² > 0

Using trail method:

x > 13

The smallest positive integer which satisfies both inequalities is 14

You might be interested in
Sally is 4 years older than Brody. Evelyn is 3 times older than Brody. If Brody's age is represented by x, create an expression
xxTIMURxx [149]

Answer:

Its C. 5x +4

Step-by-step explanation:

5 0
2 years ago
Write an integer for a profit of $460
yanalaym [24]

Answer:

An integer may be +460 because profit means to increase.  

So the answer is +460.

4 0
3 years ago
The perimeter of a parallelogram is 76 inches and 1 side measures 14 inches of it can be determined what are the lengths in inch
nydimaria [60]

The dimension of the parallelogram ABCD will be 14 inches, 48 inches, 14 inches and 48 inches.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The perimeter of a parallelogram is 76 inches.0

And one side measure is 14 inches.

Then the rest of the sides will be

We know that opposite sides are prallel and equal.

Let ABCD is a parallelogram.

AB = CD = 14 inches

BC = AD = x

Then the value of x will be

We know

 P = 2(AB + BC)

76 = 2(14 + x)

 x = 48

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

5 0
1 year ago
A water tank that holds 500 gallons leaks LaTeX: \frac{1}{2}1 2 gallon of water every hour. What is the rate of change for the f
Paul [167]

Answer:

250

Step-by-step explanation:

4 0
2 years ago
Which expressions are equivalent to 6 (–x) 2x (–7) 2x? Check all that apply. X x 6 – 7 x 2x 2 x 3 – x 2x – 4 2x x – 1 x 1.
qaws [65]

Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Given information

The given expression in the problem is,

6+(-x)+2x+(-7)+2x

<h3>Equivalent expression</h3>

Equivalent expression is the expression which is equal to the original equation but the way of representation is different.

The given equation is,

6+(-x)+2x+(-7)+2x

As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.

6+(-x)+2x+(-7)+2x=6-x+2x-7+2x\\&#10;6+(-x)+2x+(-7)+2x=-x+2x+2x+6-7\\&#10;6+(-x)+2x+(-7)+2x=3x-1

Check all the option,

  • 1) The expression given in the option 1 is,

x+x+6-7+x

Solve it further,

x+x+6-7+x=x+x+x+6-7\\&#10;x+x+6-7+x=3x-1\\

The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.

  • 2) The expression given in the option 2 is,

2x+2+x

Solve it further,

2x+2+x=2x+x+2\\2x+2+x=3x+2

The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.

  • 3) The expression given in the option 3 is,

3-x+2x-4+2x

Solve it further,

3-x+2x-4+2x=3x-1

The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.

  • 4) The expression given in the option 4 is,

x-1

The expression of the option 4 is not equivalent to the expression given in the problem.

  • 5) The expression given in the option 4 is,

x+1

The expression of the option 5 is not equivalent to the expression given in the problem.

Hence the equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Learn more about the equivalent expression here;

brainly.com/question/10628562

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please answer ASAP!!! Will give branliest!!!
    11·1 answer
  • John saved money to have a party if he spends 2/8 of his money on food 1/5 of his money on prizes and 2/10 of his money on decor
    14·1 answer
  • sophia is 6 years older than her brother eric. the sum of their ages is 28. write and solve an equation to find sophia and Eric'
    10·1 answer
  • Please help 30 points
    7·1 answer
  • What is the average rate of change of the function f(x) =<br> x2 + 4 for 1 Sx &lt;5?
    6·1 answer
  • The number of bats in a colony is growing exponentially. After 2 years, there were 180 bats. After 5 years, there were 1440 bats
    12·1 answer
  • Which of the following is a rational number? (4 points)
    6·2 answers
  • Write the word as an equation. then solve.<br>the product of 15 and a number x is -75
    6·1 answer
  • Which is the net for this rectangular prism?
    10·1 answer
  • Please help me 7th math
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!