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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

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Aleksandr-060686 [28]

Answer:

  • 0, -1, 1, 1, 1

Step-by-step explanation:

<u>Given recursive formula</u>

  • a₁ = 0
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<u>The first 5 terms are:</u>

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  • a₂ = 2(0)² - 1 = 0 - 1 = -1
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7 0
3 years ago
abby baked 48 cookies and divided them evenly into bags. let b represent the number of bags. write and algebraic expression to r
dybincka [34]
The words literally tell you what to do.
<em>b</em> = the number of bags.

You need to "divide the cookies evenly"

We have "48 cookies".

Now we need to put that together.

48/<em>b</em> is your answer.
<em>
</em><em>Don't forget to rate this answer the Brainliest!</em>


7 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
3 years ago
Which expression are equivalent to 4+4x+2y+x-y)?
In-s [12.5K]

Answer:

The answer to that is 5x+y+4 but the equivalent is

4(3x + y) and 12x + 4y

Step-by-step explanation:

8 0
3 years ago
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uysha [10]

Answer:

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Step-by-step explanation:

I think this would be the asnwer bceause the formula is volume = base times the height which is 3 times 6.4 in yoru case which is 19.2 cubed cm.

4 0
3 years ago
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