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3 years ago

Solving Systems of Equations by Graphing - Scavenger Hunt

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

15
42,250

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

3 years ago

What is the distance from (-4, -7) to (4, 8) ?

Mila [183]

Answer:

Step-by-step explanation:

We can use this formula:

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$ where x and y indicate the coordinates of the two points

$\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17$

4 0

2 years ago

Read 2 more answers

If x^2=y^2+z^2 what does x equal?

Zepler [3.9K]

Answer:

$\displaystyle x = \sqrt{y^2 + z^2}$

General Formulas and Concepts:

Pre-Algebra

Equality Property

Algebra i

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle x^2 = y^2 + z^2$

Step 2: Solve for x

[Equality Property] Square root both sides: $\displaystyle x = \sqrt{y^2 + z^2}$

3 0

3 years ago

Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find the rate at which Laura a

Lisa [10]

That would be the average of total time paddled upstream & downstream . . . 12 miles / 7 hours = approx 1.71 miles per hr

3 0

3 years ago

Riangle ABC is isosceles. Triangle A B C is shown. The lengths of sides A C and A B are congruent. What is true about the measur

sesenic [268]

Answer: It is equal to the measure of angle C.

Step-by-step explanation:

If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.

6 0

3 years ago

Read 2 more answers