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Llana [10]
3 years ago
15

How to find the maximum or minimum value of a quadratic function?

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

Vertex form

Step-by-step explanation:

You convert to  vertex form  a(x - b)^2 + c . The coordinates of the maxm/minm will be (b, c).

For example find minimum value of  x^2 + 5x - 6:-

x^2 + 5x - 6

=  (x + 2.5)^2 - 6.25 - 6

= (x + 2.5)^2 - 12.25

The coordinates of minimumm will be (-2.5, -12.25)  The values of the minimum of the function is -12.25

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A circle has a circumference of 44m. What
MakcuM [25]
<h3>Answer: B. 154 square meters</h3>

================================

Work Shown:

C = 44 is the circumference

in general, the circumference of a circle is

C = 2*pi*r

Plug in C = 44 and solve for r.

C = 2*pi*r

44 = 2*pi*r

2*pi*r = 44

r = 44/(2pi)

r = 7.0028175 which is approximate

--------------------

Now plug this into the formula for the area of a circle

A = pi*r^2

A = pi*(7.0028175)^2

A = 154.061985

A = 154 rounding to the nearest whole number

3 0
3 years ago
Read 2 more answers
I need help ASAP on this algebra question
Misha Larkins [42]

Answer:

As x goes to negative infinity, g(x) goes to zero.

As x goes to positive infinity, g(x) goes to zero.

(So the answer is the second option)

Step-by-step explanation:

We have the function g(x)=\frac{1}{x^2}

First, let's look at what happens when we input smaller and smaller numbers

g(-10)=\frac{1}{100} \\\\g(-100)=\frac{1}{10000}

As we can see, as we input smaller and smaller numbers, the answer gets smaller.

Eventually, these fractions will be so small that they will get closer and closer to zero.

This same thing applies to larger and larger numbers, so the end behavior of each side will both be zero.

4 0
2 years ago
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
juin [17]

Answer:

A. PR = 80.6 yd

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}

PR = \sqrt{(70)^2 + (-40)^2}

PR = \sqrt{4,900 + 1,600}

PR = \sqrt{6,500}

PR = 80.6 yd (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0
2 years ago
How is math used in making murals?(subject:Collage and Career readiness)
Stella [2.4K]
She 56/92 6-5=1 and 567-1=566
3 0
2 years ago
how many three foot wide pieces of fencing are needed to surround the perimeter of a yard that is 15 feet long and 24 feet wide?
NeX [460]

Answer:

u need 78 feet of the three foot wide fencing

5 0
3 years ago
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