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kramer
3 years ago
11

IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer: It will have a minimum.

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given y left parenthesis z right parenthesis equals space fraction numerator z squared minus 1 over denominator z left parenthes
aivan3 [116]

The simplification of the given algebraic expression is;

yz = (z + 1)/z(z - 1)

<h3>How to simplify algebraic expressions?</h3>

We are given y left parenthesis z right parenthesis which is expressed as; yz

Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction

z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²

Thus, our main expression is;

yz = (z² - 1)/z(z - 1)²

Factorizing the numerator and denominator gives;

yz = (z + 1)(z - 1)/z(z - 1)(z - 1)

(z - 1) is common to both numerator and denominator and as such, we now have;

yz = (z + 1)/z(z - 1)

Read more about Algebraic Expressions at; brainly.com/question/4344214

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5 0
1 year ago
Find the length of each arc. Round to the nearest tenth.
allochka39001 [22]

Answer:

  5.5 units

Step-by-step explanation:

Arc length is given by ...

  s = rθ

  s = (3.5)(π/2) ≈ 5.5 . . . units

6 0
3 years ago
The curve is the graph of function f. Use the graph to find the value of the function for the following values of x: -2,-.5,0,2.
VikaD [51]

Answer:

1, 0.75, 1.25, 3, 0

Step-by-step explanation:

To find the value of the function, we find the y coordinate of the point with the given x value.

7 0
2 years ago
Find the value of x.
son4ous [18]

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

8 0
4 years ago
Find the value of x<br> Segment RS is congruent to ST, mㄴRST=7x-54, mㄴSTU=8
Molodets [167]

Answer:

I am not sure I understand this question.

Step-by-step explanation:

3 0
3 years ago
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