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2 years ago

Please help- 15 points !!

Mathematics

1 answer:

kogti [31]2 years ago

3 0

Answer:

Step-by-step explanation:

If a quadrilateral is inscribed in a circle, the opposite angles add to 180°.

Therefore:

$83^o+y^o=180^o$ <em>subtract 83° from both sides</em>

$83^o-83^o+y^o=180^o-83^o\\\\y^o=97^o$

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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?

Pepsi [2]

Answer:

$(f+g)(2) = 14$

$f(g(x)) = 2x^2 + 4x +3$

$\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}$

$f(2) + g(-2) = 6$

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and $g(x) = x^2 + 2x +1$ .

(f+g)(x) is the functions f and g added together with 2 substituted for x.

$(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14$

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

$f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3$

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

$\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}$

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

$f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6$

7 0

2 years ago

Read 2 more answers

Let S be the universal set, where:

kolezko [41]

A' = {7,8,10}

B' = {1,3,59}

Given,

Let S be the universal set, where:

S = {1,2,3,4,5,6,7,8,9,10}

Let sets A and B be subsets of S, where:

Set A = {1,2,3,4,5,6,9}

Set B = {2,4,6,7,8,10}

We need to find the elements in the set (A') and (B)'

<h3>What is a complement of a set?</h3>

A compliment of a set D is denoted by D' or D bar.

It means the set contains all elements in the universal set U other than the elements in set D.

Example:

U = {1,2,3,4,5,6,7,8,9}

D = {1,2,3,4,5}

D' = {6,7,8,9}

Find A' and B'

S = {1,2,3,4,5,6,7,8,9,10}

A = {1,2,3,4,5,6,9}

B = {2,4,6,7,8,10}

A' = {7,8,10}

B' = {1,3,59}

Thus,

A' = {7,8,10}

B' = {1,3,59}

Learn more about the complement of sets here:

brainly.com/question/20319548

#SPJ1

3 0

1 year ago

Please help Which expression is equal to...?

Margarita [4]

Answer:

the last one $-\sqrt{5}$

Step-by-step explanation:

3 0

2 years ago

Plzz help ... I'm thinking it's either c or d

iren [92.7K]

Looking at the slope of the "best-fit" line, you can see that for every two hours of homework, 15 more points are scored. (compare t=0 to t=2).

For t=5, the line seems to go through 47.5. So for t=7, which is two hours more, you'd expect a score of 47.5+15 = 62.5.

That answer is in the list, so I'd choose that.

In reality, you would never be able to have any score you like just by putting more hours in, so this can never be a straight line forever...

5 0

2 years ago

Read 2 more answers

Why do certificates of deposit tend to offer better interest rates than money market accounts?

victus00 [196]

Answer:

Step-by-step explanation:

Certificates of deposit are only available to the bank's most proven and valuable customers, so the bank can afford to give a greater interest rate on them.

6 0

2 years ago