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3 years ago

8 people meet, and each person shakes every other person's hand once. how many handshakes occurred?

Mathematics

2 answers:

ch4aika [34]3 years ago

7 0

8x8 = 64

So if every single person handshakes everyone's hand once it would be a total of

64 times

Ymorist [56]3 years ago

3 0

There was 28 handshakes

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6a-2(4a-5)=40<br>How do I solve it

Elza [17]

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

$\frac{-2a}{-2} =\frac{30}{-2}$

6.) Simplify

cancel terms that are in both the numerator or denominator

$\frac{-2a}{-2} =\frac{30}{-2}$

a= $\frac{30}{-2}$

Divide the numbers

a= $\frac{30}{-2}$

a=-15

a=-15

7.) Solution

a=-15

8 0

3 years ago

What are the roots of this equation? x2-4x+9=0

zysi [14]

Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

$x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

The quadratic function is f(x) = x² + 4x +9

Being:

a= 1
b= 4
c= 9

the zeros or roots are calculated as:

$x1=\frac{-4+\sqrt{4^{2}-4x1x9 } }{2x1}$

$x1=\frac{-4+\sqrt{16-36 } }{2x1}$

$x1=\frac{-4+\sqrt{-20 } }{2x1}$

and

$x2=\frac{-4-\sqrt{4^{2}-4x1x9 } }{2x1}$

$x2=\frac{-4-\sqrt{16-36 } }{2x1}$

$x2=\frac{-4-\sqrt{-20} }{2x1}$

If the content of the root is negative, the root will have no solution within the set of real numbers. Then $\sqrt{-20}$ has no solution.

Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

Learn more about the zeros of a quadratic function:

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brainly.com/question/14477557

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6 0

1 year ago

3. Put your straightedge along this line. Draw this line as long as you can.

GrogVix [38]

The answer is 26 trust me I will be ur friend

7 0

3 years ago

Assume that the national credit card interest rate is 12.83 percent. A study of 62 college students finds that their average int

meriva

Answer:

b) 95 percent confidence interval for this single-sample t test

[11.64, 16.36]

Step-by-step explanation:

Explanation:-

Given data a study of 62 college students finds that their average interest rate is 14 percent with a standard deviation of 9.3 percent.

Sample size 'n' =62

sample mean x⁻ = 14

sample standard deviation 'S' = 9.3

<u>95 percent confidence interval for this single-sample t test</u>

The values are $(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-}+t_{0.05}\frac{S}{\sqrt{n} })$ the <u>95 percent confidence interval for the population mean 'μ'</u>

Degrees of freedom γ=n-1=62-1=61

t₀.₀₅ = 1.9996 at 61 degrees of freedom

$(14 - 1.9996\frac{9.3}{\sqrt{62} } ,14+1.9996\frac{9.3}{\sqrt{62} })$

(14-2.361 , 14 + 2.361)

[(11.64 , 16.36]

<u>Conclusion:-</u>

95 percent confidence interval for this single-sample t test

[11.64, 16.36]

<u></u>

6 0

3 years ago

Andy is scuba diving. he starts at sea level and then descends 10 feet in 212 minutes. part a how would you represent andy's des

Mashcka [7]

I would use the starting position, sea level as zero. Then I would convert all those minutes to hours so the answer is an integer and not a decimal.
60 min * (-10 ft / 212 min) = -2.83 ft/hr

round to integer = -3 ft/hr

4 0

3 years ago