Match the median to the data set.
101, 108, 98, 105, 94. 106
median = 103
98, 100, 103,107, 108, 112
-a
median 105
93, 96, 98, 101, 104
-0
median = 98

1. Simplify the quadratic equation into its standard form

Formula : ax^2+bx+c=0

Subtract  from both sides:

x^2-10x+25=51

x^2-10x+25-51=0

x^2-10x-26=0

Use the standard form,  ax^2+bx+c=0, to find the coefficients of our equation.

x^2-10x-26=0

a=1

b=-10

c=-26

The quadratic formula gives us the roots for ax^2+bx+c=0, in which a, b and c are numbers (or coefficients), as follows :

x=(-b±sqrt(b^2-4ac))/(2a)

to get the result :

x=(10±sqrt(204))/2

Simplify 204  by finding its prime factors:

The prime factorization of 204 is 2^2*3*17

x_2=-2.141

Answer:

x = 5 ± √51

Step-by-step explanation:

x² - 10x + 25 = 51

x² - 10x + 25 - 51 = 51 - 51

x² - 10x - 26 = 0

Factors with a product of -26 and a sum of -10:

NONE! Solve by completing the square (see attachment)

Step 1: Rearrange

x² - 10x + 25 = 51

x² - 10x = 26

Step 2: Add (b/2)² to both sides

x² - 10x + (-10/2)² = 26 + (-10/2)²

x² - 10x + 25 = 51

Step 3: Factor and solve

(x - 5)² = 51

x - 5 = √51

x = 5 ± √51

Answer:

The answer is 75

Step-by-step explanation:

Answer:

add all of them together (x and y’s) the divide the sum by the amt of numbers

Step-by-step explanation:

Answer:

1. 0

2. -2.5

3. 5

4.  -2.5

5.  -4

Step-by-step explanation:

Did this by adding the scores together and then dividing by the number of scores added

Answer:

  f(x) = 2 -2^x

Step-by-step explanation:

The graph has a horizontal asymptote at y = 2. It has a slope that doubles in each unit interval. This tells you it is an exponential function with a base of 2, and a vertical translation of 2. The curve downward, rather than upward, means the function has been reflected across a horizontal line.

__

An exponential function of the form ...

  y = a·b^x

will have a horizontal asymptote at y=0. The asymptote here is y=2, so 2 has been added to the function value.

The slope of the above function (y=a·b^x) will be multiplied by a factor of 'b' when x increases by 1. Your graph has a slope (rise/run) of -1 for x between 0 and 1, a slope of -2 for x between 1 and 2, and a slope of -4 between x=2 and 3. This behavior indicates that b=-2/-1 = -4/-2 = 2.

The function so far looks like ...

  y = a·2^x +2

Using x=0, we can find the value of 'a'.

  1 = a·2^0 +2

  -1 = a . . . . . . . . subtract 2

Then the function is ...

  f(x) = -2^x +2

Answer:

15 ft

Step-by-step explanation:

I'm not sure but I think u add them together to get ur answer

hope it helps

Answer:

23/10

Step-by-step explanation:

and put the denominator as it is

[tex]\boxed{\rm{pls\:refer\:to\:explanation}}[/tex]

Step-by-step explanation:

First multiply the whole part (2) times the denominator (10) :

20

Add the numerator (3) :

23

That's the numerator of our improper fraction .

The denominator stays the same .

[tex]\boxed{\frac{23}{10}}[/tex]

[tex]\footnotesize\text{hope\:helpful}[/tex]

Let's consider the information given:

          ⇒ means that all the side lengths are equal

To calculate the area of the hexagon:

   ⇒ must know the formula

         [tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]

Let's solve: (remember we need to round the final answer to the nearest hundredth)

   [tex]Area = \frac{3\sqrt{3} }{2} *7^2=73.5\sqrt{3} =127.306[/tex]  ≈ 127.31 square units

Answer: 127.31 square units

Hope that helps!

Answer: 10/8 = 1 1/4

Step-by-step explanation:

2x5 =10

4x2 =8

10/8= 1 2/8 = 1 1/4

Answer:

x > 4 or x < -1

Step-by-step explanation:

[tex]2x - 3 > 5[/tex]

[tex]2x > 8[/tex]

[tex]x > 4[/tex]

[tex]2x - 3 < - 5[/tex]

[tex]2x < - 2[/tex]

[tex]x < - 1[/tex]

Answer:

Can't answer this without knowing the height of the rectangle ...

Step-by-step explanation:

Answer: 3.2

Step-by-step explanation: Trust me, I got it right.

Answer:

First,you need to find the components of each force.

Answer:

A=LxW

Step-by-step explanation:

cut the shape into easier pieces then go to one piece and x the W with the L for example 4x5 then x them and youll get your area like this A=LxW = 20=4x5 like that then do the same for the other pieces then once you x them all add them and youll get the whole area for your shape

hoped it helped :)

Recall that for all [tex]z\in\Bbb C[/tex],

[tex]\displaystyle e^z = \sum_{n=0}^\infty \frac{z^n}{n!}[/tex]

Then

[tex]\displaystyle \frac{e^{z^2}}{z^3} = \frac1{z^3} \sum_{n=0}^\infty \frac{z^{2n}}{n!} = \boxed{\sum_{n=0}^\infty \frac{z^{2n-3}}{n!}}[/tex]

Answer:

The digit 5 is equal to is 5,000 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The thousandth digit!

Step-by-step explanation:

Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4

The slope intercept equation can be describe as follows:

y = mx + b

where

Therefore,

(-4, 0)(1, -5)

m = -5 - 0 / 1 + 4 = -5 / 5 = -1

Therefore, let's find b using (1, -5)

-5 = -1(1) + b

-5  = -1 + b

b = -5 + 1

b = -4

Therefore, the equation is y = -x - 4

learn more on slope intercept equation here: https://brainly.com/question/21010520

Answer:

24:37

Simplify the ratio by dividing by the GCF, in this case, two.

[tex]\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37[/tex]

Answer:

60%

Step-by-step explanation:

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

Given:

Substituting these into the formula:

[tex]\implies \sf \left(\dfrac{24}{40}\right) \times 100=0.6 \times 100 = 60 \%[/tex]

Therefore, 60% of the club members voted for Goran.

Answer:

Total amount of every money dat I have deposited

Answer:

Step-by-step explanation:

[tex]\frac{x^2 -3x-10}{x^2 -6x+5}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x-5)(x+2)}{(x-5)(x-1)}[/tex] × [tex]\frac{x-2}{x-5}[/tex] = [tex]\frac{(x+2)(x-2)}{(x-1)(x-5)}[/tex]  ( Domain is x ≠ 1 and x ≠ 5 )

The expression has an excluded value of x = 5

Answer:

$77.514

Step-by-step explanation:

28.6 x 1.74 + 27.75 =  77.514

Answer:

y = 1

Step-by-step explanation:

Given

⇒ y = kx⁴

Finding the proportionality constant, k

Finding y

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{(x_{1} \: - y_{1})[/tex]

        [tex]\sf{S = x^2 \: + \: y^2 \: - \: 4x \: - \: 6y \: - \: 12 = 0}[/tex]

        [tex]\sf{S_{1} = y^2 \: + \: y^2 \: + \: 6x \: + \: 18y \: + \: 26 = 0}[/tex]

 [tex]\sf{P(x_{1}, \: y_{1}) \: is \: any \: point \: on \: the \: locus \: and \: PT_{1,} \: PT_{2} \: are \: the \: tangents \: from \: P \: to \: the \: two \: circles.[/tex]

       [tex]\sf{3x^2 \: + \:3 y^2 \: - \: 12x \: - \: 18y \: - \: 36 = 2x^2 \: + \: 2y^2 \: + \: 12x \: + \: 36y \: + 52}[/tex]

       [tex]\sf{x^2 \: + \: y^2 \: - \: 24x \: - \: 54y \: - \: 88 = 0}[/tex]

[tex]\sf{This \: is \: the \: locus \: P \: \sf{(x_{1} \: - y_{1})[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer: 21

Step-by-step explanation:

Answer: 8

just guessed it

Step-by-step explanation:

<1 = 180°-102° = 78° (the extended angle is 180°)

<2 = <5 = 58°

<3 = 180° - 78° - 58° = 44° (the sum of the angles inside of a triangle is 180°)

<4 = 180° - 44° - 58° = 78° = <1 (the extended angle is 180°)

Answer:

500,000 + 4,000 + 40 + 7

Answer:

By simplifiying the expression we get

−x+4

Answer:

-x+4

Step-by-step explanation:

Subtract: 37-33

Combine like terms: 6x-7

Rearrange terms: -x+4

Based on the current income to Frenza, and the proposed expansion amount, the net income and return on equity for the three options are:

Don't Expand:

Debt financing:

Equity financing:

Net income will remain at $100,000.

Return on equity would be:

= Net income / Equity

= 100,000 / 400,000

= 25%

Income goes to $150,000.

Net income:
= Income - interest

= 150,000 - (8% x 160,000)

= $137,200

Return on equity:

= 137,200 / 400,000

= $34.3%.

Income goes to $150,000.

No interest payment so net income is $150,000.

Return on equity:

= 150,000 / (400,000 + 150,000 new equity)

= 26.8%

Find out more on return on equity at https://brainly.com/question/1427854.

Answer:

x=36

Divide the corresponding side (16) by 4/7

Answer:

x=36

Divide the corresponding side (16) by 4/7

Step-by-step explanation:

x=16×9/4=36

Answer:

The maximum rate of change of the given function is equal to 3√2.

The direction at which the vector points is given by the unit vector [tex]\displaystyle \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j}[/tex].

General Formulas and Concepts:
Pre-Calculus

Vectors

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Multivariable Calculus

Partial Derivatives

Gradient:
[tex]\displaystyle \nabla f(x, y, z) = \frac{\partial f}{\partial x} \hat{\i} + \frac{\partial f}{\partial y} \hat{\j} + \frac{\partial f}{\partial z} \hat{\text{k}}[/tex]

Gradient Property [Addition/Subtraction]:
[tex]\displaystyle \nabla \big[ f(x) + g(x) \big] = \nabla f(x) + \nabla g(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle f(x, y) = x^2y^2 + xy - 10[/tex]

[tex]\displaystyle \text{Point} \ (1, 1)[/tex]

Step 2: Find Maximum Rate of Change

∴ the maximum rate of change of the given function f(x, y) is equal to 3√2.

Step 3: Find Direction

∴ we have found the direction of the gradient.

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Learn more about gradient: https://brainly.com/question/6158243

Learn more about multivariable calculus: https://brainly.com/question/2407209

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Topic: Multivariable Calculus

Unit: Directional Derivatives