100 POINTS!!! Given f(x) = [tex]x^2[/tex] - 6x + 8 and g(x) using a table of values. Show your work.

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:

[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

The two given numbers are 6 and 8

That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]

Substitute  [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

[tex]GM=\sqrt{6 \times 8}[/tex]

Simplifying further:

[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]

Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

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Answer:

[tex] \frac{1}{ 9 }[/tex]

Step-by-step explanation:

[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]

The evaluation of the expression 9^((1/2)b)/3^a is 1/9

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

Now, for this case, we are given that:

a - b = 2

The expression is:

[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]

Since we know that [tex]3^2 = 9[/tex], thus:

[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]

Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]

Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9

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Answer:a.35 degrees b. 145 degrees

Step-by-step explanation: angle 2 and angle 6 are equal they are corresponding

Angle 2 and angle 8 are supplementary they equal 180. So 180-35=145

Answer:

Number 2 is A

Number 3 is (5, -4)

Number 4 is (5, -4)

Number 5 is (4, 2)

Step-by-step explanation:

Answer:

B, maybe (5,-4), (5,-4), (4,2)

Step-by-step explanation:

Translate just means to move, and vertex T just means the dot labeled "T". Move just that point three to he left and two to the right is (-5,0). I would give (5,-4) as the answer for three, but I'm not too sure and don't wanna spread false information... onto number 4. (3,1) and the form is (x,y) Right is positive, so ADD 2 to 3. Down is negative, so SUBTRACT 5 to 1. You now have (5,-4). 2 multiplied by 2 is 4 and 1 multiplied by 2 is 2. (4,2)

Answer:

I can't decide

Step-by-step explanation:

Answer:

Mine is one piece and kumo desu nani ga i love it lol

Step-by-step explanation:

Answer:

the answer to the questions are c,b,a

slope is 5/4 and y intercept is -10 from the given equation.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is y=5/4x - 10

In the given equation the slope is 5/4 and y intercept is -10.

to draw the graph let us find few values

x    0      1            2          3           4

y     -10   -35/4   -30/4    -25/4    -5

Hence, slope is 5/4 and y intercept is -10 from the given equation.

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#SPJ2

Answer:

ithink the first one :p

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

Answer:

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

please mark this answer as brainlest

Answer:

42-x=58

-x=58-42

x=-58+42

x=-16

Answer:

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15 cm

Step-by-step explanation:

correct on edge 2021 assignment

have a good day

dont forget to stay hydrated and wear a mask in public places! <3

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

Answer:

285

Step-by-step explanation:

1175 divided by 412 = 2.85194174757

that would be around 2.85

The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.

Answer:

Kindly check explanation

Step-by-step explanation:

Let :

Lenght of shelf = x

Length of aquarium = y

Usually, the length of shelf will be > length of aquarium

The shelf will have the right and left hand side ;

Subtract Length of aquarium from length of shelf and divide the difference by 2 ;

(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.

Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.

Just input the omitted values of shelf length and aquarium length to obtain the solution.

Answer:

M=1.05n-0.172

Step-by-step explanation:

Answer:

Is this multiplcation cuz its 4

Step-by-step explanation:

4x4=16

Answer:

4X4=16

Step-by-step explanation:

Answer: 100

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

8,633.6 grams

Step-by-step explanation:

you do 16 times 19 because that will tell you how many ounces you have then you do 304 which is 16 times 19, 304*28.4 and there is your answer.