Mathematics and body temperature? Please answer the questions in 3.

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Which function is the inverse of

[tex]f(x)=x^2-16[/tex]

if the domain of f(x) is x ≥ 0?

The inverse funtion of the given function is given by

[tex]\mathbf{f(x)=\sqrt{x+16}}[/tex]

where the domain is x ≥ -16.

Given the function is,

[tex]f(x) =x^2-16[/tex]

Let, y = f(x)

[tex]y = x^2-16[/tex]

Adding 16 to both sides we get,

[tex]y + 16 = {x}^{2} - 16 + 16[/tex]

[tex] {x}^{2} = y + 16[/tex]

Now, square rooting to both sides we get, since x ≥ 0

[tex]\sqrt{x^2}=\sqrt{y+16}[/tex]

[tex]x=\sqrt{y+16}[/tex]

[tex]f^{-1}(y)=\sqrt{y+16}[/tex]

Hence substituting x in place of y,

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Above function is the required inverse function where the domain of that is given by, x ≥ -16.

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The relationship between lines m & n is (a) the lines M and N have positive slope

The points are given as:

From the above points, we can see that:

As  x increases, the y values of both lines increase

This is an illustration of positive slope

Hence, the lines M and N have positive slope

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Answer:

0

Step-by-step explanation:

all the question is asking is

if x is 2 then what is y

the line on the left is downward facing line which ends at

(2,0) <- where is x is 2 and y is 0

the upward facing line on the right does start at (2,3)

but the dot there is a

hollow dot

hollow dot represents excluded value

Answer:

the answer is (D) F-1 (X) = 7x - 3

Step-by-step explanation:

Answer:

[tex]\log_48[/tex]

Step-by-step explanation:

[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]

Answer:

3-8x 34= -5x 34 = -170

Step-by-step explanation:

Answer:

So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72

Step-by-step explanation:

11/24

4/9

now we do 11 x 9 equals 99 so now 4 x 24 = 96

now we take the two new denominators2 24 and 9

and we do 24 x 9 = 216 so now we got

99/216

96/216

now 99 - 96 is 3 so we got a new fraction

3/216 now we just simplify that  so we get 1/72

B = y - mx = 1 - (2/3)(0) = 1

y = (2/3)x + 1

Based on the calculations, the average selling price for these properties is equal to $127,865.

Mathematically, the average selling price for these properties would be calculated by using the following formula:

Average price = [F(x)]/n

Note: The total number of properties is equal to 5.

Substituting the given parameters into the formula, we have;

Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5

Average price = 639,325/5

Average price = $127,865.

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Complete Question:

Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?

Answer:

I think its y = 2.

Then, your answer will be 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10    ans.

Hope its helpful!

Answer:

If y = 2.

Your answer is 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10   ans.

Hope its helpful!

Answer:

x could be anything but might be 3<4 or 5?8 u really never kno

Answer: [tex]230^{\circ[/tex]

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] are tangents to the circle.

Therefore, we know [tex]\triangle ABO \cong \triangle CBO[/tex] by HL.

Thus, by CPCTC,

[tex]\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}[/tex]

This means the measure of minor arc AC is [tex]130^{\circ}[/tex], and thus [tex]b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}[/tex]

Step-by-step explanation:

By putting value of a and b in 3b-a

The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 3b - a

Plug a = -7 and b = 4

= 3(4) - (-7)

= 12+7

= 19

Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

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Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Let us consider the number to be 'n'.

Given condition :

Subtract '5n' from each side :

Subtract '8' from each side :

Divide '2' from each side :

∴ The number is -2.

Answer:

28

Step-by-step explanation:

1 dog = 4 legs, 2 dogs = 8 legs

1 horse = 4 legs, 4 horses = 16 legs

1 giraffe = 4 legs.

So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.

(8 + 16 + 4)

We get the final answer: 28

Answer:

Vertex

Step-by-step explanation:

Vertex is the 'point' of an angle

The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Dilation is a transformation, which is used to resize the object.

As the radius of big circle is 6 then the dilation should be scale factor 3.

As well as they should share the same center.

The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

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Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)⁵

A = 10,200(1-0.08)⁵

A = 10,200(0.92)⁵

A = 10,200(0.6591)

A= $6,722.63

Answer:

38.4

Step-by-step explanation:

32×%20=6.4

32+6.4=38.4 new price

Answer:

(0, 0)

Step-by-step explanation:

Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x

[tex]0 = log_2{(x+2)}-1[/tex]

Add 1 to both sides

[tex]1 = log_2{x+2}[/tex]

Rewrite the equation in exponential form:

[tex]2^1=x+2[/tex]

Subtract 2 from both sides

[tex]0 = x[/tex]

So the zero of the function is at the origin (0, 0)

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Answer:

xxfdjdjwkoq9w Woow Kike sosl

Answer:

√a^3−7-4

Step-by-step explanation:

Replace all occurrences of + − with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ −1= −1

A ratio shows us the number of times a number contains another number. The correct option is A.

A ratio shows us the number of times a number contains another number.

The ratio of fertilizer to soil is,

Fertilizer/Soil = 12 ounces / 10 pounds

The amount of fertilizer that the farmer need to mix for 120 pounds of soil is,

Fertilizer/120 pounds = 12 ounces / 10 pounds

Fertilizer = (12 ounces × 120 pounds)/10pounds

Fertilizer = 144 ounces

Hence, the correct option is A.

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The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

  f(x) with entries 26, 197, 50, 170, 197.

Option A is the correct answer.

We have,

A one-to-one function is a function that has one output for one input.

Now,

A.

x with entries 5, 14, 7, 13, 12.

f x) with entries 26, 197, 50, 170, 197.

This is a one-to-one function.

B.

x with entries -2, -1, 0, 1, 2.

f(x) with entries 5, 2, 1, 2, 5.

This is not a one-to-one function.

The x values -1 and 1 have the same f(x) value 2.

C.

x with entries 7.25, 7.5, 7.75, 8, 8.5.

f(x) with entries 11, 13, 15, 13, 11.

This is not a one-to-one function.

The x values 7.25 and 8.5 have the same f(x) value 11.

Thus,

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

   f(x) with entries 26, 197, 50, 170, 197.

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Answer:

More than 30 dollars

Step-by-step explanation:

This situation can be described with the inequality:

x - 5 > 25

1. Add 5 to both sides

2. X > 30

Answer:

Where are the exercizes.

Answer:

Brand A is the best buy.

Step-by-step explanation:

Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be 5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be 8.47/48 = $0.8 per pencil rounded up to the nearest tenth.Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.