Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.

Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.

Answer:

The correct two options are:

The maximum value of the range is 4.

The range of g(x) is {y| –1 < y ≤ 4}.

Step-by-step explanation:

The missing diagram is attached in the image below:

It is pertinent to understand that the domain is the set of all possible mathematical points where a given function is defined. In the diagram attached below, the domain relates to all possible values of x.

The range relates to all possible values of y.

From the graphical diagram;

The domain is (-4 ≤ x ≤ -1 and 0 ≤ x < 3); &

The range is  -1 < y ≤ 4.

We could see from the graph as well that, the maximum value of the range extends from -1 to 4 which indicates that the largest possible value is 4.

Answer:

The answer is B and D

Step-by-step explanation:

Answer:

D.6

Step-by-step explanation:

Answer:

where is the digram?

Step-by-step explanation:

Answer:

It's C, g(x) = (1/2)^x

This is a horizontal reflection of y = 2^x

across the y axis.

Step-by-step explanation:

Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.

The transformations of a standard exponential function can be given by:

ab^(1/c(x-h))+k

First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.

Answer:

-13.858 !!!

Step-by-step explanation:

Answer:

(6) 300+40+8+0.17 or (3*100)+(4*10)+(8*1)+(17*0.01

(7) C.

(8) $31.10

(9) -$10.64 or he lost $10.64

(10) B.

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

25

Step-by-step explanation:

see how many times you can put 39 into 975

975 / 35 = 25

See picture:

Answer:

24

Step-by-step explanation:

Find the factors of each until you get a match.

Hot dogs 8: 8, 16, 24

Buns 12: 12, 24

24

Answer:

it is 24

Step-by-step explanation:

i just finished my Cumulative Exam Review on edge

Answer:

Step-by-step explanation:

[tex]\frac{10a}{10}[/tex] = [tex]\frac{50}{10}[/tex] ( Division property of equality )

or

10a × [tex]\frac{1}{10}[/tex] = 50 × [tex]\frac{1}{10}[/tex] ( Multiplication property of equality )

(It depends of the options you have in the answer choices)

Answer:

100,000,000

Step-by-step explanation:

Multiply.

10 x 10 x 10 x 10 = 10,000

Then multiply 10,000 to the power of 2

10,000 x 10,000

The answer is 100,000,000

Hope this helped :)

The theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).

The Hypotenuse-leg Congruence Theorem (HL) states that if one leg and hypotenuse of a right triangle are congruent to one corresponding leg and hypotenuse of another, both right triangles are congruent.

The two right triangles have a pair of congruent legs and a pair of congruent hypotenuse.

Therefore, the theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).

Learn more about Hypotenuse-leg Congruence Theorem (HL) on:

https://brainly.com/question/16921692

Answer:

0.45d

Step-by-step explanation:

Given that :

Amount of paycheck = d

Amount spent on rent = 18%

Amount spent on insurance = 15%

Amount spent on food = 22%

Amount put into savings = d - 0.18d - 0.15d - 0.22d

Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)

d - 0.55d

Amount put into savings = 0.45d

Answer:

12 and 40

Step-by-step explanation:

You add it up! I hope this helps!! Have a great day!

Answer:

The Answer is 90

Step-by-step explanation:

30 X 9 = 2,700

Answer:

7.85mph

Step-by-step explanation:

19.625mi / 2.5hr = 7.85mph

Answer:

Step-by-step explanation:

I know that

Answer:

3:2

Step-by-step explanation:

Answer:

666666666

Step-by-step explanation:

9514 1404 393

Answer:

  2x -3y = 15

Step-by-step explanation:

Add 5-y to put the variables on the same side of the equal sign. Then multiply by 3 to clear the fraction.

  5 = 2/3x -y

  15 = 2x -3y

  2x -3y = 15 . . . . standard form

Answer:

The correct option is;

A) Components: [0.30, 0.70], magnitude: 0.76

Step-by-step explanation:

The given parameters are;

The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]

The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall

Therefore;

The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]

The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.

Answer:

The point where all three lines meet is (8, 11)

Step-by-step explanation:

The given functions are;

f(x) = x²⁽ˣ ⁻ ⁵⁾ + 3

g(x) = 2·x - 5

h(x) = 8/x + 10

Equating the simpler functions g(x) to h(x) to find the points of the same value gives;

2·x - 5 = 8/x + 10

2·x - 15 = 8/x

2·x² - 15·x = 8

2·x² - 15·x - 8 = 0

With the aid of an online application, we have;

(2·x + 1)(x - 8) = 0

x = -1/2, or x = 8

The y-values at the point of intersection, is given as follows;

g(x) = 2·x - 5 = 2×(-1/2) - 5 = -6 or g(x) = 2·x - 5 = 2×(8) - 5 = 11

The points where g(x) and h(x) meet are (-1/2, -6) and (8, 11)

To check where the point of intersection of the two functions g(x) ang h(x) meet f(x), we have;

At x = -1/2, f(x) =  [tex]2^{(0.5 - 5)} + 3[/tex] = 3.0442

At x = -1/2, f(x) =  2⁽⁸⁻⁵⁾ + 3 = 8 + 3 = 11

Therefore, the point where all three lines meet = (8, 11).

9514 1404 393

Answer:

  [tex]\textbf{D.}\quad g(x)=\sqrt{x+6}+4[/tex]

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

  g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

__

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

  f(x) = √x

  g(x) = f(x+6) +4

  g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

__

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).

9514 1404 393

Answer:

  7 units

Step-by-step explanation:

The bird is shown at a vertical position of +4. The tire is shown at a vertical position of -3.

The distance between them is the difference between their position coordinates:

  4 -(-3) = 4 +3 = 7 . . . units

Answer

Graph shown below

Step-by-step explanation:

In order to graph something, you need to know the slope and why intercept of the line. One way to do this is to put the equation into slope-intercept form. Slope intercept form is y = mx + b, where m = slope and b = your y-intercept. One way to put the equation -2x = y = 8 into the slope-intercept form is to add the -2x to the other side of the equation. Then you will get y = 8 + 2x. Now, because of the commutative property of addition, you can write the equation as y = 2x + 8. Then graph the equation. Since you know that 8 is a y intercept. You can graph the first point of your line. After, you just use slope (which is 2/1) and graph other points on a graph to get you your line. Hope this helps!

Answer:

8:7

8 to 7

8/7

3 ways yep

your answer os 8 hope it works

Answer:

it means 4 times 1/3x

4x/3

​

9514 1404 393

Answer:

  20x^26

Step-by-step explanation:

The leading term is the one with the highest degree.

In the expansion of (x-2)^15, that will be x^15.

In the expansion of (4-x)^11, that will be (-x)^11 = -x^11.

So, the leading term of the product is ...

  (-20)(x^15)(-x^11) = 20x^26

__

In the attached, terms are listed in order of increasing degree, so the "leading" term appears last.

============================================

Work Shown:

The leading term for (x-2)^15 is x^15

The leading term for (4-x)^11 is -x^11

Multiply the outer value -20 with each of those leading terms to get

-20*x^15*(-x^11)

20x^(15+11)

20x^26

which is the leading term of -20(x - 2)^15 (4-x)^11