Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

Answer:

Fibonacci sequence is one of the most known formulas in number theory. In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1.

Any Fibonacci number can be calculated by using this formula,

xn =  (φn − (1−φ)n)/√5

xn denotes Fibonacci number to be calculated

φ is Golden ratio = 1.618034

the condition given in the question and applying the Fibonacci formula:

By the use of the Fibonacci number formula, we can calculate the rest of the Fibonacci numbers like 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.

Therefore, the 8th term will be 21.

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Answer:

D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)

Tip:

To move a point down by two units, subtract the y in (x, y) by 2.

Answer:

Month        Total Bill

1                  1000

2                  1,020

3                  1,040.40

4                  1,061.21

5                  1,082.43

6                  1,104.08

7                  1,126.16

8                  1,148.69

Step-by-step explanation:

Use the formula for compound interest

[tex]A = P(1+r)^t[/tex]

where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods

Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months

So 1 + r = 1+0.02 = 1.02

We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02

All figures rounded to the nearest cent

Answer

Month        Total Bill

1                  1000

2                  1,000 x 1.02 = 1,020

3                 1,020 x 1.02 = 1,040.40

4                 1,040.40  x 1.02 = 1,061.21

5                  1,061.21  x 1.02 = 1,082.43

6                  1,082.43 x 1.02 = 1,104.08

7                  1,104.08 x  1.02 = 1,126.16

8                   1,126.16 x 1.02 = 1,148.69

Answer:

A: true

I'm positive

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Fractions Context: How do they work?  -

- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.

- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.

(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)

- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.

________________________________________________________
How can we muiltiply fractions?

Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.

Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]

Think we're done here? Haha, not in the least!

Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.

6/20 can be divided by 2 on both the numerator and the denominator.

3/10 would be the FINAL ANSWER!
________________________________________________________
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Hope this helps you understand, do not hesitate to reach out to me if you still don't understand!

Have a WONDERFUL day! (:

The key points of difference between data and information are -

"Facts and figures" are the simplest definition of the word "data." Each piece of information is a little fact that, by itself, doesn't mean anything. Data can refer to a single fact or a group of related facts. Its root, datum, is a Latin term that means "something provided."

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Answer:

8, 8, and 8 make up 24.

Answer:43.8

Step-by-step explanation:

add up all of the numbers then divide the number by the number of numbers u had in the beginning. Hope this helps! Let me know if you need more explaining !

Answer:

1,56

Step-by-step explanation:

8/9minus-2/3

=8/9+2/3

(- multiply by - = +)

=24+18/27

=41/27

=1,5

The probability of six appearing is C. 1/16.

It should be noted that probability simply has to do with the chance that something will happen.

In this case, the die has 16 faces

Therefore, the probability of six appearing will be:

= Number of six / Total number

= 1/16

Therefore, the probability of six appearing will be 1/16.

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Answer: y=-2x+7

Step-by-step explanation:

                                   The equation of a line

                                       [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

(8,-9)    (-4,15)

x₁=8     x₂=-4     y₁=-9     y₂=15

[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]

Let's multiply both parts of the equation by 24:

[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]

After solution of the given equation  8y-2+6x the answer is 2(4y - 1 + 3x).

So, 8y-2+6x:

Factor out common term 2:

Therefore, equation 8y-2+6x is 2(4y - 1 + 3x).

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An equation of the tangent line to curve [y = e⁶ˣ cos x] at the given point  (0, 1) is y = x + 6.

At a given point, the tangent line of a curve is a line that really just contacts the curve (function). In calculus, the tangent line may connect the curve at any other point(s), and it may also cross the graph at any other point(s).

Now, as per the given question;

Because of this, point (0,1) is a tangent point;

y = f((0) = e⁰cos0 = 1.

We differentiate to get the slope of the tangent line m. Tangent line equation:

y' = 6e⁶ˣcosx - e⁶ˣ sinx;

Thus, the slope of the curve becomes;

m = f'(0) = 6.

Substituting the values of slope and coordinates (0, 1).

y = 6 + 1(x - 0),

Simplifying the equation.

y = x + 6

Thus, the equation of the tangent line to the given curve is y = x + 6.

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Answer:

Step-by-step explanation:

(14.75x10)+(3.5x5)+15.50= 180.5

14.75= trampoline per hour

10= the friends 2x hours

3.5= socks

5= the number of friends

15.50= the super pizza deal

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

Answer:

Part A: Run=4 Rise= 8

Part B: Run=1 Rise=2

Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)

Note: Answer may be a number off. Couldnt see picture well

Answer:

none

Step-by-step explanation:

kindly check your equations as well as the options, there is an error in them!!

The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.

In the question, we are given that the scale of a map is 1 in.: 15 mi.

We are asked to find the actual distance corresponding to the map distance, given the map distance is 4.5 in.

The scale given to us is 1 in. : 15 mi.

This means that 1 inch on the map represents 15 mi. in the actual case.

Thus, the actual distance corresponding to the map distance of 4.5 in. is 15 * 4.5 mi. = 67.5 mi.

Thus, The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.

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The inequalities for the triangle are as follows:

The value of x that makes sense in the triangle  is 7.

The triangular inequality theorem theory states that the sum of the length of any two side of a triangle is greater than the length of the third side.

Therefore,

a + b > c

a + c > b

b + c > a

Therefore, the three inequalities for the triangle is as follows:

The value of x that makes sense is 7.

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The equation that is perpendicular to the line that is drawn by Leo will be C. y - G = -1/2(x - F)

Based on the information given, it should be noted that the slope of the line from the graph will be:

m = y intercept/ x intercept

= 2

The like is also passing through the coordinates (F, G).

Therefore, the appropriate equation will be y - G = -1/2(x - F).

In conclusion, the correct option is C.

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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?

A) y - F = -2(x - G)y

B) y + F = 2(x + G)

C) y - G = -1/2(x - F)

D) y - G = -1/2(x + F)

Answer:

y = x + 5

Step-by-step explanation:

m = 1, x = -2, y = 3

y = mx + b

3 = 1(-2) + b

3 = -2 + b

b = 3 + 2 = 5

therefore

y = x + 5

Answer:

120+2.51=122.51cm

The equation of the perpendicular bisector of the segment with the endpoints located at D(-2  ,-4) and E(2 , 1) is y = -4/5x - 3/2.

A perpendicular bisector of a segment is a line that divides the segment into two equal parts forming right angles at the point of intersection.

To get the perpendicular bisector of a segment, get the point of intersection of the two lines which is the midpoint of the segment.

midpoint (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

midpoint (x , y) = [(-2 + 2)/2 , (-4 + 1)/2]

midpoint (x , y) = (0 , -3/2)

Get the slope of the perpendicular bisector of a segment by taking the negative reciprocal of the slope of the segment.

slope of segment = (y2 - y1)/(x2 - x1)

slope of segment = (1 - -4)/(2 - -2)

slope of segment = 5/4

slope of the perpendicular bisector = -4/5

Solving for the y-intercept, b, plug in the point (0 , -3/2) and the slope -4/5 to the slope-intercept form of the equation, y = mx + b.

y = mx + b

-3/2 = -4/5(0) + b

b = -3/2

Setting up the equation in slope-intercept form, where m = -4/5 and b = -3/2.

y = mx + b

y = -4/5x - 3/2

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Answer:

[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]

Step-by-step explanation:

That is your answer

Answer:

I would choose blue, assuming that there are even chances between red and blue winning.

Hope this helps.

Answer:

Exact form 2/11

Decimal form 0.18