Plot the point (3, - 2 .

Answer:

B

Step-by-step explanation:

If a=2, then a+5 is still less than 8. This counter example proves that b is not less than 5, but is less than 6.

The counterexample of the given statement is;

⇒ b = 5

Option B is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

The conditions is given as;

If a + b < 8 and a = 2, then b < 5.

Now,

Let b = 5

Then, a + b = 2 + 5 = 7, is less than 8.

But b= 5 is not less than 5.

So, The counterexample of the given statement is;

⇒ b = 5

Option B is true.

Learn more about the function visit:

https://brainly.com/question/3831584

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Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:

P = 2(l + w) = 2(12 + 10) = 44.

44 feet will be needed to go all the way around the room.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

  144

Step-by-step explanation:

For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.

1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s

2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s

Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.

3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s

Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.

__

If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...

  [tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]

For n=1 to n=10, these pairs are ...

  (1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)

The sequence of b[n] values is ...

  2, 3, 5, 8, 13, 21, 34, 55, 89, 144

which are the n=3 to n=12 numbers from the Fibonacci sequence.

That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.

Answer:

A function is defined as an operation on a number, which gives only one output for every input

while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function

Now, lets look at the graph

for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5

Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output

Answer:

........................................

Answer:

1/3 x 10 = 10/3, 10/3 = 3 1/3

Step-by-step explanation:

For 10 people he only would need 3 cups and 1/3 so he does have enough

Lets have the younger person be x.
The older person will be 8x + 3.

The sum of their ages is 21, so we can get this equation:

x + (8x+3) = 21

9x+3 = 21
Subtract 3 from both sides
9x = 21

x=3 --> The younger person is 3 years old, and now we can substitute that for the older person (8x+3):

(3 * 8) + 3 = 27

The younger person is 3 years old, and the older person is 27.

Answer:

20

Step-by-step explanation:

The input (X) is 10. The output (Y) is 2X Which means 2 times X. So your answer is 2 × 10 which is 20.

Answer:

The y intercept is 92, this is because:

In slope intercept equations, it is formatted like:

y = mx + b

where y is the dependent variable and x is the independent variable

m is the slope

and b is the y - intercept

In terms of this situation, 92 means I think probably the start of their latest grades.

Answer:

x = 10, y = 20

Step-by-step explanation:

7x + 20 + 90 = 180 (adj angle on st line)

therefore x = 10

5x + 2y = 90 (vertically opposite angle)

2y = 40

y = 20

Answer:

A. -1

Step-by-step explanation:

hope this helps

its i

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Answer:

[tex]\displaystyle h= \frac{2A}{a+b}[/tex]

Step-by-step explanation:

The given formula is:

[tex]\displaystyle A=\frac{h}{2}(a+b)[/tex]

We need to solve the formula for h.

Multiply by 2:

[tex]2A=h(a+b)[/tex]

Divide by (a+b)

[tex]\displaystyle \frac{2A}{a+b}=h[/tex]

The required solution is:

[tex]\displaystyle h= \frac{2A}{a+b}[/tex]

Answer: 8109/77 in decimal form 105.31169

Step-by-step explanation: simplify 153/4

189 811  212  153

 ((———+———)+———)+———

   11  14   11   14

212

Simplify   ———

           11

Find the Least Common Multiple

     The left denominator is :       11  

     The right denominator is :       14  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

11 1 0 1

2 0 1 1

7 0 1 1

Product of all  

Prime Factors  11 14 154

Least Common Multiple:

     154

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 14

  Right_M = L.C.M / R_Deno = 11

Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      14535

  ——————————————————  =   —————

        L.C.M              154  

  R. Mult. • R. Num.      153 • 11

  ——————————————————  =   ————————

        L.C.M               154    

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

14535 + 153 • 11     8109

————————————————  =  ————

      154             77

8109              

 ———— = 105.31169  

  77            

Answer:

5

Step-by-step explanation:

Answer:

2/5?

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

1/5 = 2/10

6/10 - 2/10 = 4/10

(if simplifyed your answer would be 2/5)

Answer:

c

Step-by-step explanation:

Exponent division rule: If base are same for any two variables, then subtract the powers.

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\dfrac{f^{6}h^{9}}{f^{3}h^{7}}=f^{6-3}h^{9-7}\\\\\\ =f^{3}h^{2}[/tex]

Answer:

Yes. The are equivalent to each other

Step-by-step explanation:

21 : 35

The LCM of these two numbers is 7

When we divide both of them by 7, we're left with 3:5

24 : 40

The LCM of these two numbers is 8

When we divide both numbers by 8, we're left with 3:5

And, 3:5 = 3:5, so we can say 21:35 = 24:40

PS: Also, if we multiply 21 : 35 by 8 and 24 : 40 by 7, we get the same result, i.e 168 : 280 which also proves that they are equivalent.

Answer:

(5-7)^2 because g(x) is the value of h(x) squared

x-7, s = 5

5-7)^2

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

basically, set it up like:

465 = 6.2 ·5·x

then, just solve for x

465 = 31x

x=15

I only answered cause of the killua pfp.

love it btw.

To find the degree of this function, you would look at the first term of the function, which is 3. So, the degree of this function would be 3.

Answer:

Step-by-step explanation:

Here we have relation between gallons of gas and the distance

The range depends on the domain which is limited up to 12 gallons

The range is:

Data set:

Answer:

It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.

Step-by-step explanation:

Answer:

straight angle and right angle virtually opposite angle

Answer:

Ray AC.

Step-by-step explanation:

They are the same; if you look at the figure, you can see that A and C are the same distance from each other and a ray in either direction would be equivalent to its counterpart.

Answer:

AC

Step-by-step explanation:

[tex] \frac{3x {}^{2} }{5x {}^{2} } = \frac{3}{5} [/tex]

Answer:A

Step-by-step explanation:

I just did this one and that was correct