MATHEMATICS HIGH SCHOOL

Which of the following is a composite number? 61 , 13 , 63 , 31

Answers

Answer 1
Answer: It's 63, all the others are prime numbers.

Related Questions

MIDDLE SCHOOL

10) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?

Answers

Answer:

6 pounds of granola, 2 pounds of cranberries.

Step-by-step explanation:

3g + 5.5c = 29

g + c = 8

g = 8 - c

3 * (8 - c) + 5.5c = 29

24 - 3c + 5.5c = 29

2.5c = 5

c = 2

g = 8 - c

g = 8 - 2

g = 6

MIDDLE SCHOOL

Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.

Answers

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

Answer:

c edge

Step-by-step explanation:

COLLEGE

Solve the equation 4x squared =121

A 2.75,-2.75
B 5.5,-5.5
C 11,-11
D 30.25,-30.25

Answers

Answer:B

Step-by-step explanation:

4x2 =121

4x2-121=0

using the general formula

[-b( +/-) √b2-4ac]/2a

a=4, b= 0, c=-121

x= [0 ( +/-)√02-(4*4*-121)]/2.4

= ( +/-)√1936)/8 = ( +/-)5.5

x =5.5

x = -5.5

COLLEGE

The primary goal of using correlational research is to

Answers

The Primary goal of using correlation research is to determine the nature and strength of the association between two measured variables.
Here you must know the terms correlation and variable. The term Correlation is simply defined as the relation between two variables. variables are factors that are liable to vary or change.
Random Questions