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Sophie [7]
3 years ago
12

Adam writes 18y to simplify an expression with three like terms. What could the expression be?

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

Step-by-step explanation:

5y + 6y + 7y = 18y......any numbers that add(or subtract) to equal 18, stick them before the y....

or it could be : 10y + 10y - 2y = 18y or 5y + 10y + 3y or 30y - 20y + 8y....I could go on forever...lol

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Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

f(x)=\frac{(x-1)(x^2-4)}{x^2-a}

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

so, the value x=\sqrt{a} = \sqrt{1} = 1 won't annulate the denominator.

Now, for a = 4 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1

so, the value x=\sqrt{a} = \sqrt{4} = 2 won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0
3 years ago
The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post offi
IrinaK [193]

Answer:

Area = 6.5p

Step-by-step explanation:

Given

Area\ of\ Old = p

Area\ of\ New = 6.5 * Area\ of\ Old

Required

Write an expression for the area of new post office

From the question, we have the following:

Area\ of\ Old = p

and

Area\ of\ New = 6.5 * Area\ of\ Old

Substitute p for Area of Old in the second equation

Area\ of\ New = 6.5 * p

Area\ of\ New = 6.5 p

Hence, the expression is:

Area = 6.5p

5 0
2 years ago
What is 14/49 as a decimal
victus00 [196]
.285714286 All you have to do is divide them
4 0
2 years ago
Read 2 more answers
Use the quadratic formula to determine the exact solutions to the equation.
kozerog [31]
Answer:  " x = 1  + √5 " or " x = 1 − √5" .
______________________________________________________
Given:
______________________________________________________

   " x² − 2x − <span>4 = 0 " ;
______________________________________________

Solve for "x" by using the "quadratic formula" :

</span>Note:  This equation is already written in "quadratic format" ; that is:

  " ax² + bx + c = 0 " ;  { "a \neq 0" } ;

in which:   "a = 1" {the implied coefficient of "1" ;
                         since "1", multiplied by any value, equals that same value};

                 "b = -2 " ;

                 "c = -4 " ;
_______________________________________________________
The quadratic equation formula:

x = { - b ± √(b² − 4 ac) } / 2a ;   {"a\neq0"} ;
______________________________________________________
Substitute our known values:
______________________________________________________

   →  x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ; 

       →  x  = { 2 ± √(4 − 4(-4) } / 2 ; 

       →  x  = { 2 ± √(4 − (-16) } / 2 ;

       →  x  = { 2 ± √(4 + 16) } / 2 ;

       →  x  = { 2 ± √(20) } / 2 ;

       →  x  = { 2 ± √4 √5} / 2 ;

       →  x  = { 2 ± 2√5} / 2 ;

       →  x = 1 ± √5 ; 

_______________________________________________________
→  "x = 1 + √5"  or  "x = 1 − √5" .
_______________________________________________________
8 0
3 years ago
Wages, income tax, and money management
nexus9112 [7]

Answer:

the answer is a

Step-by-step explanation:

the reason its a is because it just it

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