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kow [346]
2 years ago
15

| f − 6 | = | f + 8 |

Mathematics
1 answer:
ikadub [295]2 years ago
8 0

Answer:

f = - 1

Step-by-step explanation:

f - 6 = f + 8

f - 6 = - (f + 8)

f ∈ ∅

f - 6 = - (f + 8)

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At 1 p.m., the number of cars in a parking lot is 78. Given the formula found in the first part of the question, An=78⋅1.09n, es
Harrizon [31]

Answer:

At 6 p.m., the number of cars in a parking lot is 120

Step-by-step explanation:

At 1 p.m., the number of cars in a parking lot is 78.

Given,

A_n=78\cdot 1.09^n

Note that

A_0=78\cdot 1.09^0=78\cdot 1=78

So, 1 p.m. goes for n = 0, then

6 p.m. goes for n = 5

Thus,

A_5=78\cdot 1.09^5\approx 120

4 0
3 years ago
A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s
luda_lava [24]

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

7 0
3 years ago
How do i solve for x if 6x - 6 - 7x =6
Dmitry_Shevchenko [17]

Answer:

X = 12

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -x - 12  =   -1 • (x + 12)

Equation at the end of step  1  :

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    -x-12 = 0

Add  12  to both sides of the equation :

                     -x = 12

Please said thanks

7 0
3 years ago
Read 2 more answers
The roots of a quadratic equation ax2+bx+c=0 are 1+i 5 and 1−i 5 . Find possible values of a, b and c.
Anarel [89]

Answer:

Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots.  They are (x - 1 + 5i) and (x - 1 - 5i).  Now what you do with those is FOIL them out.  Doing that gives you the following:

x^2-x+5ix-x+1-5i-5ix+5i-25i^2 (what a mess, huh?)

The good thing is that several of those terms cancel each other out.  +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x.  That leaves you with:

x^2-2x-25i^2

Obviously you're in the section in math that deals with complex (imaginary) numbers so you should know that i-squared is equal to -1.  Making that replacement:

x^2-2x+25

a = 1, b = -2, c = 25

6 0
3 years ago
Read 2 more answers
Least common multiple for 16 and 24
Yuri [45]
You can multiply 16<span> by 3 (the only prime factor of </span>24<span> not shared by </span>16), to find the LCM<span>: 3 * </span>16<span> = 48</span>
-- So 48 is the answer
5 0
3 years ago
Read 2 more answers
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