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IrinaVladis [17]
3 years ago
14

12z−6+15z=27z−5 how many solutions

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0
3 is the answer

I did the test
Crazy boy [7]3 years ago
7 0

Answer:

no solutions

Step-by-step explanation:

if you simplify the left side you will get 27z - 6 and the other side is 27z - 5

no value for 'z' will ever get these two expressions to equal each other because 6≠5

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alisha [4.7K]

Answer:

y < 1

Step-by-step explanation:

graphing with inequality

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What property justifies the second step for this equation?
Ipatiy [6.2K]
It would be the distributive property. :)

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3 years ago
Twenty-one students took a mathematics test. The 11th highest score on the test was a 76. Which of the
Tcecarenko [31]

Answer:

C. The median of the test scores was 76

Step-by-step explanation:

The median is the middle value. In 21 values, the 11th value is the middle value, so it must be the median.

Answer: C. The median of the test scores was 76

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Given the function f(x)=3x+5a / x^2-a^2 find the value of a for which f'(12) = 0
maria [59]
The function, as presented here, is ambiguous in terms of what's being deivded by what.  For the sake of example, I will assume that you meant

           3x+5a
<span> f(x)= ------------
</span>          x^2-a^2

You are saying that the derivative of this function is 0 when x=12.  Let's differentiate f(x) with respect to x and then let x = 12:

             (x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
                [x^2-a^2]^2

(144-a^2)(3) - (36+5a)(24)
------------------------------------  =  0
               [   ]^2

Simplifying,

(144-a^2) - 8(36+5a) = 0

144 - a^2 - 288 - 40a = 0

This can be rewritten as a quadratic in standard form:

-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.

Solve for a by completing the square:

a^2 + 40a + 20^2 - 20^2 + 144 = 0
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        Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)

         Finally, a = -20 plus or minus 2sqrt(39)

You must check both answers by subst. into the original equation.  Only if the result(s) is(are) true is your solution (value of a) correct.
6 0
3 years ago
Write a number less than 69?
tangare [24]

Answer:

68

Step-by-step explanation:

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