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trapecia [35]
3 years ago
12

Evaluate 6+ the sq root of 14+x minus - the sq root of 9x when x=2

Mathematics
1 answer:
romanna [79]3 years ago
7 0
Hello 
let : f(x) = 6 + √(14+x) - <span>√(9x)
f(2) = </span>6 + √(14+2) - √(9×2)
f(2) = 6 + √(16)-√(18) 
f(2) = 6 + 4 - √(18)  = 10 - √(18) 
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Please help! Correct answer only!
goldfiish [28.3K]

Answer:

$15

Step-by-step explanation:

Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!

7 0
3 years ago
Determine the next step for solving the quadratic equation by completing the square
GaryK [48]

Answer:

  • The two solutions are:           x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}

  • The next and every step are below.

Explanation:

1. -3=-2x^2+2x    : Given (addition property / add - 3 to both sides)

2. -3 = - 2(x^2-x)    : Given (commom factor - 2)

3. -3-1/2=-2(x^2-x+1/4)

    To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

-7/2=-2(x-1/2)^2

5. Divide both sides by - 2 to get the next expression:

-7/4=(x-1/2)^2

6. The last step is to extract squere root from both sides of the equality:

(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}

8 0
3 years ago
Which of the following is(are) the solution(s) to %+3)=12?
MAVERICK [17]

Answer:

if by % this sign you mean x then

x=9

Step-by-step explanation:

x+3=12

x=12-3

x=9

6 0
3 years ago
I really need help with 1 and 2 please help me I begg you
Lera25 [3.4K]
1.) So 1/5 of a relay, or r, is 3/4 of a mile.
1/5r = 3/4
Multiply 5 on both sides of the equation.

r = 15/4

The relay was 15/4 of a mile or 3 3/4 of a mile.

2.) No, it is not because the sum of the digits are not divisible by 3.

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
What is the answer 27.9+212.5
frutty [35]
27.9+212.5= 240.4
Hope I helped!
3 0
3 years ago
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