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never [62]
2 years ago
11

Evaluate the expression for x = 3, y = 1/3 , and z = 5. 12x − 3y / 4x − z

Mathematics
2 answers:
bixtya [17]2 years ago
8 0

Answer:

30.25 in decimal form

30 1/4 in fraction form

Step-by-step explanation:

12(3) − 3(1/3) / 4(3)− (5)  = 30.25 or 30 1/4  

Lelu [443]2 years ago
5 0

30:25 in decimal form
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Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
3 years ago
A group of hikers walked 8 and 7/10 miles. And then 5 and 1/5 miles. How far did they walk altogether?
Anton [14]
13 and 9/10 miles altogether
5 0
3 years ago
Solve the equation 4n2 − 16n − 84 = 0 by completing the square.
melomori [17]

4n² - 16n - 84 = 0

Multiply both sides by 1/4 :

n² - 4n - 21 = 0

Add 21 to both sides:

n² - 4n = 21

Complete the square by adding 4 to both sides:

n² - 4n + 4 = 25

(n - 2)² = 25

Solve for n :

n - 2 = ± √25

n - 2 = ± 5

n = 2 ± 5

Then n = 2 + 5 = 7 or n = 2 - 5 = -3.

8 0
2 years ago
1(3√2)2=2n what is n? this might be hard to do but I need help asap!! ty
Vladimir [108]

Answer:

n=3\sqrt{2}

Step-by-step explanation:

2n=1\times \left(3\sqrt{2}\right)\times \:2

2n=2 \times 3\sqrt{2}

2n=6\sqrt{2}

\frac{2n}{2}=\frac{6\sqrt{2}}{2}

n=3\sqrt{2}

4 0
3 years ago
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Max got another paycheck for $476.15 on April 20th.
Rufina [12.5K]

Answer:

$182.60

Step-by-step explanation:

4 0
3 years ago
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