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2 years ago

Solve the equation 0.25 (8z - 4) = z + 8 - 2z

2 answers:

4 0

Distribute
2z-1=z+8-2z
add like terms
2z-1=-z+8
add z to both sides
3z-1=8
add 1 to both sides
3z=9
divide both sides by 3
z=3

RSB [31]2 years ago

4 0

First you have to combine the like terms of z and 2z on the left side. Then you must distribute the 0.25 to 8z and -4. So then your equation should look like this:
2z - 1 = 8 - 1z
So now you add 1z to both sides. The 1z on the right cancels out and now you have 3z - 1 = 8
Next you add 1 to both sides and it cancels out on the left: 3z = 9
Then you just divide by 3 on both sides to get the variable by itself. The 3 on the left cancels out and 9 divided by 3 equals 3! So z = 3

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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where

boyakko [2]

Answer:

a) $X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

b) $Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

Step-by-step explanation:

From the question we are told that

The Function

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

Generally the differentiation of function f(x) is mathematically solved as

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

$f(x)=\frac{x^3+x^2+5x+1}{x^2}$

Therefore

$f'(x)=\frac{x^2+10x+3}{x^4}$

Generally critical point is given as

$f'(x)=0$

$\frac{x^2+10x+3}{x^4}=0$

$x=-5 \pm\sqrt{22}$

Generally the maximum and minimum x value for critical point is mathematically solved as

$f'(-5 \pm\sqrt{22})$

Where

Maximum value of x

$f'(-5 +\sqrt{22})$

Minimum value of x

$f'(-5 +\sqrt{22})$

Therefore interval of increase is mathematically given by

$f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})$

$f(x)$

Therefore interval of decrease is mathematically given by

$(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)$

Generally the second differentiation of function f(x) is mathematically solved as

$f''(x)=\frac{2(x^2+15x+6)}{x^5}$

Generally the point of inflection is mathematically solved as

$f''(x)=0$

$x^2+15x+6=0$

Therefore inflection points is given as

$x=\frac{1}{2} (-15 \pm \sqrt{201}$

$f''(x)>0,\frac{1}{2}(-15-\sqrt{201})$

a)Generally the concave upward interval X is mathematically given as

$X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

$f''(x)$

b)Generally the concave downward interval Y is mathematically given as

$Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

5 0

2 years ago

How is solving −5x = −6.5 different from solving − 1 5 x = −6.5? How are the solutions related? Complete the explanation.

Alexxandr [17]

Answer:

Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

A bucket full of milk is 80cl,how many litres are in 15 of such

PIT_PIT [208]

Answer:

1.2 liters

Step-by-step explanation:

1 bucket has a volume of 80 cL.

15 buckets have a volume of 15 * 80 cL = 120 cL

1 L = 100 cL

120 cL * (1 L)/(100 cL) = 1.2 L

5 0

3 years ago

I’m confused can someone explain?

Novay_Z [31]

Answer:

It is 150 percent

Step-by-step explanation:

You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so:

1 1/2 in percent = (1 + 1/2) × 100% =

(1 + 0.5) × 100% = 1.5 × 100% = 150%

Hope this helps! Sorry if I'm wrong.

3 0

2 years ago

Read 2 more answers

6 4/5+5 3/10 adding and subtracting mixed number

lawyer [7]

Too add mixed numbers, first convert them to improper fractions:

34/5 + 53/10

Next, find a common denominator, which in this case is 10.

Convert 34/5 so that it has a denominator of 10 by multiplying the ENTIRE fraction by 2: 68/10

68/10 + 53/10 = 121/10

You can either give your answer in the form of an improper fraction: 121/10, or a mixed number 12 1/10

4 0

2 years ago