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schepotkina [342]
3 years ago
10

Solutions of the equation: z2 - 12z + 36 = 0?

Mathematics
1 answer:
jasenka [17]3 years ago
7 0
36 becomes a negative 

First -36 + -1 -37
Next: -18 + -2 = -20 
Next: -12 + -3 = -15
Next: -9 + -4 which equals -13
Finally we get to the last part: -6 + -6 = -12

We change z2 to z^{2}

z^{2} - 6(z) = 36 

z(z) - 6

Because, we add up for the first two terms

Switch up, up the problem 6(z) - 6

Now, let's add the number 4 on the terms 
z - 6 (z - 6) 

Then, let's multiply z - 6 from z - 6 

z - 6^{2} = ? 


From this problem we have to add 6 from the sides that we are working with 

Therefore, your answer for z is 6 
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An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams.  The equation  re
just olya [345]

Answer:

<u>Equation:</u>

<u>250 + 132.5y = x</u>

<u>Solution for solving for x:</u>

<u>x = 250 + 132.5y</u>

<u>Solution for solving for y:</u>

<u>y = (x - 250)/132.5</u>

<u>In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:</u>

<u>1. Adding the same number to both sides</u>

<u>2. Subtracting the same number from both sides </u>

<u>3. Multiplying both sides by the same number </u>

<u>4. Dividing both sides by the same number</u>

Completing the question and statement correctly:

The equation  represents the relationship between the quantities in this situation, where x is the weight, in grams, of the filled box and y the number of shirts in the box.

Step-by-step explanation:

1. Let's review all the information provided to us to answer the question correctly:

Weight of an empty box = 250 grams

Weight of each T-shirt = 132.5 grams

2. Name two possible solutions to the equation that represent the relationship between the quantities in this situation, where x  is the weight, in grams, of the filled box and y the number of shirts in the box. What do the solutions mean in this situation?

x = weight, in grams, of the filled box

y = number of shirts in the box

Equation:

250 + 132.5y = x

Solution for solving for x:

x = 250 + 132.5y

Solution for solving for y:

y = (x - 250)/132.5

In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:

1. Adding the same number to both sides

2. Subtracting the same number from both sides

3. Multiplying both sides by the same number

4. Dividing both sides by the same number

3 0
3 years ago
Find the exact length of the third side
devlian [24]
You can use the Pythagorean theorem, a^2+b^2=c^2, to solve this.

b= square-root of (c^2)-(a^2)

b= square-root of (9^2)-(2^2)

b= 8.77.... which in the exact form is square root of 77.
5 0
3 years ago
Determine if the equation is linear. If so, graph the function.
musickatia [10]

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

5 0
3 years ago
cesar left the college traveling 12 mph. Then, 4 hours later, Gabriel left traveling the same direction at 24 mph. How long will
Sloan [31]

Answer:

Step-by-step explanation:

Given that cesar left the college traveling 12 mph. Then, 4 hours later, Gabriel left traveling the same direction at 24 mph.

Before Gabriel started Cesar would have travelled for 4 hours

So distance travelled by Cesar in 4 hours =4(12) =48 miles

Thus Cesar is ahead of Gabriel by 48 miles

Difference of speed =(24-12) =12 mph

So to catch Cesar time required = 48/difference in speed

= 4 hours

It will take 4 hours.

8 0
3 years ago
I’m trying to figure out What equals 6 x 9?
Assoli18 [71]

Answer:

54

Step-by-step explanation:

6x9=54

6 0
2 years ago
Read 2 more answers
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