Solve this system of equations by using an algebraic method. Identify your solutions as an orderEquation:
x + y + z = 6
2x + 4y - z = 7
2x - 4y + 2z = 0

Answers

Answer 1

Answer:

Final answer:

To solve the system of equations, we can use the substitution method. The solution to the system of equations is x = 1, y = 2, and z = 3.

Explanation:

To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use substitution method:

From the first equation, we can solve for x to get x = 6 - y - z.
Substitute the value of x in the other two equations.
After substituting, solve the resulting two equations to find the values of y and z.
Once y and z are found, substitute them back into the first equation to find the value of x.

The solution to the system of equations is x = 1, y = 2, and z = 3.

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Complete the statement: Cosine is the reciprocal of the ___________ ratio.

Answers

Cosine is the reciprocal of the Secant ratio.

marsha wants to determine the vertex of the quadratic function f(x) = x2 – x 2. what is the function’s vertex? (1, 1) (1, 3) (1/2,3/2 (1/2,7/4)

Answers

f(x) = x^2 - x + 2
f(x) = x^2 - x + 1/4 + 2 - 1/4
f(x) = (x - 1/2)^2 + 7/4
Therefore, vertex = (1/2, 7/4)

So A would be your answer

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

Answers

I believe the answer is y = -5/2x + 6

Answer:

y = -5/2x + 5

Step-by-step explanation:

i did the test

Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.

Answers

Let's pretend it is the √5. We know √4 is 2 and √9 is 3. So, we know it is between 2 and 3. 5 is closer to 4 so we know it is less than 2.5. You keep using tis method until you find an answer.

Answer:

Sample Response: Approximate between two whole numbers by finding the perfect squares nearest to the target number. Identify which value the non-perfect square root is closest to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Answers

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

I used 9 sheets of toilet paper each day for 7 days. The roll had 96 sheets when it was new.How many sheets of toilet paper have not been used?

Answers

33. This is a multi step problem. 6 x 9 = 63. 96 - 63 = 33.

Final answer:

You have used 63 sheets of toilet paper in 7 days (9 sheets per day). By subtracting that from the initial 96 sheets, you find that there are 33 sheets of toilet paper left unused.

Explanation:

To solve this question, first determine how many sheets of toilet paper were used in total over the 7 days. As you mentioned, you used 9 sheets per day for 7 days. So, multiply 9 sheets by 7 days to get a result of 63 sheets used in total. Subtraction is then needed to find out how many sheets were left unused on the roll. You start with 96 sheets on the roll. If you subtract the 63 sheets that were used, the result is 33. So, 33 sheets of toilet paper have not been used.