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2 years ago

What is the result of subtracting the second equation from the first?

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

Answer:

5x = 11.

Step-by-step explanation:

-4x - 2y = -2

x - 2y = 9

Subtracting:

-4x - x - 2y - (-2y) = -2 - 9

-5x - 2y + 2y = -11

-5x = -11

5x = 11.

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What is the difference between intersecting and perpendicular lines? Can two lines exist that are not intersecting or parallel?

sertanlavr [38]

Intersecting lines are lines that meet at some point while perpendicular lines are intersecting lines that makes a right angle at the point of intersection.

Two line can either be intersecting or perpendicular. It is not possible to have two line that is neither intersecting or parallel.

7 0

2 years ago

Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: $y = 3 \cos(10 (x -\pi))$

We can assume the parent function to be:

$y = \cos (x)$

The new function can be represented as:

$y = A*\cos((\frac{2\pi}{B})(x-c))$

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

$y = A*\cos((\frac{2\pi}{B})(x-c))$ to $y = 3 \cos(10 (x -\pi))$

$A = 3$

$c = \pi$

$\frac{2\pi}{B} = 10$

Solve for B

$B = \frac{2\pi}{10}$

$B = \frac{\pi}{5}$

Using the calculated values of $A,\ B\ and\ c.$ This implies that, the following transformations occur on the parent function:

Vertically stretched by $3$
Horizontally compressed by $\frac{\pi}{5}$
Right shifted by $\pi$

5 0

2 years ago

Read 2 more answers

It costs a baker 2x + 30 dollars to bake x muffins a day. Each muffin is sold for 5 dollars. How many muffins would the baker ne

Svetradugi [14.3K]

Answer:

X = 10

Step-by-step explanation:

The equation to use would be; 2x + 30 = 5x; because the baker is looking for enough to cover the costs, no more no less.

Then all you have to do is solve for the equation.

2x + 30 = 5x

Subtract 2x from each side

30 = 3x

Divide by 3

10 = x

The baker needs to sell 10 muffins in a day to make enough to cover the revenue.

8 0

2 years ago

Read 2 more answers

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y repr

tensa zangetsu [6.8K]

Answer:

tycho hits kibitz book johhckl

6 0

2 years ago

A person borrowef Rs 16000 from a bank at 12.5% pet annum simple intrest and lent the whole amount to shopkeeper at the sam rate

r-ruslan [8.4K]

Answer:

The amount he gains in 2 years is Rs. 250

Step-by-step explanation:

The parameters of the amount borrowed from the bank are;

The amount borrowed, P = Rs. 16,000

The interest rate of the amount borrowed, R = 12.5%

The number of years, T = 2 years

The simple interest, I = (P × R × T)/100 = (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000

The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000

The parameters of the amount lent to the shopkeeper are;

The amount lent, P = Rs. 16,000

The compound interest rate of the amount lent, R = 12.5%

The number of years, T = 2 years

The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250

The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250

The amount he gains in 2 years = Rs. 250.

8 0

2 years ago