Ask question

Ask question

All categories

3 years ago

11

Consider the following system of equations.

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.

Step-by-step explanation:

2x-y=12

-3x-5y=-5

multiply the first equation by -5

-10x +5y = -60

add the 2 equations together

-3x-5y=-5

-10x +5y = -60

-------------------------

-13x = -65

We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation

You might be interested in

In the function y=3x+2, what is the value of y when x=-1/2?

Lena [83]

Answer:

y=3. (-1)-1

y= -3-1

y= -4

Step-by-step explanation:

8 0

2 years ago

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

3 0

2 years ago

DUE TODAY ANSWER ASAP WILL MARK BRAINLIEST

Vilka [71]

Answer:

66

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write the quadratic equation in standard form: x^2+x=-4x^2+16

Rainbow [258]

Answer

-3 $x^{2}$ + $x$ +16=0

Step-by-step explanation:

4 0

2 years ago

Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Mic

erastovalidia [21]

B. 2 2/9 hours.

in 2 hours the will already have made 96 cupcakes so the only logical answer is B

3 0

2 years ago