All categories

3 years ago

How to slice using substitution method

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Answer:

x=3, y=8; (3,8)

Step-by-step explanation:

To use the substitution method, first solve for a variable.

2x+y=14

2x+y(-2x)=14(-2x)

y=14-2x

Now substitute y in the other equation with 14-2x

5x-2(14-2x)= - 1

Simplify by multiplying inside the parenthesis.

5x-28+4x= - 1

Combine the x values

9x-28= - 1

9x=27

x=3

Now substitute the x value in to solve for y

2(3)+y=14

6+y=14

y=8

You might be interested in

Which equation is modeled by the graph? Using the equation, about how many more cars are in the deck at 9:00 a.m. than at 8:30 a

omeli [17]

The correct answer is Choice A.

You can see from the graph that the y-intercept is 50 because it cross on the left at 50.

To find the slope, we can use the following two points (0, 50) and (20, 110). This will give a slope of 3.

Put the 50 and 3 together and you will have the equation:
y = 3x + 50

6 0

3 years ago

Read 2 more answers

Whoever answers the question right will receive brainliest.

ch4aika [34]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Christy purchased an art easel at a garage sale for $30. She later sold the easel on Craigslist for $45. What was the percent in

Zielflug [23.3K]

The percent increase by 15%

4 0

2 years ago

Read 2 more answers

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago

Charlotte works at an electronics store as a salesperson. Charlotte earns a 10% commission on the total dollar amount of all pho

Ymorist [56]

Answer:

I think it's 0.648

Step-by-step explanation:

10% of 4% of 162 = 0.648

5 0

2 years ago