Simplify 6 - 3/4 - 3x) 0-3X-6 9x + 18 Ox-6

When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A a

Aliun [14]

Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation f(x) = 0 .

When the graphs of y = f(x) and y = g(x) intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1. First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).

We calculate the point of intersection by solving the equation f(x) = g(x). That is:

2x − 1 = x + 1

2x − x = 1 + 1

x = 2

The y coordinate can now be found by calculating f(2):

f(2) = 2×2 − 1 = 3

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.

Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.

Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators

4 0

2 years ago

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Find each percent increase round to the nearest percent from $5 to $8

asambeis [7]

First subtract the two numbers:

8 - 5 = 3

Now divide this to the original:

3 / 5 = 0.6

Multiply by 100:

0.6 * 100 = 60%

7 0

3 years ago

Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove

slavikrds [6]

Answer:

a. $4\ pencils$

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

$total\ pencils=79$

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: $4$ .

This means that Louis’s teacher will receive 4 pencils.

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.

4 0

3 years ago

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Passes through (3,1) ,perpendicular to y=-3x+2

padilas [110]

Slope would be 1/3 so do rise over run from your point

5 0

3 years ago

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WILL GIVE BRAINLIEST AND 13 POINTS!!!!!! When you measure the length of an object to the eighth of an inch and again to the four

Savatey [412]

The smaller the value of the least increment, the more precise a number is.

Length measured to the nearest 1/8 inch will be more precisely specified than length measured to the nearest 1/4 inch.

_____

In general, precision has little to do with accuracy—how close the measured value is to the actual value. A measurement can be very precise, but just plain wrong. (Many electronic instruments have resolution (precision) that exceeds their accuracy. That is, one or two (or more) of the least-significant displayed digits may be in error.)

7 0

3 years ago

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