All categories

2 years ago

How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36

1 answer:

7 0

The number of intersections of the graphs of the equations is the number of solutions of the system.

The system is:

(1/2)x + 5y = 6

3x + 30y = 36

If you multiply the first equation times 6 you get to:

6(x/2) + 6(5y) = 6(6)

=> 3x + 30y = 36

And that is the same second equation, that means that the system is indetermined.

Being the two equations the same, the two graphs are superposed.

So there are infinite intersections.

You might be interested in

HELP. Type the correct exponet 1/10,00= 10(?)

Svetllana [295]

Answer:

100

Step-by-step explanation:

5 0

3 years ago

During a heavy rain storm,a city in Florida received 12 1/4 inches of rain in 25 1/2 hours what is the approixmate rainfall rate

Valentin [98]

The average rainfall per hour is 2.08in

7 0

3 years ago

Multiply the expression 2(x+1)(2x-5)

Sedbober [7]

This gives you the answer, look at it tells you how to solve this and get your answer

8 0

3 years ago

Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs

Lera25 [3.4K]

Answer:

$130.2845\leq h\leq 137.7245$

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

$|h - (2.47f + 54.10)| \leq 3.72$

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

$|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\$

If the modulus function is positive then:

$h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245$

If the modulus function is negative then:

$-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\$

multiply through by -1

$-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h$

combining the resulting inequalities, the estimate of the possible range of heights will be $130.2845\leq h\leq 137.7245$

8 0

2 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST !!

8090 [49]

Answer:

2 and 6, 4 and 8, 1 and 5, 3 and 7

Step-by-step explanation:

The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.

In this example, lines m and l are two parallel lines

line n cuts through both, making every other angle corresponding and congruent, etc...

6 0

2 years ago

Read 2 more answers