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3 years ago

Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

Mathematics

2 answers:

katen-ka-za [31]3 years ago

6 0

Answer:

Step-by-step explanation:

sveta [45]3 years ago

6 0

Answer:

Infinite solutions

Step-by-step explanation:

We can see that when we multiply both sides of the first equation of the system by 3, it becomes exactly the same as the second one. When that happens, it means that there are infinite solutions to this system.

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Will give 25 points and brainliest answer if correct

Norma-Jean [14]

Let $d$ be the common difference between terms in the sequence $\{a_n\}_{n\ge1}$ . Then

$a_{19}=-58$
$a_{20}=a_{19}+d$
$a_{21}=a_{19}+2d$
$\implies-164=-58+2d\implies d=-53$

The first term in the sequence, $a_1$ , satisfies

$a_2=a_1+d$
$a_3=a_1+2d$
$a_4=a_1+3d$
...
$a_{19}=a_1+18d$
$\implies-58=a_1+18(-53)\implies a_1=896$

So the explicit formula for the $n$ -th term in the sequence is

$a_n=a_1+(n-1)d\implies a_n=896-53(n-1)$

5 0

3 years ago

Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, h

lidiya [134]

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

= 12 / 15

= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

8 0

3 years ago

Read 2 more answers

3. Consider the medical procedure described in the previous question, and suppose a patient is charged $24,900 for the procedure

Gekata [30.6K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Tim is making a fence in the shape of a triangle for his livestock. He wants one side of the triangle to be two times as along a

Ugo [173]

Answer:

Step-by-step explanation:

42 < 21+3x < 84

21 < 3x < 63

7 < x < 21

7 0

3 years ago

A bicycle wheel has a radius of 13 inches. What is the distance the bicycle will travel after 30 revolutions of the wheel? Use 3

SpyIntel [72]

Radius = 13 inches

Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches

1 revolution = 81.64 inches
30 revolutions = 2449.2inches

7 0

2 years ago