All categories

2 years ago

What is the solution to the system of equations below?

Mathematics

1 answer:

Lelechka [254]2 years ago

6 0

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

<h3>If you need to ask any questions, let me know.</h3>

You might be interested in

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

The recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

Solution:

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

Let us find the difference between terms

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The nth term of arithmetic sequence is given by:

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

Thus the recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ......

8 0

3 years ago

what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form

Alina [70]

La formula para sacar la pendiente:

Y2-Y1/X2-X1

Respuesta:

Y2-Y1/X2-X1= -2-(-10)/-1-(-1)

= -2+10/ -1+1= 8

R=8

Espero que te sirva

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to StartRoot 200 EndRoot?

Verdich [7]

Answer:

b) √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Taking ROOT both sides, we get: $\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}$

Hence, √200 = 10√2

5 0

3 years ago

Read 2 more answers

Estimate 2000 ÷3.67

inysia [295]

Answer:

1.30

Step-by-step explanation:

2000^3.67 =1.3025071e+12

3 0

3 years ago

Read 2 more answers

Q={1,3,6,9,10,15} then rewrite in set builder method

AfilCa [17]

Answer:

{x:x is a multiple of 3, x ≤ 15}

4 0

2 years ago