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3 years ago

What is the solution of the system? use elimination . -12x-y=6 17x+y=4

1 answer:

5 0

To clarify the systems of equations:

$-12x - y = 6$
$17x + y = 4$

We already have opposite coefficients for y, so combine the two equations together:

$5x = 10$

Divide both sides by 5 to get x by itself:

$x = 2$

Because we now know x, we can plug it into one of the equations.

We will plug this value into the first equation:

$-12(2) - y = 6$

$-24 - y = 6$

Add 24 to both sides.

$-y = 30$

Divide both sides by -1 to get y by itself.

$y = -30$

Using elimination, x = 2 and y = -30.

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How do i solve this

aleksandr82 [10.1K]

Replace g for -2 and h for 5.

(2(-2) + 9(5) -5) - (6(-2) - 4(5) +2)

Taking this one at a time,
2(-2) = -4, and 9(5) = 45.
6(-2) = -12 and -4(5) = -20

(-4 + 45 - 5) - (- 12 - 20 +2)

Let’s distribute the negative symbol to the right side.

(-4 + 45 - 5) + (12 + 20 - 2)

Then, we solve!
(-4 + 40) + (12 + 18)

(36) + (30)

= 66!

8 0

3 years ago

Read 2 more answers

Graph x^4-3x^2+x. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the inte

Brums [2.3K]

Functions, equations and tables can be represented using graphs

The x-intercepts are: 0, 0.35 and 1.53
The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)

The expression is given as:

$x^4-3x^2+x$

Rewrite the expression as a function

$f(x) = x^4-3x^2+x$

See attachment for the graph of the function.

<h3>The x-intercepts</h3>

This is the point where the graph cross the x-axis.

From the attached graph, the x-intercepts are: 0, 0.35 and 1.53

<h3>The local maximum</h3>

From the attached graph, the local maximum is at point (0.17, 0.08)

<h3>The local minimum</h3>

From the attached graph, the local minimum is at point (1.13, -1.07)

<h3>Intervals</h3>

The graph increases at interval (-1.30, 0) and (1,13, infinity)
The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)

Read more about graphs and functions at:

brainly.com/question/13136492

4 0

2 years ago

If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n

pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the $\sum^\infty_{n=0}C_n8^n$ is convergent

Therefore,

(a) $\sum^\infty_{n=0}C_n(-3)^n$ The power series $\sum C_nx^n$ has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ $\sum^\infty_{n=0}C_n(-3)^n$ is convergent.

(b) $\sum^\infty_{n=0}C_n(-8)^n$ -8 could be right on the edge of the interval of convergence, and so might not converge

8 0

3 years ago

F(3) if f(x) = 2x + 4

Sliva [168]

It would be 10
You substitute “x”for “3” so the equation would be 2(3) + 4. Then you multiply 2 and 3, which is 6. Finally add the 4 to get 10.

6 0

2 years ago

The scale of a map is 1 : 25 000

Artyom0805 [142]

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

7 0

3 years ago