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3 years ago

One equation in a system of linear equations is y=2x+1

Mathematics

1 answer:

Rufina [12.5K]3 years ago

3 0

Step-by-step explanation:

Given equation:

y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

Let it be 10, then the y-intercept of y = 10x + b is:

3 = 1*10 + b ⇒ b = -7

And the equation:

y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

To have infinitely many solutions, both equations must be same:

y = 2x + 1

c. Write a second equation so that the system has no solutions.

To have no solutions, the equations must have same slope but different y-intercepts:

y = 2x + 5

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Find the value of y. Round your answers to the nearest tenth

ANTONII [103]

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AB}{RS}$ = $\frac{ED}{VU}$ , substitute values

$\frac{6}{4}$ = $\frac{8}{y+1}$ ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

4 0

2 years ago

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How many 2/3 penuts can be made with 8 ounces of penuts?

Sever21 [200]

Divide
8/1 / 2/3
Keep change flip
8/1 x 3/2
Simplify
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3 years ago

What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? (5 points) y = 4x − 2 y = 2x − 4 y = −3(

DIA [1.3K]

For this case we have that by definition, the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

We have the following points:

$(x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3$

We chose a point:

$(x_ {0}, y_ {0}) :( 4,0)$

Substituting in the equation we have:

$y-0 = -3 (x-4)\\y = -3 (x-4)$

Finally, the equation is: $y = -3 (x-4)$

Answer:

OPTION C

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3 years ago

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PLease Help! I'm hopeless at math.

Furkat [3]

Answer:

It's B, I'm only trying my best since there is no picture.

Step-by-step explanation:

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3 years ago

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The jaguars scored 37 points their first game. They scored 58 points their second game. What is their percent change?

aliina [53]

Answer:

Change in percent = 56.75 (Approx.)

Step-by-step explanation:

Given:

Score in first game = 37 points

Score in second game = 58 points

Find:

Change in percent

Computation:

Change in percent = [(Score in second game - Score in first game)/Score in first game]100

Change in percent = [(58-37)/37]100

Change in percent = [(21)/37]100

Change in percent = 56.75 (Approx.)

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3 years ago