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2 years ago

Which equation has a graph that is parallel to the graph of 2x − y = −1?

Mathematics

2 answers:

LenKa [72]2 years ago

7 0

D is your answer I’m 80%sure

maxonik [38]2 years ago

7 0

Answer:

Step-by-step explanation:

So from the first graphs equation is

2x-y=-1

therefore if we made y the subject of the formula, the equation would be

2x+1=y , this is also the same as y=2x+1

from this, the equation is clearly in the form y=mx+c so we can get the gradient

The gradient of graph one would be 2

The perpendicular gradient would be the negative reciprocal of graph one's gradient which would be -1/2

Now we look at our options and see which one has the gradient as -1/2

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Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

3 0

2 years ago

100 POINTS Coronavirus cases rose from 23 cases on October 3rd to 103 cases on November 3rd .What was the percent increase based

evablogger [386]

Answer:

<h2><em>348% increase</em></h2>

Step-by-step explanation:

103 - 23 / 23 = 3.47826

3.48 x 100% = 348%

8 0

2 years ago

Pls help i am on a timer

stich3 [128]

Answer:

$x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}$

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

$x^2 + (-1)^2 = 1 + (-1)^2$

$(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\$

⇒ take the square root of both sides;

$x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}$

Therefore, option B is the right solution.

3 0

2 years ago

Solve for X<br><br> Thank youuu

maksim [4K]

Answer:

x= -4

Step-by-step explanation:

∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)

-16x +13 -20x +23= 180

bring x term to 1 side, constant to the other:

-36x= 180 -13 -23

Simplify:

-36x= 144

x= 144 ÷ (-36)

x= -4

*The sum of the angles on a straight line is 180°

6 0

2 years ago

A number changed to 12.6 after it was rounded. To what place was the number rounded? Explain how you know.

Anton [14]

If 12.6 was rounded, that means that it was rounded to the tenths place.
You know this because the number has one decimal place, so that must be what it was rounded to.

4 0

3 years ago