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3 years ago

How do you graph 2x - 1/4y <1

1 answer:

6 0

1 Method is to solve for y so the inequality will resemble slope - intercept form: y = mx + b

$2x- \frac{1}{4} y\ \textless \ 1$
(1) Get rid of the fraction by multiplying the entire inequality by 4 (LCD)
Result: 8x - y < 1
(2) Use the opposite of 8x to move that term to the other side
Result: - y < - 8x + 1
(3) Divide each term by -1 (coefficient of y) *Remember to reverse inequality sign
Result: y > 8x - 1
(4) y-int (b = -1) plot this on the y-axis
(5) slope 8 or $\frac{8}{1}$ means from the y-int value move up 8 then to the right 1 and put a 2nd point
(6) Now it's time to draw a line thru the two points and if the inequality sign < or > you make a dashed (broken) line thru the points
(7) Now where to shade.... look at (3) y > so shade above the line

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What is the total weekly pay for a person earning $9.00 an hour and working only 8 hours a day for 5 days?

melomori [17]

First you woyld find how many hours total he worked.
$5 \times 8 = 40$
Then take the number of hours and multiply by the pay earned per hour.
$40 \times 9 = 360$
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3 years ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

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3 years ago

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Greeley [361]

Answer: So,. The sum of the measures of the angles of a quadrilateral is 360. Let m∠J = m∠K = x. ... CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 24. YZ.

Step-by-step explanation:

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3 years ago

a train traveled 145 miles in 4.2 hours. to the nearest tenth, what was the average speed of the train in miles per hour?

AURORKA [14]

Answer:

34.5

Step-by-step explanation:

divide 145 by 4.2

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3 years ago

Lionel's front yard is in the shape of a square and has an area of 225 square meters

photoshop1234 [79]

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3 years ago

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