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1 year ago

Write a system of inequalities using the given graph

Mathematics

1 answer:

ch4aika [34]1 year ago

4 0

Take two points

(-2,1)
(0,-3)

Slope

m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

y=-2x-3
y=-2x-1

Put (0,0) on first one

0>-3

On second one

0>-1

So as lines are dashed symbols remain >

The inequalities are

y>-2x-3
y>-2x-1

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It is 2.4 x 2.5 which equals 6 the answer is 6

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3 years ago

BESTIES PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST. Express as a trinomial (2x-6) (x-4)

zaharov [31]

Answer:

2x² - 14x + 24

Step-by-step explanation:

Use the FOIL method (First, Outside, Inside, Last).

First, multiply the first term of both parenthesis:

2x * x = 2x²

Next, multiply the outside terms of both parenthesis:

2x * -4 = -8x

Then, multiply the inside terms of both parenthesis:

-6 * x = -6x

Finally, multiply the last terms of both parenthesis:

-6 * -4 = 24

Combine like terms:

2x² - 8x - 6x + 24

2x² (-8x - 6x) + 24

2x² (-14x) + 24

2x² - 14x + 24 is your answer.

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3 years ago

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Brennan purchased an almond tart costing $18.56. He gave the cashier $19.55. How much change did the cashier give back to Brenna

11111nata11111 [884]

Answer:

0.99.

Step-by-step explanation:

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3 years ago

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Masja [62]

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Step-by-step explanation:

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2 years ago

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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

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3 years ago