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2 years ago

9. Graph the solution to the inequality x - 4y < -12?

Mathematics

1 answer:

VMariaS [17]2 years ago

6 0

Answer:

See below ~

Step-by-step explanation:

Finding the x-intercept :

x - 4(0) < -12
x < -12
x-intercept = (-12, 0)

Finding the y-intercept :

0 - 4y < -12
y > 3
y-intercept = (0, 3)

Take the two points and graph the inequality.

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Which of the following are solutions to the equation below?

Reptile [31]

Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

x(x - 1) +2(x-1) = 0

(x+2)(x-1) = 0

Solve for x

x +2 = 0 OR x - 1 = 0

x = -2 OR x = 1

Answer will be Option B and D

Hope this helped and have a good day

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2 years ago

Read 2 more answers

Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What

marissa [1.9K]

Answer:

The velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is $x-y$

and with wind is $x+y$ therefore

$x-y=720$ ------------(1)

$x+y=1000$ ---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

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3 years ago

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dimaraw [331]

Answer:

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Step-by-step explanation:

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2 years ago

What is the theoretical probability a fair coin will land on tails?

Harman [31]

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3 years ago

9. Graph the solution to the inequality x - 4y < -12?​

9. Graph the solution to the inequality x - 4y < -12?