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1 year ago

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Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify

which point would satisfy both inequalities. y > -1/4x - 5 y > x - 2

1 answer:

rusak2 [61]1 year ago

3 0

The graphs of the inequalities given as

y > -1/4x - 5 and y > x - 2 is shown below;

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Whats the inequality of R-2<7

VashaNatasha [74]

Answer:

R=9

Step-by-step explanation:

Change the sign of -2 to 2

Add 2 to 7

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3 years ago

What is the best estimate for the product 289 and 7?

Hitman42 [59]

The answer would be 2020 unless you have any specific answer choices.

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4 years ago

Read 2 more answers

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab

Jlenok [28]

Answer:

c). y = 2

Step-by-step explanation:

We can check a line by inputting the x and y from (x, y) into the equation.

For a. y = 2x we get

2 = 2*10 and 2 = 2*(-3), both of those are false

For b. y = 2x - 3 we get

2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again

For c. y = 2 we get

2 = 2 and 2 = 2, both of those are true, so this is the right answer.

For d. y = 2x + 10 we get

2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false

Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).

y = ax + b

We input (x, y) as (10, 2) and (-3, 2)

2 = a*10 + b = 10a + b

2 = a*(-3) + b = b - 3a

so we have

10a + b = b - 3a

13a = b - b

13a = 0

a = 0

Now we ca use a = 0 to solve either of the equations above:

2 = 10a + b

2 = 10*0 + b

2 = b

so with a=0 and b=2 we get the answer

y = 0*x + 2

y = 2

Which brings us to answer c. again.

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3 years ago

What is 18 ÷34

NeX [460]

Answer:

2/3 is the correct answer

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3 years ago

Solve the initial value problem d y d x = 2 x 1 , y ( 0 ) = 2

Sunny_sXe [5.5K]

Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.

<h3>What is separation of variables?</h3>

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is given by:

$\frac{dy}{dx} = 2x$

Then, applying <em>separation of variables</em>:

$dy = 2x dx$

$\int dy = \int 2x dx$

$y = x^2 + K$

Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:

y(x) = x² + 2.

More can be learned about separation of variables at brainly.com/question/14318343

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2 years ago