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DIA [1.3K]
3 years ago
15

Write an inequality to represent the graph. a dashed line passing through points 0 comma negative 3 and 2 comma 2 with shading a

bove it
A.y is greater than two fifths times x minus 3 B. y is less than two fifths times x minus 3 C. y is greater than five halves times x minus 3 D. y is less than five halves times x minus 3
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer: y > (5/2)*x - 3

Step-by-step explanation:

Ok, the thins we should notice.

The line is shaded, so the values of the line are not solutions of the inequality, then we should use < or >.

The shaded part is above the line, so we have:

y > a*x + b.

A linear relationship can be written as:

f(x) = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, we know that our line passes through the points (0, -3) and (2, 2)

Then the slope is:

a = (2 -(-3))/(2 - 0) = 5/2.

f(x) = (5/2)*x + b.

To find the value of b, we can replace the values of one of the points in the equation, let's use the point (0, -3)

f(0) = -3 = (5/2)*0 + b

-3 = b

Then the line is:

f(x) = (5/2)*x - 3

Then the inequality is:

y > (5/2)*x - 3

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<span>P(t)=P₀a^t
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5 0
3 years ago
A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depressio
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Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

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How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

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4 0
3 years ago
3/5 divided by 2 and 1/2
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Step-by-step explanation:

6/10

divided by 2

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4 0
3 years ago
Decrease £1280 by 60%
klemol [59]

Hi rainy here !!! so lets see lets set up your problem like this                              

X/1280 = 60%/100 so lets cross multiply

100 times X =100X

60 times 1280 = 76800

100X=76800 now lets divide each side by 100

100 divided by 100 = 0

76800 divided by 100 = 768

X=768 

So now we have to subtract to get the total amount so 1280 minus 768 = 512

512 is your answer :)

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Answer:

True

Step-by-step explanation:

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