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3 years ago

Find the inequality represented by the graph

Mathematics

2 answers:

igomit [66]3 years ago

8 0

Answer:

y>4x-2

Step-by-step explanation:

Looking at the line, we notice:

yyy-intercept is \purpleD{-2}−2start color #7854ab, minus, 2, end color #7854ab

Slope is \dfrac{\Delta y}{\Delta x}=\dfrac{4}{1}=\goldD{4}

Δx

Δy

=4start fraction, delta, y, divided by, delta, x, end fraction, equals, start fraction, 4, divided by, 1, end fraction, equals, start color #e07d10, 4, end color #e07d10

Hint #22 / 4

The slope-intercept form of the inequality is

y~?~\goldD{4}x\purpleD{-2}y ? 4x−2y, space, question mark, space, start color #e07d10, 4, end color #e07d10, x, start color #7854ab, minus, 2, end color #7854ab

where the "?" represents the inequality symbol.

Hint #33 / 4

Notice:

The graph is shaded above (not below), so yyy is greater than the other side of the inequality.

The graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.

Therefore, we should use the greater than symbol.

Hint #44 / 4

The answer:

y>4x-2y>4x−2

Nuetrik [128]3 years ago

7 0

Answer:

y>=1*x+2

Step-by-step explanation:

y>=k*x+n

we know that 2=k+n and 0=-2k+n

so 4=2k+n and 0=-2k+n

now 4=2n so n=2

now k=1

so y>=1*x+2

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3 years ago

2. On Monday, I bought 3 dogs and 5 cats for a total cost of $8.25. On Tuesday, I bought 3 dogs and 6 cats for a total cost of $

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2 years ago

Which table of values includes solutions to the function f(x) = -2x^2?

olga_2 [115]

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3 years ago

one leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the lon

Makovka662 [10]

The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
-----------------------------
The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².

Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.

So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²

Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25

Now combine like terms:
2B² -10B + 25 = B² + 10B + 25

And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B

Subtract B² from each side:
B² - 10B = 10B

Add 10B to each side:
B² = 20B

And finally, divide each side by B:
B = 20

So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.

And your final answer is A = 15mm, B = 20mm, and H = 25mm

7 0

3 years ago