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3 years ago

What is the graph for y<2x-5,y>-3x+1

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

I put in a graph and the equation
y<2x-5
y>-3x+1

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What is the vertex of the graph of y = x2 + 4x?<br> (–2, –12)<br> (–2, –8)<br> (–2, –6)<br> (–2, –4)

SCORPION-xisa [38]

Answer: The vertex of the parabola (quadratic function) is (-2,-4)

Fourth option: (-2,-4)

Solution:

y=x^2+4x

y=ax^2+bx+c; a=1, b=4, c=0

Vertex: V=(h,k)

h=-b/(2a)

h=-4/(2(1))

h=-4/2

h=-2

y=x^2+4x

k=y=h^2+4h

k=(-2)^2+4(-2)

k=4-8

k=-4

Vertex: V=(h,k)

Vertex: V=( -2, -4)

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4 years ago

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Write an informal proof to show triangles ABC and DEF are similar.

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Step-by-step explanation:

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3 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

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1 year ago

At the school play abby handed out 250 programs and kim handed out 300 what is the ratio of the number of programs abby handed o

photoshop1234 [79]

A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,

Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)

Ratio = 250 / 300 = 5/6

Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.

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