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2 years ago

Graph the equation. Y=2/3x*2+4x+4

Mathematics

1 answer:

icang [17]2 years ago

3 0

Answer:

See attached graph

Step-by-step explanation:

The equation is given as;

$y=\frac{2}{3} x^{2} +4x+4$

Use a graph tool to graph and view as attached;

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write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a

Ainat [17]

Answer:

Examine this system of linear equations.

y – 3x = –2,

y = 4

Which is a solution of the system of equations?

(0, 4)

(2, 2)

(2, 4)=this is the correct answer

(4, 2)

Step-by-step explanation:

thats the answer

(2,4)

4 0

2 years ago

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)

umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

$\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 = -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y = (x+5)^2 +24 \\\\ y = \frac{1}{12} (x+5)^2 +2$

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

7 0

2 years ago

Read 2 more answers

Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of

Gelneren [198K]

<h3>Answer: 0.557</h3>

===================================================

Work Shown:

$P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\$

-------------

Side note:

A similar formula is $P(A \cup B) = P(A) + P(B) - P(A \cap B)$

We can isolate the last term to get the first equation shown above.

5 0

2 years ago

Read 2 more answers

Write a polynomial f(x) that meets the given conditions. Answers may very

AnnZ [28]

The polynomial is: $f(x)=x^3-2x^2-23x+60$

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

So, x=3, x=-5 and x=4

or:

x-3=0, x+5=0 and x-4=0

Multiplying all factors to find the polynomial:

$(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0$

So, the polynomial is: $f(x)=x^3-2x^2-23x+60$

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

#learnwithBrainly

4 0

2 years ago

If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), determine the coordinates of the other endpoint.

Natali5045456 [20]

Answer:

The other end of the line segment is at (-8, 3)

Step-by-step explanation:

Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:

dx = -5 - (-2) = -3

dy = -1 - (-5) = 4

-5 + dx = -8

-1 + dx = 3

So the other end of the line segment is at (-8, 3)

5 0

2 years ago