A. Cumberland And Lincoln B.lincoln and ocean C.Lincoln and summit D.Ocean and Summit

1.What is the shape of the graph of any quadratic function?

likoan [24]

Answer:

Inverted parabola

Two complex solution

Step-by-step explanation:

any quadratic equation can be expressed in terms of ax^2 + bx + c = 0

It has two solutions which can be found using formula $X =( -b + \sqrt{b^2 -4ac} )/2a \\or \ ( -b - \sqrt{b^2 -4ac} )/2a$

We know that for any value inside the square root function

if it is positive its solution will be real number

for example $\sqrt{9}$ we can have two real solution -3 and 3

if it is negative its solution will be complex number

for example $\sqrt{-9}$ we can have two complex solution

expressed in term of a + ib or a - ib

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Given in the problem

we have ax^2 - bx + c

so its solution will be

$X =( -(-b) + \sqrt{b^2 -4ac} )/2a \\or \ ( -(-b) - \sqrt{b^2 -4ac} )/2a\\\\X =( b + \sqrt{b^2 -4ac} )/2a \\or \ ( b - \sqrt{b^2 -4ac} )/2a\\$

Since in this expression it is given in problem statement that b^2 - 4ac < 0 which will be a negative number and for negative number, its square root is complex number.

also X has two values as given above it will have two solution

hence it will have two complex solution based on above discussion.

Also for any quadratic equation shape of its curve if plotted on coordinate plane is parabolic.

If it has complex solution then curve of such expression will not pass through X axis

7 0

3 years ago

9 - 3 root 3 + 3 root 3 - 3

d1i1m1o1n [39]

Simplify 3^3
= (9-27) + (27-3)
= (-18) + (24)
= 6

6 0

3 years ago

Can someone please help I’m very confused

Oxana [17]

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

8 0

3 years ago

Read 2 more answers

does a polygon have at least 3 straight sides and angles or is it a figure with at least three sides?

solmaris [256]

The correct answer is it is a figure with at least 3 straight sides. When you think of a square or a triangle they both have at least 3 sides that are straight. A circle doesn't have any straight sides so it is not a polygon.
You can prove that the other answer is wrong because of two things:
The definition of a polygon is a plane figure with at least three straight sides.
Also, when you think of most shapes what do they all have in common? The have at least three straight sides

5 0

3 years ago

Read 2 more answers

Factorize this term: (a+b)raise to the power of 4 +4

zimovet [89]

Answer:

(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)

Step-by-step explanation:

Given :

(a + b)⁴⁺⁴

Solving :

(a + b)⁸
(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)

8 0

2 years ago