What is the slope of the line that passes through the points (7,-6) and (4, -6)?

Which of the following equations have complex roots?

mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

2 years ago

Eric owns and operates the hot food truck.The expression 3.25b+2h gives the cost of burgers and h hot dogs.What is the cost of 4

Nat2105 [25]

3.25(4)+2(6) --plug in values
13+12 --multiply
$25 --answer

5 0

3 years ago

Please help! I’ll venmo/ cash app $3 if you help or get right

ra1l [238]

X = 105

The circle is 360, so add the two numbers that are already present there together,. The rest two side are the same, so use 2x, x for one side, so two for two side.

85 + 65 + 2x = 360
150 + 2x = 360
2x = 210
x = 105

5 0

3 years ago

Read 2 more answers

What is the slope of a line perpendicular to the line with equation 2x+3y=9

zheka24 [161]

Answer:

<h2> $slope = \frac{3}{2} \\$ </h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the slope of the perpendicular line we must first find the slope of the original line

The original line is

2x + 3y = 9

3y = - 2x + 9

$y = - \frac{2}{3} x + \frac{9}{ 3} \\ \\ y = - \frac{2}{3} x + 3$

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

So the slope of the perpendicular line is

$slope = \frac{3}{2} \\$

Hope this helps you

8 0

3 years ago

Lara has 75 magazines She sells them for $3 each this situation is modeled by y=3x whereby is the amount of money she makes and

drek231 [11]

Hello!

Since she can not make negative money and the maximum amount of money she can make is 225 so the domain is

$0 \leq x \leq 225$

Hope this helps!

4 0

3 years ago