1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nostrana [21]
3 years ago
6

Can someone please help me

Mathematics
1 answer:
solniwko [45]3 years ago
3 0
Is this homework or classwork?

You might be interested in
Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
What inequality symbol belongs in the circle: -4 _ 5<br> 30 POINTS!
navik [9.2K]

Answer:

<

Step-by-step explanation:

Inequality symbols:

<     less than

>     greater than

=     equal to

≤     less than or equal to

≥     greater than or equal to

In this case, it is known that -4 is less than 5, or:

-4 < 5.

~

7 0
3 years ago
Read 2 more answers
Round 14.561 to two decimal places
Marizza181 [45]

Answer:

round 14.561 to two decimal places=15

7 0
3 years ago
Work out the number that is halfway between 27 times 38 and 33 times 38.
lutik1710 [3]
27*38=1026\\&#10;33*38=1254\\&#10;x-between\ number\\&#10;x=\frac{1026+1254}{2}\\&#10;x=\frac{2280}{2}\\&#10;x=1140
4 0
3 years ago
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each mi
Sedbober [7]

Answer:

The slope of the equation is -3.          

Step-by-step explanation:

Given : Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.

To find : What is the slope ?

Solution :

Let x be the number of minutes taken to dig the ground.

He started digging his way deeper into the ground, descending 3 meters each minute i.e. '-3x'

Let y is the total distance travel to dig the ground.

Mr. Mole's burrow lies 5 meters below the ground.

The equation form is y=-3x-5

Comparing with general slope form i.e. y=mx+c where m is the slope.

The slope of the equation is -3.

5 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains four red marble, five blue marbles, and two green marbles. if one marble is chosen randomly, what is the probabil
    13·2 answers
  • Economite plastics plans to produce a one-compartment vertical file by bending the long side of an 8-in. by 14-in. sheet of plas
    12·1 answer
  • What is approximate volume of a cone with a height of 9 feet and radius of 3 feet?
    10·2 answers
  • Implicit differentiation: ycosx=x^2+y^2
    8·2 answers
  • For each box of oatmeal on a grocery store aisle, there are two boxes of cereal. If there are 81 boxes in total, how many of the
    13·1 answer
  • Is anyone here familiar with Algebra 1B problems?
    15·1 answer
  • If it takes 3 teaspoons of salt to make 15 muffins, then how much salt is needed to make 50 muffins?
    14·1 answer
  • WILL UPVOTE! HELP IN GEOMETRY!
    11·1 answer
  • Please help ASAP I need to do this
    6·1 answer
  • The volume (V) of a cylinder can be found using the formula V = (pi)r^2h, where r is the radius and h is the height. A cylinder
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!