given f(x)= x square+ 6x + 12 show that f(x) ≥3 for al values of x
the answer plz faaassst

Answers

Answer 1

Step-by-step explanation:

f(x) = x² + 6x + 12

= (x² + 6x + 9) + 3

= (x + 3)² + 3.

Since a² >= 0 for all real values of a,

(x + 3)² >= 0 for all real values of x,

(x + 3)² + 3 >= 3 for all real values of x.

Hence f(x) >= 3. (Shown)


Related Questions

solve the system of equations​

Answers

Answer:

x= -8

y=7

Step-by-step explanation:

make it so the x's cancel out

to do this multiply the bottom equation by 2

2x+3y=5

2x+4y=12

subtract to cancel out the x

-y=-7

y=7

now substitute y into one of the equations(I'm going to do x+2y=6)

x+2(7)=6

x+14=6

x=-8

Multiply the bottom equation by -2

2x + 3y = 5
-2x + -4y = -12
-y = -7
y = 7

x + 2(7) = 6
x + 14 = 6
x = 6 - 14
x = -8

x = -8, y = 7
(-8,7)

What is the perimeter (please explain your answer)

Answers

Answer:

Answer: B. 38 mm

Step-by-step explanation:

The Perimeter of a Shape

The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.

The figure shows a shape where all the external measures are given except the leftmost side.

This length is the sum of 3 mm + 10 mm = 13 mm.

Now calculate the perimeter:

P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm

Answer: B. 38 mm

PLEASE HELP!! The measure of angle 3 is 101 degrees. Find the measure of angle 4. ILL MAKE YOU BRAINLIEST.

Answers

Answer:

The answer is A aka 79*

Step-by-step explanation:

Based on the information given, the value of angle 4 will be 79°.

Solving angles.

It should be noted that the sum of angles on straight line is always 180°.

In this case, the value of the other angle is 101°. Therefore, the value of angle 4 will be:

= 180° - 101°

= 79°

Learn more about angles on:

https://brainly.com/question/25770607

Need help anyone know the answer to this or how to solve for it ?

Answers

Answer:

D to E is apparently 104 degrees , G looks like it has the same measurements , so the unknown measurements will be 74 degrees,

Step-by-step explanation:

challenge question
please help

Answers

Answer:

The 3 possible values of x are;

6, 4 and 2

Step-by-step explanation:

If the triangle is isosceles, then two of the sides must be equal

So we equate the sides, 2 at a time to get the different values of x

3x + 4 = 2x + 10

3x-2x = 10-4

x = 6

3x + 4 = x + 12

3x-x = 12-4

2x = 8

x = 8/2 = 4

2x + 10 = x + 12

2x - x = 12-10

x = 2

An item costs $360 before tax, and the sales tax is $14.40.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer: 4.00%

Step-by-step explanation:

Before Tax Price: $360.00

Sale Tax: 4.00% or $14.40

After Tax Price: $374.40

Answer:

4% sales tax or 360 times 0.04 is 14.40 as tax.

Step-by-step explanation:

Hope this helps! :)

how do you solve 5/2 b - 2 3/4 = 7 1/4

Answers

5/2 b - 2 3/4 = 7 1/4

5/2•b - (2 + 3/4) = (7 + 1/4)

10b = 40

b = 4

Work out the value of 4^0x 16^0

Answers

Answer:

1

Step-by-step explanation:

4⁰ = 1

16⁰ = 1

1 × 1 = 1

Hope this helps...

I need help please !!!

Answers

D- if a system of equations has a solution, then the graphs of the equations will intersect at that solution. In graph D, the lines are parallel and have no intersecting point, meaning they have no solution.
B because they are parallel meaning there are no common points

please help me w this problem

Answers

Answer:

Step-by-step explanation:

it is the letter choice B

GUYS I NEED HELP AGAIN

Answers

Answer:

C

Step-by-step explanation:

-10 - 6x > 26

+10          +10

-6x > 36

-6     -6

When you multiple/divide by a negative you have to flip the sign

x < -6

Answer:

c

Step-by-step explanation:

Given

- 10 - 6x > 26 ( add 10 to both sides )

- 6x > 36

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x < - 6 → c

hey guys I need this. it's due tomorrow. and please show step by step because I am willing to give brainly

Answers

here’s how to do it!

CAN SOMEONE PLEASE ANSWER THISSSSS ASAPPPPPPPPPLPPPP

Answers

I got (-30,40) not sure if 100% but I shown my work in photo

In the figure below, m || h. Find the values of z and y.

Answers

1192828 and also the coordinates 1227

In the figure below, m || h hence y is 25° and z is 107°.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

So, (3y + 32)° + 73° = 180°, as pair of the corresponding exterior and interior angle form 180°.

(3y + 32)° + 73° = 180°.

3y + 105° = 180°.

3y = 180° - 105°.

3y = 75°.

y = 25°.

We also know that vertically opposite angles are equal,

∴ (3y + 32)° = z°.

75° + 32° = z°.

z° = 107°.

learn more about transversal lines here :

https://brainly.com/question/17432060

#SPJ2

Ok- what is z? I’m struggling.

Answers

Answer:

z is an unknown number it sometimes stands for 149

Step-by-step explanation:

Help me with this pls

Answers

Answer:

A. (5x+30)+5x=90

Step-by-step explanation:

to find x they must both add to 90 degrees

1. Find each measure.
a)
m20
8
R
Select
110"
S
8
T
c)

Answers

Answer:

pls write question correctly so I can answer it

Answer:

Rewrite the question i dont understand it

Step-by-step explanation:

PLEASE HELP!!!

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of a for
answers that contain 7.
7 m
10 m

Answers

I think it’s the first one

Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour *

Answers

Division is the answer

Thalium-208 has a half-life of 3 minutes. If the initial amount was 100 mg, how much of the Thalium-208 will remain after 14 minutes?

Answers

Answer:

Step-by-step explanation:

if

Answer:

1.0mg

Step-by-step explanation:

which is bigger 5/8 or 6/10

Answers

Answer:

5/8

Step-by-step explanation:

Answer:   5/8 IS GREATER THAN 6/10  HOPE IT HELPS

Step-by-step explanation:

A ramp has an angle of elevation of \displaystyle 20^{\circ}20 ∘ . It has a vertical height of 1.8 m. What is the length, L meters, of the ramp? Round you answer to the nearest tenth of a meter.

Answers

Answer:

5.3

Step-by-step explanation:

help 30 pts
plz no random answers!

Answers

Answer:

Step-by-step explanation:

His English class can be located on coordinates-3,-2

The next answer is (-3,-7)

Answer:

(-3, -2) and (3,-7)

Step-by-step explanation:

Find the surface area of a triangular prism with height 30 inches, and a right triangle base with side lengths 15 inches and 20 inches, and hypotenuse length 25 inches

Answers

Answer:

2100

Step-by-step explanation:

Giving brainliest!

If Chris divides one fifth of a pound of marbles equally between 9 bags, how much goes into each bag?

A) 14 pounds
B) 1/45 of a pound
C) 9/45 of a pound
D) 45 pounds

Answers

Answer:

B) [tex]\displaystyle \frac{1}{45}\:of\:a\:pound[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{9} \times \frac{1}{5} = \frac{1}{45}[/tex]

I am joyous to assist you at any time.

Answer:

its B

Step-by-step explanation:

simple just b

Micah created a border for his school photo. He cut a 54 cm ribbon to go around the photo. His photo measures 12 cm on one side. What is the area of his photo?

Answers

Answer:

648

Step-by-step explanation:

54X12=648 cm squared

Let f (x) = 3x2 + 2 and g(x) = 2x, find f (g(x))​

Answers

Answer:

D) 12x^2+2

Step-by-step explanation:

As we are dealing with composite functions, the rule is that f(g(x)) means whatever the value of g(x) is, we substitute that value for x in f(x):

[tex]f(x)=3x^2+2\\g(x)=2x\\f(g(x))=3(2x)^2+2\\f(g(x))=3(4x^2)+2\\f(g(x))=12x^2+2[/tex]

So, f(g(x))=12x^2+2, making D the right answer

Answer:

the answer is the third possible answer

Alexa borrows 10,000 from her aunt and they agree Alexa will pay her back including 5% simple interest.how much more will Alexa owe her aunt after 2 years assuming that no payments are made during that time??​

Answers

10,000 x .05 = $500 for one year.

$500 x 2 years = $1,000

The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long is the base of the triangle?

Answers

Answer:

4566

Step-by-step explanation:

you you get that answer by learning and trying your best like me by

Analyze the solution set of the following system by
following the given steps.
2x + y = 5
3y = 9 - 6x
Write each equation in slope-intercept form.
y =
x +
y =
be+
DONE
What do the equations have in common and how are they different

Answers

Answer:

Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]

Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

Step-by-step explanation:

We need to write equations in slope-intercept form.

The general formula of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

The first equation is:

[tex]2x+y=5[/tex]

Slope-intercept form:

[tex]y=-2x+5[/tex]

The second equation is: [tex]3y=9-6x[/tex]

Rearranging: [tex]3y=-6x+9[/tex]

Slope-intercept form:

[tex]y=\frac{-6}{3} x +\frac{9}{3}\\y=-2x+3[/tex]

Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]

Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

They have different y-intercepts.

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