What is the minimum value of the function g(x) = x2 - 6x – 12?
-21
3-21
3
3+21

Answers

Answer 1

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21


Related Questions

What is g(4) if g(x)=x^2-5

Answers

Answer:

g(4)=11

Step-by-step explanation:

g(4)

g(x)=x^2-5

We know x equals 4 so substitute

g(4)=4^2-5

g(4)=16-5

g(4)=11

plsss answer asapp and pls show work ty:)

if CE=7x+4 , find the value of X

Answers

Answer:

x=5

Step-by-step explanation:

If CE=7x+4, then x+3+(8x-9)=7x+4

x+3+8x-9=7x+4

Combine like terms: 9x-6=7x+4

Isolate x to one side: 2x-6=4

add 6: 2x=10

divide by 2: x=5

check your work;plug x into both equations

5+3=8, 8(5)-9=31....8+31=39

7(5)+4=39

Write and solve the sentence as a equation;

The number is 5 less than -7

Answers

Answer:

x= -12

Step-by-step explanation:

(-7) - x = 5

<=> x = (-7) - 5

<=> x = -12

Answer:

-7 - 5 = -12

Step-by-step explanation:

Hope it helps :)

20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!

1. Which of the following properties would you use to solve 3r ≤ 16 for r?
A) multiplication property of inequality
B) addition property of inequality
C) subtraction property of inequality
D) division property of inequality

2. Explain the difference between perimeter and volume.
A) You use perimeter to measure the distance around an object. Volume represents space inside a two-dimensional object.
B) Perimeter represents space inside a two-dimensional object. You use volume to measure the distance around an object.
D) You use perimeter to measure the distance around an object. Volume represents space inside a three-dimensional object.
C) Perimeter represents space inside a three-dimensional object. You use volume to measure the distance around an object.

Answers

Answer:

1. division property of inequality

2. Perimeter is used to represent the distance around an object, and volume is the space inseide a three dimensional object.

Step-by-step explanation:

Answer:

1- (D)Division property of Inequality.

2-(B)Perimeter represents space inside a two-dimensional object. You use volume to measure the distance around an object.

Trust me.

Step-by-step explanation:

1- Explanation for the first answer is if you divide 3r%16 you will get 4r

2- I already explained it.

Given _______________________________________________, there is one and only one line perpendicular to the plane through that point.

Answers

Answer:

through a given plane

Step-by-step explanation:

CHEM HELP !!!!!

LOOK AT THE PIC ABOVE PLEASE !!!!!! I’ll VENMO

Answers

Answer:

There is no picture for the help you need :(

There’s no picture above to help you


Jackson School's spelling bee started at
9:15 A.M. and ended at 10:25 A.M. How
long did the spelling bee last?
A.) 1 hour and 10 minutes
B.) 1 hour and 5 minutes
C.) 55 minutes

Answers

Answer:

The answer is A) 1 hour and 10 minutes

Step-by-step explanation:

How many multiples of 6 are greater than -25, but less than 25?

Answers

Answer:

8.

Step-by-step explanation:

They would be -24, -18, -12, -6, 6, 12, 18, 24.

Use the ALEKS calculator to find 35% of 89. Do not round your answer.

Answers

The answer is 31.15! Hope this helps!

If Benji weighs 529 pounds and he eats 7 pounds of watermelon how much percent watermelon would Benji be?

Answers

Answer:

1.3232514 %

Step-by-step explanation:

pounds of watermelon/ total pounds

7/ 529

.013232514

Change to percent form

1.3232514 %

In this diagram, EA−→−⊥ ED−→− and EB−→− bisects ∠AEC . Given that m∠AEB = 4x + 1 and m∠CED = 3x, determine the missing measures. please help :)

Answers

Answer:

Step-by-step explanation:

8,33

Help if you can please!!

Answers

Answer: Choice (B)25b^2+40b+23

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

Work Shown:

c(b) = 5b

h(b) = b+4

h(c(b)) = c(b)+4 ... replace every b with c(b)

h(c(b)) = 5b+4 ... replace c(b) on the right hand side with 5b

For the sake of simplicity, let's call "h(c(b))" as k

k = h(c(b))

k = 5b+4

that way we can use it later in the next section

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

a(b) = b^2 + 7

a(k) = k^2 + 7 ... replace b with k

a(k) = (5b+4)^2 + 7 ... plug in k = 5b+4

a(k) = 25b^2+40b+16+7 .... use FOIL rule

a(k) = 25b^2+40b+23

a( h(c(b)) ) = 25b^2+40b+23

In that last step, I replaced k with h(c(b)) so that we get to the original format your teacher wanted.

These are my questions.
Someone should please help ​

Answers

Step-by-step explanation:

The third one is not clear hence i couldn't answer it the rest i did

(20 points) I need help urgently. Send Help!!!! (Geometry) m∠DEF if m∠DEH = (9x + 3) ° and m∠HEF = (5x + 11) °

Answers

Answer:

very hard question

Step-by-step explanation:

let f(x)=x+3 and g(x)=6x+4. find f(x)+g(x), g(x)-f(x), and g(f(x)).

Answers

I hope this helps you...

I know that this is a very tricky question: What is the value of 0 to the power 0?​

Answers

Answer:

just 1

Step-by-step explanation:

It is easy, anything with the power of zero just equals to one

Answer:

1

Step-by-step explanation:

any number including 0 having power 0 will be equal to 1

Suppose you start at the origin, move along the x-axis a distance of 6 units in the positive direction, and then move downward along the z-axis a distance of 3 units. What are the coordinates of your position

Answers

Answer:

Coordinates are (x,y,z)= ( 6,0,-3)

Step-by-step explanation:

Because

X = +6units

Y= 0at origin

= -3 units negative because its downwards on the number line

if the area of a rectangle is square meters, then the length is 10 meters and the width is 2 meters

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

To find the area of a rectangle or square, you multiply the length by the height.

The length is 10 meters and the width is 2 meters.

10 times 2 is 20.

The rectangle is 20 square meters.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required area of the rectangle is 20 square meters.

Given that,
If a rectangle's area is square meters, then the length is 10 meters and the width is 2 meters.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
area of the rectangle is given as
Area = length × width
Area = 10 × 2
Area = 20

Thus, the area of the rectangle is 20 square meters.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

Suppose it takes you 12 min to walk from home to school at a rate of 260 ft/min. Your friend lives closer to school than you do. Which inequality represents the distance d (in feet) that your friend lives from school? A. d 260 C. d > 3120 D. d < 3120

Answers

Answer:

The answer is d < 3120.

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Answers

7y+6x-14=0

Step-by-step explanation: if we know two coordinates of a line.

Answer:

6x+7y=14

Step-by-step explanation:

graphed using desmos, answer for edge 2021

is 3/8 rational or irrational

Answers

Answer:

Step-by-step explanation:

rational because 3/4 is rational.

As regards if the fraction 3/8 is a rational or irrational number, the correct answer is that it is a rational number.

Why is 3/8 a rational number?

Rational numbers are numbers and fractions that are finite in nature. This means that they do not keep on going with non zero digits.

When converted to a decimal, the number 3/8 is:

= 3/8

= 3 ÷ 8

= 0.375

3/8 does not repeat so it is a rational number.

Find out more on rational numbers at https://brainly.com/question/12088221.

#SPJ2

A farmer was dividing up his one-eighth of an acre of land between his 6 children. Since each child got the same amount of land, what fraction of the acre did each get?

Answers

Answer:

1/48

Step-by-step explanation:

A farmer was dividing up his one-eighth of an acre of land between his 6 children.

We are told each child got: the same amount of land. Hence,

1/8 of 1 acre =

1/8 acre of land

Divide 1/8 acre of land by 6 children

1/8 ÷ 6

1/8 × 1/6

= 1/48

Hence, the fraction of the acre of the land that each child got = 1/48

Please help! This is for geometry

Answers

ACB=90*
ACD=60*
so, DCB=30*
again, CBD= 90*

Now, in triangle CBD,
Tan 60 = CD/BD
Or, (root)3 = CD/5
Or, CD= 5(root)3

Now,
In triangle ACD
Tan. 60 = AD/CD
Or, (Root)3 = (5(root)3/AD)
Or, 5/AD = 1 ( root 3 and root 3 gets cancelled)
so, AD = 5

8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?

Answers

Answer:

[tex]\bold{2\cdot10^9}[/tex]

Step-by-step explanation:

The given expression s are:

[tex]8 \cdot 10^4[/tex] and

[tex]4\cdot10^{-5}[/tex]

To find:

[tex]8 \cdot 10^4[/tex] is how many times  as large as [tex]4\cdot10^{-5}[/tex].

Solution:

Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].

So, we can say that:

[tex]8 \cdot 10^4[/tex]  = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]

OR

[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]

Let us have a look at the formula for exponents:

[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]

Here we have:

[tex]x=10\\p=4\ and\\q=-5[/tex]

Solving the expression using above formula:

[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]

So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]

Answer: 5 is your answer!

Step-by-step explanation:

A movie rental company offers a membership plan that costs $10/month and charges $2 to rent each movie. How many movies can a mentor rent in one month and spend at most $24? Write and solve the linear inquality..... Right Answer Will Be Crowned TYPE SOMETHING OTHER THAN THE ANSWER WILL GET DELETED! CORRECT ANSWER GET 50 POINTS

Answers

Answer:

See below

Step-by-step explanation:

linear equation: y=2x+10

x=cost per movie rented

10=$10 for the membership

24=2x+10    (24 being total you want to spend)

subtract 10 from each side

14=2x

divide by 2

7=x

He can rent no more than 7 movies if he want to spend $24 or less in the month

Choose the correct answer
dilation of 0.5 about the origin
R(1,3), s(1,4), 7(4,4), u(3, 1)
A) R(0.25, 0.75), s(0.25, 1), 7(1, 1), u(0.75, 0.25)
B) S(-1,4), 7(-4,4), u(-3, 1), R(-1,3)
C) R(0.5, 1.5), s(0.5, 2), 7(2, 2), u(1.5, 0.5)
D) R(-1,-3), s(-1,-4), 7(-4,-4), u(-3,-1)

Answers

Answer: i think it's c

Step-by-step explanation:

what is the slope ? y + 6 = 3 (x + 1)

Answers

I hope this helps you

y+6=3x+3

y=3x-3

in formula m is y=mx+b

m=3

Answer:

3

Step-by-step explanation:

Slope is the coefficient of x, m in the form of y = mx + b

y + 6 = 3(x +1)y + 6 = 3x + 3y = 3x - 3

Slope of this function is 3

What is the difference between a rational number and anirrational number?

Answers

Step-by-step explanation:

I'm sure u could've googled this answer.

Rational numbers refers to a number that can be expressed in a ratio of two integers.

An irrational number is one which can't be written as a ratio of two integers.

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

Answers

Answer

48°

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

[tex] \sf{7x + 8x = 90 °}[/tex]

Collect like terms

⇒[tex] \sf{15x = 90 °}[/tex]

Divide both sides of the equation by 15

⇒[tex] \sf{ \frac{15x}{15} = \frac{90}{15} }[/tex]

Calculate

⇒[tex] \sf{x = 6 °}[/tex]

The value of X is 6°

Now, substituting / Replacing the value of x

⇒[tex] \sf{7x = 7 \times 6 = 42}[/tex]

⇒[tex] \sf{8x = 8 \times 6 = 48}[/tex]

The measure of larger angle is 48°

Hope I helped!

Best regards!!

Use
with numbers. Use
with shapes.

Answers

Answer:

Can you clarify?

Step-by-step explanation:

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