What is the range of the functuon f(x)=(x-4)(x-2)

Answers

Answer 1

Answer:

The range is [-1, ∞).

Step-by-step explanation:

The  points where the graph of this function cut the x axis are at x = 2 and x = 4 ,  it opens upwards and has a minimum  value.

It has a minimum value  when x = (2 + 4) / 2 = 3.

When x = 3,  f(x) =  (3 - 4)(3 - 2) = -1.

So the range is all real values of x >= -1, or [-1, ∞)


Related Questions

Which is the graph of g(x)?

Answers

Answer:

The last one

Step-by-step explanation:

Answer:

4 is the correct answer, I believe.

Reasoning:

The first line must be graphed with a constant y of 3, and stop before -2. Which it does on all 4 graphs.

The third line must, when extended, pass through point (0, -3). Only graph 1 and 4 follow that criteria, so it is not 2 or 3.

The second line's y-intercept must be 2, as well as begin at -2 and end before 2. Only graph 4 correctly plots this equation.

I hope this helps! :)

What is the midpoint of the segment shown below ?

Answers

Answer:

The correct answer is a) (6, 3).

Step-by-step explanation:

The midpoint is determined in straight lines by subtracting the larger x-coordinate value and the smaller x-coordinate value. In this case, it is 10 - 2. You earn 8. Then, divide this answer by 2. So, you get 4. Finally, either subtract this from the larger x or the smaller x. You will earn 6. Since you are solving for a straight line, your y-coordinate will be the same as the others. Therefore, A is your answer.

The answer is (6,3)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

PLEASE ANSWER THIS QUESTION !! 20 POINTS AND BRAINLIEST !!

Answers

Answer:

B

Step-by-step explanation:

If they have no solutions, the lines must not intersect.

If they don't intersect, they must be parallel

the answer to your question is B

Micheal was asked to give examples of the identity property of addition and identity multiplication. Below are his answers.

Answers

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

Answer:

He should have added 0 to 8 and multiplied 1 by 8

Step-by-step explanation:

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer:

Width: 2x+1

Step-by-step explanation:


Dan invests £1200 into his bank account.
He receives 5% per year compound interest.
How much will Dan have after 5 years?
Give your answer to the nearest penny where appropriate

Answers

Answer:

300 euros

Step-by-step explanation:

1200 x 5 x 5=30000/100=300

Answer:

£1531.53

Step-by-step explanation:

Times 1200 by 1.05 then times the new answer by 1.05 until done 5 times

Tricky Math Question : If 3 cats cn catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies ?

Answers

Answer:

300 minutes

Step-by-step explanation:

cause 100 cats can catch 100 bunnies in 300 min

You are playing a game that uses two dice. You need to roll an eleven to win the game.
15.
What is the sample space for rolling two dice?​

Answers

Answer:

Step-by-step explanation:

Attached is the sample space for rolling two dice

x : 28 = 7 : x calculate the positive value of x .

Answers

answer is 2.

x is divided by 28 and 7 is divided by x

after that cut 28 by 7

and the anwer will be x square = 4

and the square will go to 4

and four will be root 4

and the answer will be x = 2

17. Segment MN is drawn in the coordinate plane. Point M has coordinates (13,9) and the midpoint of MN is the point (4.4). What are the
coordinates of point N?
(-9.4)
(-5, -1)
(1,3)
(8.5, 6.5)

Answers

(13+4/2, 9+4/2)=(17/2, 13/2)=(8.5, 6.5)

The required coordinate of the point N is (-5, -1). Option b is correct.

Given that,
Segment MN is drawn in the coordinate plane. Point M has coordinates (13,9) and the midpoint of MN is the point (4.4). What are the coordinates of point N to be determined.

What is coordinate?

Coordinate, is represented as the values on the x - axis and y - axis of the graph

Let the coordinate of point N is (x, y).
Here, point M has coordinates (13,9) and the midpoint of MN is the point (4.4).

The Coordinate of the midpoint is given as,
(4 = (x + 13)/2, 4 = (y + 9 )/2)
(x = 8 - 13, y = 8 - 9)
(x = -5 , y = -1 )
Coordinate of point N is (x, y) = (-5, -1)

Thus, the required coordinate of the point N is (-5, -1).


Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

HELP! Anyone! PLEASE?!!!!!

Answers

Answer:

Congruent angles have the same angle and side measure. Thus angle Q is 47 degrees and PR is 9 cm.

Step-by-step explanation:

Q1- Write 46 821 correct to the nearest 100

Answers

Answer:

46800

Step-by-step explanation:

46821 nearest 100s

look for the tens it is less than 5 so its 800 and the numbers written before the 100s would remain the same

Find the missing number___:7 = 12:21
A. 3
B. 4
C 14
D 12​

Answers

Answer:

B. 4 would be your answer.

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

:)

Answer:

B. 4.

Step-by-step explanation:

Let the number be x then

x/7 = 12/21

Crossmultiply:

x = 7*12 / 21

x =  12 / 3 = 4.

My question is Joe has 10 marbles. Ken has fewer marbles than Joe. Which inequality represents the number of marbles m that Ken has?

Answers

Answer:

Brainleist plz I want to be 'Genius'

Step-by-step explanation:

let K be ken's number of marbles

K<10

Ken's number of marbles are fewer than Joe's number of marbles

Answer:

x <10

Step-by-step explanation:

Ken = x

Joe = 10

because  Ken has fewer marbles than Joe and Joe has 10

x <10

Which equation represents a quadratic relation?

a) y = 4x^2

b) y = 4x

c) y = 4x + 4

d) y = x^3

Answers

Answer:

a) y = 4x^2

Step-by-step explanation:

Because in a) y = 4x^2 the degree of equation is 2.

please help me. how would you change x + 3y = 18 -3x -12y = -75 to eliminate y showing all of the work

Answers

Answer:

x = -3

y = 7

Step-by-step explanation:

x + 3y = 18

-3x - 12y = -75

multiply first equation by 4

4 × (x + 3y) = 18 ➡ 4x + 12y = 72

now add the two equations up

4x + 12y - 3x -12y = 72 - 75 (-12y will eliminate 12y)

x = -3

Show your work please.

Answers

Answer:

X=83°

Step-by-step explanation:

we use cosine law

(8²+16²-17²)÷(2×16×8)=cosC

0.121=cosC

we use cosine inverse to find an angle

cosine^-1 0.121= 83°

can someone please help me?

Answers

Answer:

A: X=1

Step-by-step explanation:

If DE=2, and E to C is of the same line but is less than half of DE, it has to be the smallest number possible. 6(1)-8=-2

Find simple interest to the nearest cent for each principle, rate, and time. I= Prt. $1200, 3.9%, 2 years 6 months.

Answers

Answer:

117.00

Step-by-step explanation:

I = prt  where i is the interest , p is the principal r is the rate and t is the time in years

2 years 6 months is 2.5 years

I = 1200 * .039* 2.5

I =117

10] James is about to paint the walls of his lounge. The lounge has 4 walls (2 x Wall A and 2 x Wall B). Wall A and wall B which has a square window of side 1.0m, are shown below:
Wall A Wall B
3.0m
4.0m
5.0m
A can of paint advertises coverage of 4.5 m2. How much paint will James require?

Answers

Answer:

4 or 5

Step-by-step explanation:

A population of 17500 has
5000 children under the age of 10. What is the fraction, in its simplest form, of children under 10?

Answers

Answer:

2/7

Step-by-step explanation:

Fraction of children under 10 = 5000 / 17500 (without being simplified).

we can then simplify it to:

50 / 175 = 10/35 = 2/7

Hope this helps.

Please mark brainiest

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

So we know there is a population of 17,500 and 5000 are children under the age of 10. We  want to find the the fraction of the children under 10 over the total population in it's simplest form so,

[tex]\frac{5000}{17500} =\frac{500}{1750} =\frac{50}{175}=\frac{2}{7}[/tex]

I win £300 on a scratchcard and decide to share my winnings with my two friends Peter and Mary. Peter has 3 shares, Mary has 5 shares and I have 2 shares. How much does Mary receive?

Answers

Answer:

Step-by-step explanation:

3+5+2=10

3/10 x 300=£90

3/10 x300=£150

2/10 x300=£60

Mary receives £150

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer:

The answer is 6x^2+9x-15

Answer:

6x^2 + 9x -15x

Step-by-step explanation:

This may seem hard, but it is actually very simple.

When you think of area, you think of multiplying.

The equation for this rectangle is: 3(2x^2+3x-5)

Why is 3(2x^2+3x-5) the equation?

You are basically multiplying the height (3) and all the widths (2x^2, 3x, and -5)

3 x 2x^2 is 6x^2.

3 x 3x is 9x (3 x 3 = 9)

-5 x 3x is -15x (5 x 3 = 15, plus the negative sign)

Now, you will combine the answers and get 6x^2 + 9x -15x

HELP ME Please i struggle with this

Answers

Answer:if you are looking for the hypotenuse use Pythagoras theorem 17.2047

Step-by-step explanation:square both the base and height .Add their total then find the square root

Find the inverse of function f. f(x)=1/3 x-2

Answers

Answer:

the inverse is f^-1(x)=3x+6

Step-by-step explanation:

I really need help with this asap! thank you so much!

Answers

Answer:

Center → (1, -3)

Radius → 5 units

Step-by-step explanation:

Equation of the given circle is,

x² + y² - 2x + 6y - 15 = 0

Now convert this equation into the standard equation of the circle

x² - 2x + y² + 6y - 15 = 0

x² -2x + 1 - 1 + y² + 2(3)(y) + 9 - 9 - 15 = 0

(x² - 2x + 1) - 1 + (y² + 2(3y) + 9) - 9 - 15 = 0

(x - 1)² + (y + 3)² - 10 - 15 = 0

(x - 1)² + (y + 3)² = 25

(x - 1)² + (y + 3)² = 5²

By comparing this equation with the standard equation of the circle,

(x - h)²+ (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

Center of the circle → (1, -3)

Radius of the circle → 5 units

What is the value of x in the equation ? 2.5(6x-4)=10+4(1.5+0.5x)
1/3
1/2
2
13

Answers

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2

The length of a rectangle is two more than three times its width. If the perimeter of the rectangle is 60 m, find its length and width.

Answers

Answer:

The length and width of the rectangle are 23 m and 7 m respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 60 m

L (length of the rectangle) = 2 + 3W. W is the width of the rectangle

Therefore, L = 2 + 3W

P = 2L + 2W

60 = 2(2 + 3W) + 2W

60 = 4 + 6W + 2W

60 - 4 = 8W

56 = 8W

W = 56/8 = 7 m

L = 2 + 3W = 2 + 3(7) = 2 + 21 = 23 m

L = 23 m

W = 7 m

If y is directly proportional to x and y = 5 when x = 2, find the value of y when
x = 7​

Answers

Answer:

I think that y=17.5 when x=7

If a*b*c=1197, find the value of c when a=21 and b=3 Note that * = Multiplication. 1 point a. 19 b.13 c. 9 d. 2

Answers

Answer:

hi

Step-by-step explanation:

srry

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