In the function f(x) = (x^2 -6x + ___) + 20, what number belongs in the blank to complete the square?

Answers

Answer 1

Answer:

blank = -11

Step-by-step explanation:

The given function is :

[tex]f(x) = (x^2 -6x+x)+20[/tex]

We need to find the number x such that it forms the complete square.

If x = -11, then it will becomes,

[tex]f(x) = (x^2 -6x+(-11))+20\\\\f(x)=x^2-6x+9[/tex]

We can write it as follows :

[tex]f(x)=x^2-2(1)(3x)+(3)^2[/tex] ..(1)

We know that,

[tex](a-b)^2=a^2-2ab+b^2[/tex] ...(2)

Comparing (1) and (2).

[tex]f(x)=(x-3)^2[/tex]

So, if we put the blank equals -11, then it will become the perfect square.


Related Questions

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

Answers

Answer:

12 months time

Step-by-step explanation:

To find this, we simply find the lowest common multiple of the two months

Mathematically, we have the lowest common multiple of 4 and 6 as 12

Thus, the time they would have the appointment together is the simply 12 months

Answer:

12 months

Step-by-step explanation:

LCM= 2 I4,6

              2,3

           

LCM=12

pls mark as brainliest

can someone help out ?? question is "The cost of Caroline’s cell phone plan is shown below in the table. What is the equation that best represents the the total cost, y, after x number of months?

Answers

Answer:

y = 32x

We notice that we multiply the number of months by 32

Determine if the two triangles are congruent and write the conjecture.
pls help

Answers

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

help please its timed

Answers

Answer:

C -2 2

Step-by-step explanation:

If the scale is 1 cm : 8 in,

the length of a table is 9cm, what's the length of the real table?

The height of the real table is 48 in. What is the height of the table in the scale model?

Answers

Answer:

Length of real table: 72 in

Height of scale moble table: 6 cm.

Step-by-step explanation:

Multiply the 9 cm by 8 to get the scale to full size and divide the 48 by 8 to get the scale size.

Diego saw a movie that was 1 hour and 40 minutes long. The movie ended at 2:30. What time did the movie start?
А
12:50
B
1:00
с
1:50
D
4:10?

Answers

I think the answer is D

Answer: A

Step-by-step explanation: It can't start at 4:10 because it ended at 2:30. It cant be 1:50 because it would ended a few hours ago. If you we're stuck with B and A then good job. It can't be 1:00 because the movie would of ended 10 minutes later. So in this cause the answer is A.                                        

                                                                                         Hope this helped!!!

If a quadrilateral is a square, then it is a rhombus (True or False)

Answers

Answer:

true

Step-by-step explanation:

because the sequare has 4 congruent sides

AHHHHHHHHHHHHH TYSM!!!,!❤️❤️❤️❤️❤️❤️❤️❤️❤️✨✨✨✨✨✨✨✨✨

Answers

Answer:

What is this?

Step-by-step explanation:

I’ll give brainlest if it’s right Evaluate the expression when y = 5.
3+ y + 6
09
O 14
O 19
0 21

Answers

14. 3+5+6=14 i think

Help me please with This no need to explain

Answers

The answer your looking for is D

Answer:

215

Step-by-step explanation:


Which statement concerning the set of all integers is true?
A The product of two integers with the same sign is negative
B. The product of two integers with different signs is negative
C The quotient of two integers with different signs is positive.
D. The quotient of two integers with the same sign is negative

Answers

It is A I think I did the test

Answer:

Step-by-step explanation: the anwser is D

Find the measure of angle A.
1+ 38
x + 68
A) 30°
C) 26°
B) 35°
D) 60°

Answers

Answer:

b

Step-by-step explanation:

b

f(x) = -x^2+10x - 17

Answers

Answer:

theres a graph with the vertex values if that's what you were looking for

Step-by-step explanation:

i need help ((( ' : ooooooooooooooooooooooooooof heh sorry needed 20 words smh

Answers

Answer:

C 22

Step-by-step explanation:

equation is 2(pie)r

so yeah solve by using 2(3.14)3.5

:)

LIFE

I wonder what it's all about, and why
We suffer so, when little things go wrong?
We make our life a struggle,
When life should be a song.

Our troubles break and drench us,
Like spray on the cleaving prow
Of some trim Gloucester schooner.
As it dips in a graceful bow.

Our troubles break and drench us
But like that cleaving prow,
The wind will fan and drys us.
And we'll watch come other bow.

But why does sorrow drench us
When our fellow passes on?
We just exchanged life's dreary dirge
For an eternal life of song.

What is the inborn human trait
That frowns on a life of song?
That makes us weep at the journey's end,
When the journey was oft-times wrong?

Weep when we reach the door
That opens to let us in,
And brings to us eternal peace.
As it closes again in sin.

Millions have gone before us,
And millions will come behind.
So why do we fight
At a fate both wise and kind.

We hang into a jaded life
A life full of sorrow and pain.
A life that warps and breaks us,
And we try to run through it again and again.​

Answers

Answer:

nice poem

Step-by-step explanation:

Girls and Boys are at a party in the ratio 3:4. 9 girls leave and the ratio is now 1:2. How many
boys are at the party?

Answers

Answer:

There are 36 boys at the party

Step-by-step explanation:

Brainliest please

Answer:

36 BOYS

Step-by-step explanation:

I HOPE IT HELPS :)

PLEASE PLEASE HOW MANY TIMES CAN I SAY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer like
Answer 1.___________
Answer 2.___________
Answer 3.___________
Answer 4.___________
Answer 5.___________

Answers

1. C
2. A
3. B
4. D
6. B
I think these are right

The ratio of purple blocks to green blocks in a bucket is 6:21. Which answer indicates an equivalent ratio?

Answers

You didn’t put the answer choices but your answer is probably 1:3

Because both numbers are divisible by 6.

6/6=1
21/6=3

I don’t get it please can I have help :)

Answers

7^2 x cube root 7
= 7^2 x 7^1/3
= 7^2+1/3
= 7^7/3

Answer:

[tex] {7}^{2} \times \sqrt[3]{7}\\ = {7}^{2} \times {7}^{ \frac{1}{3} } \\ = {7}^{(2 + \frac{1}{3}) } \\ = {7}^{ \frac{(6 + 1)}{3}} \\ = \boxed{{7}^{ \frac{7}{3}}}✓[/tex]

7⁷/³ is the right answer.

It costs $15.50 per hour to rent a scooter and $22.80 per hour to rent a watercraft. Use the expression 15.5s + 22.8w to determine how much it would cost to rent a scooter for 3.5 hours and a watercraft for 1.75 hours.

Answers

Answer:

94.15

Step-by-step explanation:

15.5 x 3.5=  54.25

22.8 x 1.75=  39.9

54.25+39.9=94.15

Mrs. Little made coffee each day on her 10 day family vacation. The following line plot shows the amount of cups of coffee her family drank each day. Solve to find the total amount of coffee the family drank each day. Mrs. Little made ____ cups of coffee.

Answers

Answer:

there isnt a lin plot srry

Step-by-step explanation:

Answer:

9x2=18

10x1=10

11x2=22

12x1=12

13x1=13

14x2=28

ok so now 18+10+22+12+13+28

28+34+41=103

Step-by-step explanation:

HURRY WILL MARK YOU BRAINLIEST

Answers

Answer:

we have:

x + 4 + x + 6 + x + 2 + x + 18 + x = 180.3

<=> 5x + 30 = 540

<=> 5x = 520

<=> x = 104

we also have: m<5 + x = 180

<=> m<5 = 180 - 104

<=> m<5 = 76

(1/4)^{5/2}
pls help

Answers

Answer:

5/8

Step-by-step explanation:

Do it your self loser

Solve for y. 1/4y+3=-5x

Answers

Answer:

y=-20x-12

Step-by-step explanation:

Monica deposits ​$200 into a savings account that pays a simple interest rate of 3.9​%. Paul deposits ​$300 into a savings account that pays a simple interest rate of 3.2​%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer: No, Monica is incorrect.  Paul will get more interest in 1 year.

Step-by-step explanation:

Formula: Simple interest : [tex]\dfrac{\text{principal x rate x time}}{100}[/tex]

Given: For Monica, Principal =$200, rate = 3.9%

Interest in 1 year = [tex]\dfrac{200\times3.9\times1}{100}=\$7.8[/tex]

For Paul, Principal =$300, rate = 3.2%

Interest in 1 year = [tex]\dfrac{300\times3.2\times1}{100}=\$9.6 > \$7.8[/tex]

Thus , Paul will get more interest in 1 year.

i.e. Monica is incorrect.

please answer! Marbles in a bag are black, green, and purple. The ratio of black to green to purple is 2:5:8. What is the probability of getting a green?

Answers

Answer:

1/3

Step-by-step explanation:

Probability= expected/favored outcomes/total outcomes

there are 5 green marbles, and 15 in total.

So:

5 green (what we want) / 15 total

5/15 can simplify to:

1/3

What is the measurement of the unknown angle?
70°
2
127
146°

Answers

Answer:

Where's the picture of it?

Using numbers 3 4 5 and 6 write an even number between 5500 and 5700 using each digit only once

Answers

The answer would be 5634

please help me solve this

Answers

Answer:

250 divided by 12 is 20.888 but you round that and its 21 so the food will last aboit 21 days

5a. For each quantity, decide whether circumference or area would be
needed to calculate it. Explain or show your reasoning. The distance around
a circular track.

Answers

May be able to get the most from the first time since I've been using this method for producing an excellent job and the other hand, the first thing I noticed.
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