Complete the expression so that it forms a perfect square binomial- 3x^2+18x

Answers

Answer 1

Answer:

-3x²+18x-27

Step-by-step explanation:

Given :

-3X²+18x

perfect square : (a+b)²=a² + 2ab + b²

[tex]\frac{-3x^{2} }{-3} +\frac{18x}{-3} ... something else[/tex] divide by -3 to have just a² type

x² -6x ...and something

compare with the perfect squere formula and we know a² is x² , a is x, so second term is 2xb and is -6x so b= -3

x²-6x+9 = (x-3)²

if you reverse and multiply by (-3) we have

-3x²+18x-27


Related Questions

Find the equation of the linear function represented by the table below in slope intercept form

Answers

Answer:

the slope is "1"

the y-intercept is "5"

y = x + 5

Step-by-step explanation:

In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):

slope = (y2-y1) / (x2 - x1)

in our case:

slope = (8 - 6) / (3 - 1) = 2/2 = 1

then the slope is "1".

Now we write the general "slope-intercept" equation of a line using the slope we found:

y = m x + b

y = 1 x + b

and now use one of the points (for example (3, 8) to find the intercept "b":

(8) = 1 (3) + b

8 - 3 = b

b = 5 (y intercept)

Then the equation of the line can be written as:

y = x + 5

A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.

Answers

Answer:

The equation of the line in the slope-intercept form is y = -5x + 79

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept

∵ The slope of the line is -5

m = -5

∵ The form of the equation is y = m x + b

→ Substitute the values of m in the form of the equation

y = -5x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (18, -11)

x = 18 and y = -11

∵ -11 = -5(18) + b

∴ -11 = -90 + b

→ Add 90 to both sides to find b

∵ -11 + 90 = -90 + 90 + b

79 = b

→ Substitute it in the equation

y = -5x + 79

The equation of the line in the slope-intercept form is y = -5x + 79

PLS HELP!!!! ASAP
Give an example of like terms and an example of unlike terms. Which of these are like terms and which are unlike terms 3x, 2x, 4y, 7z?

Answers

Answer:

PLS HELP!!!! ASAP

Like terms 3x, 2x

Different terms 4y, 7z

Step-by-step explanation:

Example similar terms

3x + x = 5x

Example different terms

4 years + 7z

Nolan feeds 6 carrots equally to 3 rabbits how many carrots dose each rabbits get

Answers

Answer:

2 carrots

Step-by-step explanation:

because if you have  3 rabbits and 6 carrots you have to to do 3x2 and it equals 6 and u can do it backwards 6/3 equals 2 so 2 is your answer.

What is the volume, in cubic centimeters, of a cylinder with a height of 20 centimeters and a base radius of 5 centimeters, to the nearest tenths place?

Answers

v = pi * r^2 * h
v = pi * 5^2 * 20
v = pi * (25)(20)
v = 500 * pi
v = 1570.8

hope this helps! :)

Answer: 51570.8

Step-by-step explanation:

For f(x) = -4x+2 find f(x) when x = -1 A. -2. B. 6 C. -4 D. 2

Answers

Answer:

The answer is letter B which is 6.

f(x) = -4x+2

f(x)=-4(-1)+2

f(x)=4+2

f(x)=6

(6*3 Square root ÷9=​

Answers

So 6*3 is 18
The square root of 9 is 3
18/3 is 6
Answer is 6
Hope I helped:)

Solve the following system of equations using SUBSTITUTION.
y = 3x
3x + 2y = 12
PLEASE EXPLAIN!! :)

Answers

Step-by-step explanation:

y = 3x_______equation1

3x + 2y = 12_____equation2

sub y into equation 2

3x+2(3x)=12

3x+6x=12

9x=12

x=3/4

sub X into equation 1

y=3x

y=3(3/4)

y=9/4

y=9/4 x=3/4

I hope this helps

6x² – x=2
Factor and solve

Answers

Answer:

x=2/3 or x=−1/2

Step-by-step explanation:

6x²−x=2

6x²−x−2=2−2

6x²−x−2=0

(3x−2)(2x+1)=0

3x−2=0 or 2x+1=0

x=2/3 or x=−1/2

How do I factor this?

Answers

Answer:

3y(4y - 1)²

General Formulas and Concepts:

Alg I

Factoring

Step-by-step explanation:

Step 1: Define expression

48y³ - 24y² + 3y

Step 2: Simplify

Factor GCF:                    3(16y³ - 6y² + 3y)Factor GCF:                    3y(16y² - 6y + 3)Factor trinomial:             3y(4y - 1)(4y - 1)Rewrite:                           3y(4y - 1)²

What is the angle of elevation?

Answers

Answer:

Step-by-step explanation:

tan x° = [tex]\frac{3}{4}[/tex] ⇒ ≈ 36.87° ≈ 36.9°

Can someone please help me solve this with showing work
Evaluate the following expressions
r=315 and t= -2:5 r/5 -10t

Answers

We substitute the numbers first.

(315)/5 - 10(-2^5)

Divide and do the exponent.

70 - 10(-32)

Now multiply 10(-32)

70 - (-320)

Double negative turns to positive.

390

Simplify the following expression (3x-5)(4-9x)+(2x+1)(6x^2+5)

Answers

Expand out the brackets and simplify, largest indices first.
12x³-21x²+67x+30

Find the value of x in the triangle shown below.
X=?

Answers

Answer:

x = 74

Step-by-step explanation:

180 = x + x + 32

180 - 32 = 2x

148 = 2x

x = 148 / 2

x = 74

PLEASE ANSWER THESE I'M NOT SURE HOW TO DO IT TYSMMMMM

Answers

Answer:

your answer is 234

Step-by-step explanation:

The total degree inside the triangle is 360.

Add 104 and 22 to gt 126, and subtract from 360 to get the angle value of x, which is 234 degrees.

HELP I NEED TO TURN THIS IN SOON!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

1. 2

2.6

3. 28

4. -10

Step-by-step explanation:

hope this helps

h(x) = x2 + 3x – 2; 12 - h(7)10​

Answers

Answer:

2x + -10 = 10 + -3x

Reorder the terms:

-10 + 2x = 10 + -3x

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

hope dis helps <3

Which statement is not one of the axioms of Euclidean geometry?

A. If two points lie in space, there is only one line that can pass through them.

B. If three points lie on the same line, there is only one plane that can pass through them.

C. If two points lie on a plane, the line containing them also lies on the plane.

D. If two planes intersect, their intersection is a line.​

Answers

Remember if u wanna have a tutor to help u go for it. But this answer is tricky so someone else should do it cause I can’t.

Answer:

B. if three points lie on the same line there is only one plane that can pass through them.

Step-by-step explanation:

When Elena makes bird food, she usually mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same. Select the correct amount of seeds and syrup. *

Answers

Answer:3 cups of seeds and 2 tablespoons of maple syrup

-OR-

6 cups of seeds and 4 tablespoons of maple syrup

Step-by-step explanation:

As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

Answer:

I don't quite know how much Elena has in bird food but here is what you can do: If Elena has for example 6 cups of seeds then she will need 3 cups of maple syrup I think. 9-6=3 which is the difference that Elena needs to make her bird food. I hope this helps!

Answer this please!!!!! Will mark.

Answers

Answer:

4.75

Step-by-step explanation:

u×t=5 +1/2×-2×1/2²

Hey, here is ur answer:

_________________________________________

s = (10 x[tex]\frac{1}{2\\}[/tex]) + ([tex]\frac{1}{2}[/tex]x- 2x [tex]\frac{1}{2\\}[/tex]²)

5 + (-0.25)

= 4.75

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

Hope this helped

Stay happy nd safe

:D

(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?

Answers

Answer:

f(3)= 4

Step-by-step explanation:

x= -3=0

x= 3

f(3)=(3+3)-2

f(3)= 6-2

f(3)= 4

Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me

Answers

Refer to question: https://brainly.com/question/18999872

Answer:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

(−6x − 11) − (−2x − 4)

Answers

I’m not sure exactly you wanted but if you wanted to combine like terms it’s -4x-7

Answer:

EVALUATE

−8x−7

EXPAND

−8x−7

Step-by-step explanation:

SOLUTION STEPS

(−6x−11)−(2x−4)

To find the opposite of 2x−4, find the opposite of each term.

−6x−11−2x−(−4)

The opposite of −4 is 4.

−6x−11−2x+4

Combine −6x and −2x to get −8x.

−8x−11+4

Add −11 and 4 to get −7.

−8x−7

What's the degree of the polynomial? P(x)= 7x^7+2x^5+7x+7

Answers

Answer:

7

General Formulas and Concepts:

Degree of Polynomial is determined by the highest power

Step-by-step explanation:

Step 1: Define function

P(x) = 7x⁷ + 2x⁵ + 7x + 7

Step 2: Identify

7x⁷ is the largest term.

Has the highest powerTherefore, highest degree

which of the following number is divisible by both 2 and 3​

Answers

Answer:

6, 12, 18,

Step-by-step explanation:

u didn't said the numbers but here is the explanation

6÷2=3

6÷3=2

12÷3=4

12÷2=6

18÷2=9

18÷3=6

6 divided by 2 is linda weird cus i del know bro

it costs 13$ for admission to amusement park, plus 1.50$ for each ride.if you have a total of 35.50 to spend, what is the greatest number of rides you can go on

Answers

Answer:

Thus, the greatest number of rides I can go on is 15 rides

Step-by-step explanation:

I have $35.50 to spend for admission plus rides in the amusement park.

Admission costs $13. That leaves me with

$35.50 - $13 = $22.50

to spend on rides.

Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:

$22.50 / $1.50 = 15

Thus, the greatest number of rides I can go on is 15 rides

Alex earned $75 mowing lawns. He decided to put $25
into saving and spent $29.99 on a new shirt. He wants
to buy socks for $6.25 per pair. What is the maximum
number of pairs of socks he can buy?

Answers

Answer:

Alex can buy "3" socks

Step-by-step explanation:

75- 25 =50

50- 29.99 = 20.01

20.01/ 6.26= 3.02

Since you can't get a portion of a sock you just take the first number (which is 3). Therefore, Alex can only buy three socks.  

JJ is paid $1000 per month plus 8% commission on all he sells. He sold $15,000 last month. What was he paid in total?​

Answers

Answer:

15000+1000=16000

Step-by-step explanation:

rewrite 8x8x8 using an exponent

Answers

8(3) the 3 is the exponent

The exponential form of the given number 8x8x8 is 8³.

What is exponential form?

The exponential form is a way of writing numbers using bases and powers. It tells us how many times are we actually multiplying a number to get the result.

Given is a number, 8x8x8,

As we know,

a×a×a××a×a×a×a×a×a...... n times = aⁿ

The number 8 is multiplied by itself 3 times, so, it will have a power of 3,

Therefore, 8x8x8 = 8³

Hence, the exponential form of the given number 8x8x8 is 8³.

Learn more about exponential form, click;

https://brainly.com/question/29287497

#SPJ2

OMG CAN ANYBODY HELP ME OUT WITH HIS!?!?!?!? I NEED IT PLEASE I WILL GIVE BRAINLIEST IF ITS RIGHTTTT

Answers

Answer:

I would say C

Step-by-step explanation:

Hope I helped

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