The product (2y - 6)² of the algebraic expression gives 4y² - 24y + 36
How to find the product (2y - 6)²?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
The product (2y - 6)² can be written as:
(2y - 6)² = (2y - 6)(2y - 6) (clear the parenthesis)
= 2y(2y - 6) -6(2y - 6)
= 4y² - 12y - 12y + 36
= 4y² - 24y + 36
Learn more about algebraic expressions on:
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HELP ME PLS I REALLY NEEDD HELP!!!! MATH IS HORRIBLE
pls number them like
1.
2
3.
4.
5.
help!
lol
Answer:
Question 1
Option 2 is the correct answer
y = x - 55/ x=255
Question 2:
Last option is the correct answer
n = b + 2/ b= 5
Step-by-step explanation:
Question 1
The given information can be framed into the Mathematical form as given below:
No of cards = x
Cards given to brother = 55
Remaining cards = x - 55
Total number of cards = y
y = x - 55
Plug y = 200
200 = x - 55
20. + 55 = x
x = 255
y = x - 55/ x = 255
Question 2:
Total number of shirts bought
n = b + 2
Plug n = 7
7 = b + 2
7 - 2 = b
b = 5
n = b + 2/ b = 5
Please help me I will give you the brain thing and extra points please.
Which side lengths represent the sides of a right triangle?
A)1, 1, 2
B)2, 3, 5
C)3, 4, 5
D)5, 11, 13
Alexander's football team scored 34 points in their last game. They scored 14 points during the first quarter, 3 points in the second quarter and 7 points in the third quarter. How many points did they score in the fourth quarter?
Answer:
17!
Step-by-step explanation:
34 points in total:
14 + 3 in 1st and 2nd and 3rd which is 17
and so they scored about 27 points in the fourth
Kam is trying to find the solution to the system below. Her steps are below as well.
What did kam do wrong?
Answer:
Step 4
Step-by-step explanation:
In step 4, instead of adding 22 to both sides of the equation to combine like terms, Kam got rid of it completely. Starting from step 3, here is the correct way of solving it:
[tex]7x-22=18[/tex]
Add 22 to both sides
[tex]7x-22+22=18+22\\7x=40[/tex]
Divide both sides by 7 to isolate x
[tex]\frac{7x}{7}=\frac{40}{7} \\x=\frac{40}{7}[/tex]
I hope this helps!
Answer:
In step 4, she forgot to add 22 to 18
Step-by-step explanation:
In step 4, she forgot to add 22 to 18
It should've been:
7x = 40
x = 40/7
3 (40/7) + 2y = 18
120/7 + 2y = 18
2y = 18 - 120/7
2y = 6/7
y = 3/7
A window in the shape of a parallelogram has the dimensions given.
What is the area of this window?
20 ft²
24 ft²
28 ft²
40 ft²
i'll give brainlyist
Answer:
The answer is c, 28 ft! brainliest pls lol
Answer:
20ft
Step-by-step explanation:
I did the quiz and got it right :> (K12)
The present age of the father and his son is 32 years and 7 years respectively.
7
Find how many years ago the product of their age was 116.
product of the present age of their
Answer:
ok so im so confused but like you know i tried and i got this:
X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.
(32 - x)(7 - x) = 116
(x - 32)(x - 7) = 116
x^2 - 39x + 224 = 116
x^2 - 39x + 108 = 0
(x - 3)(x - 36) = 0
x = 3, 36
But (32 - x) > 0, so x does not equal to 36.
x = 3
3 years ago, the father would be 29 years old, and the son 4 years old.
i know it sounds crazy but i think its wrong lol
Four friends aré baking bread they equally share 3 sticks if butter which expression can he usted yo find then fracción of a stick of butter that each friends uses
Answer:
Each friend uses 3/4 of a stick of butter
expand and simplify 5(2-1)+2(3x-6)
Answer:
6x-7
Step-by-step explanation:
Answer:
[tex]6x - 7[/tex]
Step-by-step explanation:
1) Simplify 2-1 to 1.
[tex]5 \times 1 + 2(3x - 6)[/tex]
2) Simplify 5 × 1 to 5.
[tex]5 + 2(3x - 6)[/tex]
3) Expand by distributing terms
[tex]5 + 6x - 12[/tex]
4) Collect like terms.
[tex]6x + (5 - 12)[/tex]
5) Simplify.
[tex]6x - 7[/tex]
So, therefor, the answer is 6x - 7.
Ursula scored 8 points in the second half of her basketball game. In total, she scored 32 points during the entire game. Click on the equation that can be used to determine how many points, p, Ursula scored in the first half of the game.
Answer:
.
Step-by-step explanation:
.
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
Which statement is true?
The function is decreasing, and the maximum of the function is located at
(
0
,
5
)
.
The function is decreasing, and the maximum of the function is located at ( 0 , 5 ) .
The function is decreasing, and the minimum of the function is located at
(
0
,
5
)
.
The function is decreasing, and the minimum of the function is located at ( 0 , 5 ) .
The function is increasing, and the maximum of the function is located at
(
0
,
5
)
.
The function is increasing, and the maximum of the function is located at ( 0 , 5 ) .
The function is increasing, and the minimum of the function is located at
(
0
,
5
)
.
A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.
A. Banana to grape
B. Strawberry to orange
Answer:
A. Banana to grape this should be right
whats the scale factor
Answer:
2 1/12
Hope that helps!
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
What does it mean to reason mathematically?
work out
a. 1 (meaning whole number) 1/5 + 3 (whole number) 2/5
b. 4 (whole number) 1/2 - 1 (whole number) 1/3
Answer:
4
Step-by-step explanation:
hbjhb
What is b in the equation 15 + b = 23?
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
please hlelp meeeeeeeeeeeeee i need help
Answer:
3/4
Step-by-step explanation:
Total number of cases = 8 [1,2,4,2,5,3,1,2]
No. of number less than 4 = 6 [1,2,2,3,1,2]
Probability = 6/8 = 3/4
Answer: 75%
Step-by-step explanation:
Well there are 8 possibilities every time you spin. The chance is 6/8 that you land on a number less than 4, if you spin it once (since 6 out of the 8 possibilities are less than 4). So you just have to divide 6/8 which is 0.75. Multiply by 100 (move the decimal over 2 times to the right) to get the percentage which is 75%.
hello help please i’ll mark brainliest!!!
Answer:
Its is 1,3,4
Step-by-step explanation:
Mark me brainliest please <3
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 25 years.
Answer:
15,600,000
Step-by-step explanation:
We start with our initial population of 600,000. Then multiply that with the rate of 4% (0.04 in decimal, or 1.04 so that the 0.04 is automatically added to the 600,000.)
600,000 · 1.04y = projected populationy = 25600,000 · 1.04(25) = projected populationsimplify!15,600,000 = proejcted populationUse the distributive property to rewrite the expression 5(4x. + 7)
Answer: The answer is 20x + 35
Step-by-step explanation: 5(4x+7) You multiply 5 in both numbers and you get 20x+35
Answer: 20x+35
Step-by-step explanation:
Multiply both terms in the parenthesis by 5. 4x times 5 is equal to 20x, and 7 times 5 is equal to 35.
If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.
Answer:
Here OP bisect ∠BOC
∴∠POC=∠BOP …………(i)
and OQ bisect ∠AOC
∴∠AOQ=∠COQ …………….(ii)
and ∠AOB=180
o
[∵AOB is a straight line]
⇒∠BOP+∠DOC+∠COQ+∠AOQ=180
o
⇒∠POC+∠POC+∠COQ+∠COQ=180
o
[using (i) & (ii)]
⇒2∠POC+2∠COQ=480
o
⇒2(∠POC+∠COQ)=180
o
⇒2∠POQ=180
o
⇒∠POQ=90
o
.
Suppose the heights of the members of a population follow a normal
distribution. If the mean height of the population is 65 inches and the
standard deviation is 3 inches, 68% of the population will have a height within
which range?
A. 59 inches to 71 inches
B. 53 inches to 77 inches
C. 62 inches to 68 inches
D. 56 inches to 74 inches
Answer:
C; 62 to 68 inches
Step-by-step explanation:
Here, we want to get the population range that is having a probability of 68%
From the empirical rule, a measure of 1 standard deviation above the mean, with 1 standard deviation below the mean will give a total percentage of 68%
From the question;
1 standard deviation above the mean is 65 + 3 = 68
1 standard deviation below the mean is 65-3 = 62
so the range of the height of the population is 62 to 68 inches
Write a function in any form that would match the graph shown below.
PLEASE HELP
Answer:
f(x)=ax^3+bx^2+cx+d
it is a cubic function
Step-by-step explanation:
Shelby can type many words (w) in a minute (t). Which equation shows the number of words she can type in 5 minutes?
w=5t
w=t+5
w=t5
Answer:
w = 5t
Step-by-step explanation:
usually, numbers are written before the letters.
Answer:
you have your answer to this but hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
how are you
Pls awnser I'm stuck
can some help me pick the right answer for (9 + t) /12 = -3
45
-45
36
-36
Answer:
(9 + t)/12=-3
(9-45)/12
-36/12
= -3
answer = -45
Jordyn is weighing ingredients on a kitchen scale to make bread. The bowl weighs 1½ pounds. He adds several scoops of flour. The total weight of the bowl and the flour is 2¾ pounds. If each cup of flour weighs 5/16 pound, how many cups of flour does he add? Show your work.
Answer:
Weight of the flour = 5/4 pounds
Number of cups added = 4 cups
Step-by-step explanation:
Weight of the bowl = 1½ pounds
Total weight of the bowl and the flour = 2¾ pounds
Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl
= 2¾ pounds - 1½ pounds
= 11/4 - 3/2
= 11-6/4
= 5/4 pounds
Weight of the flour = 5/4 pounds
If each cup of flour weighs 5/16 pound, how many cups of flour does he add
Number of cups added = 5/4 ÷ 5/16
= 5/4 × 16/5
= (5*16)/(4*5)
= 80/20
= 4
Number of cups added = 4 cups
Rearrange x=3g+2 to make g the subject
Step-by-step explanation:
Given
x = 3g + 2
Making g as a subject then
3g = x - 2
g = ( x - 2 ) / 3
Hope it will help :)❤
Answer:
g=(x-2)/3
Step-by-step explanation:
someone help please!
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )