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
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Decide which of the two points lies on the graph of the line.
1. X + Y = 8
A. (2,4) B. (2,6)
2. X = 4
A.(4,2) B. (2,4)
3. Y = X - 2
A. (4,6) B. (6,4)
Answers:
B) (2,6)A) (4,2)B) (6,4)===========================================
Explanations:
For this problem, the x and y coordinates must add to 8. In choice A, we have x+y = 2+4 = 6, which doesn't work. But choice B does work since x+y = 2+6 = 8. Therefore, the point (2,6) is located on the line x+y = 8. The equation x+y = 8 is equivalent to y = -x+8.The x coordinate must be equal to 4. The y coordinate can be anything you want. The point (4,2) is on this line, while (2,4) is not. Another point on this line is (4,1). The line is completely vertical.If we plugged the x & y coordinates of choice A into the equation, we get 6 = 4-2 which then becomes 6 = 2 and that's a false statement. That rules out choice A. If we try choice B, then we get 4 = 6-2 which becomes 4 = 4. We get a true statement so choice B is the answer.What would x be 3(x-5)=12
Answer:
x=9
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Answer: x=9
Step-by-step explan
I need the answer ASAP
GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.
The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 106 )
Let the second point be Q ( 6 , 187 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 187 - 106 ) / 3
Slope m = 27
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 106 = 27 ( x - 3 )
y - 106 = 27x - 81
Adding 106 on both sides , we get
y = 27x + 25 be equation (1)
Now , let the equation of line be represented as B
And , the value of B is
Let the first point be R ( 3 , 105 )
Let the second point be S ( 6 , 165 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 165 - 105 ) / 3
Slope m = 20
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 105 = 20 ( x - 3 )
y - 105 = 20x - 60
Adding 105 on both sides , we get
y = 20x + 45 be equation (2)
Now , when x = 1
Substitute the value of x = 1 in equation (1) and equation (2) , we get
y₁ = 27 + 25 = $ 52
y₂ = 20 + 45 = $ 65
So , health club B costs $ 7 less than health club A every month
Hence , the equation of lines is solved
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Rafael drops a ball from the third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t² + 45
When is the ball at ground level?
Answer:
3 seconds is when it will be at ground level.
Step-by-step explanation:
I'll explain it tmr, just reply if you want me to explain.
13 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
A. Similar; congruent angles
Step-by-step explanation:
Answer:
The first statement is true because they have congruent angles.
The side length does not matter here because it's useless unless you're trying to find the perimiter of a triangle, which has a completely different algorithm. It is called the Pythagorem Theorum. I just learned the Pythagorem Theorum last class, and it isn't too difficult once you get the hang of it. Wow I went off course. Anyways I hope this helps!
Step-by-step explanation:
Maya runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?
Answer:
63 mins
Step-by-step explanation:
84 mins ÷ 8 miles = 10.5 mins per mile
6 miles × 10.5 mins = 63 mins
need help asap will give brainly
how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?
Answer:
100 small rectangles
Step-by-step explanation:
Number of small rectangles = Area of large rectangle ÷ area of small rectangle
[tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]
circle O has a circumference of 88piecm.
what is the length of the radius of the circle
Answer:
radius = 9.38 cm or 7(sq rt 2) cm
Step-by-step explanation:
sq rt 88(Pi) = radius
radius = 9.38 cm or 7(sq rt 2) cm
The nth term of the sequence is n^2 + 20
How many terms in the sequence are less than 50
plss help!!
Answer: 5 terms.
Step-by-step explanation:
We know that the n-th term of a sequence is:
Aₙ = n² + 20
Where n can be any natural number, then n ∈ {1, 2, 3, ...}
We want to find how many terms are smaller than 50.
Then we could find the first value of n such that Aₙ is equal or larger than 50.
Then we can solve:
Aₙ = n² + 20 = 50
then:
n² = 50 - 20 = 30
n = √30 = 5.48
This is not a natural number, so we need to round to the next one that is n = 6
This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:
n = 1, 2, 3, 4, 5
Aₙ is smaller than 50
This means that there are 5 terms of the sequence that are smaller than 50.
Use similar triangles △EFG and △IHG to find the missing distance d
please help me i need it
Answer:
-27
Step-by-step explanation:
Draw a big X over the equal sign, then cross multiply the terms to get:
6(p) = 9(p+9)
Then you want to get p by itself.
Multiply the 9 out:6p = 9p+81Subtract 9p from both sides:-3p = 81Divide -3 both sides to get p by itself:p = -27Will give brainiest to correct answer with explanation
Suppose 9x + 12 donuts were sold on
Friday and 4x - 3 were sold on Saturday.
What is the total number of donuts sold?
Answer:
jesus is always the answer
Step-by-step explanation:
jesus jesus
Are 1/2x+3/4-5/8x-7/8 and 1/8(x+1) equivalent expressions? show your work.
No, 1/2x+3/4-5/8x-7/8 and 1/8(x+1) are not equivalent expressions.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 1/2 x+3/4-5/8 x-7/8
Now, 1/2 x-5/8 x+3/4-7/8
-1/8 x- 1/8
-1/8(x+1)
Therefore, the equivalent expression for the given expression is -1/8(x+1).
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Can some one please help me with this
Answer:
I think the answer is B. I hoped I helped a little
Plz help due tomorrow if correct ill give brailiest
Answer:
Division (Hope this helps)
Step-by-step explanation:
Which number line shows the solution to the inequality 3x + 6 > 9?
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4
Answer:
its number 3
Step-by-step explanation:
Someone please help me with this
I need help with this question
Answer:
In scientific notation is 1.10 7 and expanded 10000000
Can someone help me with this I don’t understand
Answer:
the fastest is 12 meters every 4 seconds
slowest is 8 meters every 6 seconds
Step-by-step explanation:
Nancy’s rectangular garden has a diagonal of 18.4 feet and a width of 7 feet. If she needs to paint the floor, how much area is she going to cover?
can someone help? i rlly need help thank u for anyone that helps ! :)
Answer:
i think one of them is
(-1,5) and (8,3)
Step-by-step explanation:
just count up how much is on both x and y axes and you'll get ur answer.
goodluck!
also, dont put my answer cuz im afraid u'll get it wrong cuz i tried my best, so jus wait untill someone else answers if u want <3
goodluck
PLEASE HELP ME
HAPPY FRIDAY!!!
Answer:
52.365
Step-by-step explanation:
53.715 + 51.3 + 52.62 = 157.635
210 - 157.635 = 52.365
How many intergers are between √15 and √68
Answer:
I think the answer is Four
Step-by-step explanation:
3.9-8= 4,5,6,7
a rate
12. A class of 60 is 30% girls. How many girls are there in the class?
b. 180
d. 18
a. 24
c. 240
Answer:
18
Step-by-step explanation:
30% of 60 is 18
Answer:
24 is the answer
Step-by-step explanation:
you can see in
Please help.
Algebra.
9514 1404 393
Answer:
8
Step-by-step explanation:
A system of linear equations has no solution when the equations describe parallel lines. Parallel lines have the same slope. In your equation, the slope is the x-coefficient, 8. A parallel line will have a slope of 8.
The second equation will have a slope of 8 if the system has no solution.
5-(-2)= helpppp pleaseee
Answer:
7
Step-by-step explanation:
5-(-2) equals 7
das the answer 7
Plzzzzzzz helppp i will give brainliest if right
Answer:
1.) 20 square inches
2.) 4.16
3.) (-1, -5) (2, -5)
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIST!
Jimmy wants to keep track of a friends college savings account and use slope intercept form to build a function, y = mx + b. What information will he need to know to accurately keep track of the account and create a function that will give the number of dollars in the account based on the number of months his friend will save money for college?
A. The initial amount of money use to start the account, and use that deposit for B
B. All of the above
C. The amount of money he will save each month, and use that for slips or m
D. The amount of months he will save money for a college, and use that amount of time for x
Answer: here is all the answers for assess it #70: day 122
1. F(x) = 225x + 45
2. F (x)= 7x - 105
3. the function would be a curved line if you were to graph it using intercepts or a simple function table
4. The x-intercept is (10,0)
5. All of the above