Bricks are stacked according to the pattern shown below.
Each row contains one more brick than the row above it.
Part A
Determine a quadratic function to model the total number of bricks in the stack,
f(x), given a number of rows, m.
Answers
Answer:
Part A
The Quadratic Function to model the total number of bricks the stack is f(x) = x²
Part B
The number of bricks we will have for 50 rows is 2500 bricks
Step-by-step explanation:
Part A
Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c
We have;
When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0
∴ c = 0
When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1
∴ a + b = 1...(1)
When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4
∴ 4·a + 2·b = 4...(2)
Multiply equation (1) by 2, and subtract it from equation (2) gives;
4·a + 2·b - 2×(a + b) = 4 - 2 × 1
2·a = 2
a = 1
From equation (1), we have;
b = 1 - a = 1 - 1 = 0
b = 0
∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²
Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²
Part B
If there are 50 rows in the stack, then we have, x = 50
Therefore;
f(50) = 50² = 2500
The number of bricks we will have for 50 rows is f(50) = 2500 bricks
(just found it on brainly)
Related Questions
Please help!What are the values of x and y? i’m so confused on this particular one.
Answers
-14. -14
X=2x-20
-2x -2x
-2x=-20
/-2 /-2
X=10
Y is also 10 because they are corresponding
What is 7/56 simplified
Answers
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
PLEASE HELP ASAP!!! HOW DO I DO THIS?
Answers
4.)The same rule is applied to this one because the bases (q) are the same variable, and the operation is division. q^2 / q^4 = q^2-4 = q^-2.
Now, we have a negative exponent, here’s what to do:
With a negative exponent, we picture a 1 under the q^-2, like this: q^-2 / 1. We can’t have a negative exponent. So, to get it of positive value, we move it down to where the 1 is. We then get: 1/q^2. We simply shifted it from the numerator to the denominator which cancels out the negative. Your answer is 1/q^2.
5.) 4^5 / 4^4 = 4^5-4 = 4^1 or just 4. This is because of the quotient property.
6.) (-3)^1 / (-3) ^1 = -3^1-1 = -3^0. Now we have an exponent of zero. Whenever you see an exponent to the value of zero, the whole entire base and exponent just becomes the whole number of 1. Therefore, -3^0 = 1 as your answer.
The coordinates of the vertices of the preimage of a triangle are (2, 1), (3, 4), and (4, 1). The coordinates of the vertices of the image are (3, 3), (4, 6), and (5, 3). How far and in what direction was the triangle translated?
Answers
What would be the equation for "The product of 4 and the sum of x and 5 equals 28"
Answers
please help me I need this done
Answers
Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?
Answers
Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie watched. Plan B costs $14 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Samantha watches x per month, and let B represent the monthly cost of Plan B if Samantha watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Answers
Answer:
Samantha would have to watch 4 Movies so x=4
Step-by-step explanation:
May I please receive help?
Answers
Answer:
slope of line 1
m = (-8 - 2) / (2 + 2)
m = -10/4 = -5/2
slope of line 2
m = (6 + 1) /(5 - 0)
m = 7/5
slope of line 3
m = (-2 + 7) /(2 - 4)
m = 5/ -2
m = -5/2
Line 1 and Line 2 are neither.
Line 1 and Line 3 are parallel since they have same slope.
Line 2 and Line 3 are neither.
half of a number gives twelve
1/2x + 12 or x/2=12
Answers
Answer:
24
Step-by-step explanation:
1/2(24) = 12
and/or
24/2 = 12
Is this what you wanted?
If x 2 = x, then x = 1 true or false?
Answers
Answer:
False
Step-by-step explanation:
If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.
Answer:
I assume the value is x² right from the qn.
With that
x² = x
if x = 1
then
1² = 1
hence the value is true.
If two angles are supplementary then their sum is a. 90 b. 180 c. 360 d. 45
Answers
Answer:
b. 180°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°
Examples are 90° and 90°, 45°, and 135°, and 60° and 120°
-Chetan K
Select all of the TRUE statements about the unit rates.
The ratio 5 : has a unit rate of 35.
The ratio 5 :, , , , has a unit rate of 35.
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
The ratio to has a unit rate of .
The ratio , , , , to, has a unit rate of , , , .
The ratio : has a unit rate of .
Answers
Answer:
I think you copied this. there are alot od commas
Step-by-step explanation:
Answer:
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
Step-by-step explanation:
Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?
Answers
Kathy began at and elevation of 0 miles.
Kathy made it to 8 miles first.
Kathy experienced a greater elevation change.
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)
b) What is the revenue if 200 units are sold?
c) What quantity x that maximizes the revenue?
e) What price should the company charge to maximize revenue?
Answers
Answer:
See belowStep-by-step explanation:
We have:
p = -1/5x + 100 = -0.2x + 100a) The revenue is:
R = px R = x( -0.2x + 100)R= -0.2x² + 100xb) x = 200, find R:
R = -0.2(200²) + 100(200) = 12000c) This is a quadratic function and the maximum value is obtained at vertex.
x = -100/(-0.2*2) = 250 is the required quantityd) The max revenue is obtained when -0.2x + 100 at max:
The maximum possible is p = 100 when x = 0Solve for the following equation for “f”
Answers
Identify if the relation is a function & explain your answer (help please ! it’s due at 11:59) !! Tysmm
Answers
Answer:
yes it is a function
Step-by-step explanation:
reason why is if u do the virtical line text it shows that it is a function,
another explanation is it doesn't have two of the same x- values
please help i need to solve for c by setting up an equation and then solving the equation
Answers
Answer:
x = 63.34 degree
Step-by-step explanation:
2x-10 + x = 180 as al straight lines add up to 180 degrees
3x -10 = 180
+ 10 +10
3x = 190 add 10 to both sides as shown to cancel left side
x = 190/3
x = 63.33334 degree to 5 dp
x = 63.34 degree to 2 dp.
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
Answers
What is the value of x?
(The diagram)..
Answers
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10
I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.
Whats the alegbrac equation?
Solve the probelm to find the number at the start.
Answers
Answer:
(3n+4)/4 = n-3
Step-by-step explanation:
n = original number
n = 16
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
I think of a number.
Let the number be 'x'.
Then I multiply it by 3. Then the expression will be
⇒ 3x
Then I add 4. Then the expression will be
⇒ 3x + 4
Then I divide the answer by 4. Then the expression will be
⇒ (3x + 4) / 4
My final answer is 3 less than the number I thought of at the beginning. Then we have
(3x + 4) / 4 > 3
Simplify the equation, then the value x will be
(3x + 4) / 4 > 3
3x + 4 > 12
3x > 8
x > 8/3
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Please answer the math problem... I will mark you brainliest
Answers
Answer:
x=74º
y=65º
Step-by-step explanation:
53+53+x=180 > 106+x=180 > x=74
50+2y=180 > 2y=130 > y=65
Can anyone help? This is super difficult.
Answers
Answer:
A
Step-by-step explanation:
Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.
In other words:
[tex]\displaystyle m\angle QPT = m\angle HQP + m\angle PHQ[/tex]
We are given the expressions of each angle. Substitute:
[tex](6x+20)^\circ = (x+40)^\circ + (4x-5)^\circ[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} 6x + 20 & = (x+40) + (4x-5) \\ \\ 6x + 20 & = 5x + 35 \\ \\ x & = 15 \end{aligned}[/tex]
Hence, the value of x is 15.
Then the measure of ∠QPT will be:
[tex]\displaystyle\begin{aligned} m\angle QPT & = (6x+20)^\circ \\ \\ & = (6(15)+20)^\circ \\ \\ & = (90 +20)^\circ \\ \\ & = 110^\circ\end{aligned}[/tex]
In conclusion, our answer is A.
Problem solving visual pattern, please help me! Youd be a life saver
Answers
what is the sum of 3 - 2i and -5 + 6i?
Answers
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.
Find the measure of the angle indicated.
?
82
A) 77°
C) 82
B) 75
D) 127°
Answers
Answer:
c) 82
Step-by-step explanation:
It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.
Please help and do a step by step thank you!
Answers
Answer:
y= -3x +10
Step-by-step explanation:y = mx +b where
m is your slope rise/run and
b is the y intercept
(-9+5) = (12 – 10)
help pls
Answers
Answer:
-4 = 2
Step-by-step explanation:
Answer:
-4 = 2
Step-by-step explanation:
20 POINTS
Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)
B)
C)
Answers
I beileve the anwser is A
P2 + 13x + 42
Factorise this please
Answers
Answer:
Step-by-step explanation:
STEPS USING FACTORING
a
2
−13a+42=0
To solve the equation, factor a
2
−13a+42 using formula a
2
+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.
a+b=−13
ab=42
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.
−1,−42
−2,−21
−3,−14
−6,−7
Calculate the sum for each pair.
−1−42=−43
−2−21=−23
−3−14=−17
−6−7=−13
The solution is the pair that gives sum −13.
a=−7
b=−6
Rewrite factored expression (a+a)(a+b) using the obtained values.
(a−7)(a−6)
To find equation solutions, solve a−7=0 and a−6=0.
a=7
a=6