Eight taken away from five is equivalent to fourteen.
Thirteen added to seven equals five.
I don't understand the equation itself, but if those equations were to be actually written the way they were, then the above sentences are correct.
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Write a verbal statement for the given expression/equation.
1) 5−8=14
2) 13+7=5
\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
Five minus eight is equal to fourteen.Thirteen plus seven is equal to five.⇨ To do this, you need to look at the equation first. Then break down your equation to verbal forms, join them & create the statement.
For example,
\( \rightarrow \sf \: 2 + 2 = 4\)
Here, we should break down this equation to ⇨ 2, +, 2, =, 4. Now, we should write them verbally ⇨ two, plus, two, equals to, four. Lastly, we must join them, so now our verbal statement will become ⇨ Two plus two is equal to four.
name two geometric solids that have a circular cross section describe how you get that cross section - im in geometry !!!
Answer: no clue man
don't have any clue because im only in algebra 1 honors! sorry...
You deposit $975 in an account that pays 5.5% annual interest compounded continuously. What is the balance after 6 years?
$26,434.82
$1251.36
$2711
$1356.19
The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.
Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.
Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.
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A line passes through the point (−7,−5,8), and is parallel to the vector 3i+6j+6k. Find the standard parametric equations for the line, written using the component of the given vector and the coordinates of the given point. Let z=8+6t. x=,y=,z=
So, the standard parametric equations for the line are: x = -7 + 3t; y = -5 + 6t; z = 8 + 6t.
To find the standard parametric equations for the line, we can use the point-slope form of the equation of a line.
The given point on the line is (-7, -5, 8), and the line is parallel to the vector 3i + 6j + 6k.
Using the point-slope form, the equations can be written as:
x = x₁ + at
y = y₁ + bt
z = z₁ + ct
where (x₁, y₁, z₁) is the given point and (a, b, c) are the components of the parallel vector.
Substituting the values:
x = -7 + 3t
y = -5 + 6t
z = 8 + 6t
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Please answer this easy math question!! 13 pts!!
Answer:
Step-by-step explanation:
The problem shows a 90° angle split by a ray, we know that both angles are equal to 90° because the whole is equal to the sum of its parts therefore adding 6b+7 and 7b-8 gives us 90° which is simplified as
13b°-1°= 90°
add 1 to both sides
13b°-1° + 1° = 90° +1°
13b° = 91°
divide by 13
13b°/13 = 91°/13
b= 7°
For which values of c does the quadratic equation x^2-2x+c=0 Two roots of opposite signs
Answer:
-2
Step-by-step explanation:
The value of c is -4, therefore the additive inverse should be added to get the answer 0
The roots of the quadratic equation x² – 2x + c = 0 are a and –b. Then the value of c is a² – 2a.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
For which values of c does the quadratic equation
x² – 2x + c = 0 ...1
Two roots of opposite signs
Let the two roots of the opposite signs be a and –b
x = a, –b
Then we have factorized the equation,
(x + b)(x – a) = 0
On solving, we have
x² + (b – a)x – ab = 0 ...2
In comparing equation 2 with equation 1, we have
⇒ b – a = –2
⇒ b = –2 + a
and
⇒ c = a(a – 2) = a² – 2a
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In the coordinate plane, the point A (-2,2) is translated to the point A (2,-3). Under the same translation, the points B (-4,-1) and C (-6,5) are translated to B and C respectively. What are the coordinates of B and C?
Answer: B(0,-6); C(-2,0)
Step-by-step explanation:
A was translated 4 units to the right (x) and 5 units down (y)
Do the same for the other points
B(-4+4, -1-5) C(-6+4, 5-5)
B(0, -6) C(-2, 0)
If you know him i love ill give out brainliest
Answer:
Lucifer
Step-by-step explanation:
But a lot thinner
Peter is filling a swimming pool with water. After 7 minutes the pool contains 1,372 gallons of water after 12 minutes the pool contains 2,352 gallons of water at what rate in gallons per minute is the pool being filled?
If the pool's being filled at a constant rate, then this rate is equal to the average rate, which would be
(2352 gal - 1372 gal) / (12 min - 7 min) = 980/5 gal/min = 196 gal/min
Richard can type 60 words per minute. At this rate, how low will it take him to type 720 words?
Answer:
It will take Richard 12 minutes to type 720 words.
Step-by-step explanation:
720 ÷ 60 = 12
a rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer. what is the area, in meters squared, of the remaining plot?
The area of the remaining rectangular plot of land is 4680m²
Area of rectangle:
Area of rectangle means the area covered by the rectangle.
The formula for area of rectangle is
A = l x b
where,
l is the length of the rectangle
b is the breadth or width of the rectangle
Given,
A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.
Here we need to find the remaining area of the rectangular plot land.
For that first, we have to find the area of each separately,
Like,
The area of the rectangular plot is,
A₁ = 40.0 x 120.0 m²
A₁ = 4800m²
Similarly, the area of the electric transformer is,
A₂ = 10.0 x 12.0 m²
A₂ = 120m²
Now the remining area is,
A = A₁ - A₂
A = 4800 - 120 m²
A = 4680m²
Therefore, the area of the remaining rectangular plot is 4680m².
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Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
2т - 7 = 5х +8
Can u help me plzzzzz
Answer:
The answer is X=5
Step-by-step explanation:
2x - 5x = 7-8
-3x = -15
X= -15: (-3)
X=5
a biologist claims that nearly 45 percent of all americans have brown eyes. a random sample of n=60 mizzou students found 24 with brown eyes. give the numerical value of the statistic p^
the sample proportion (p^) is 0.4 or 40%.
To calculate the sample proportion (p^) for the number of Mizzou students with brown eyes, use the following formula:
A set is a collection of objects or groups of objects. These objects are often called elements or members of a set. For example, a group of players in a cricket team is a set.
p = (number of students with brown eyes) / (total number of students in the sample)
In this case, there are 24 students with brown eyes out of a sample of 60 students. Therefore, the numerical value of the statistic p^ is:
\(p = \frac{24} { 60} = 0.4\)
So, the sample proportion (p^) is 0.4 or 40%.
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The numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
To find the numerical value of the statistic p^ (sample proportion) for the given problem, you should follow these steps:
Identify the total number of students (n) in the sample, which is 60.
Identify the number of students with brown eyes (x), which is 24.
Calculate the sample proportion (p^) using the formula: p^ = x/n
Applying the formula:
p^ = 24/60
p^ = 0.4
So, the numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
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Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ +3, g(x) = 4x+7 (Simplify your answer. Do not factor.) (Simplify your answer. Do not factor.) f[g(x)] = g[f(x)] =
The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19
The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7
The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below
f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3
When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343
Then
f[g(x)] = - 64x³ - 336x² - 588x - 340
Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;
g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g
[f(x)] = -4x³ + 19
Therefore,
f[g(x)] = - 64x³ - 336x² - 588x - 340
g[f(x)] = -4x³ + 19
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point (x, y) is randomly picked from inside the rectangle with vertices (0, 0), (4, 0), (4, 1), and (0, 1). What is the probability that x < y
To solve this problem, let us first find the probability that x < y when point (x, y) is randomly selected from inside the rectangle. Then, using the area of the rectangle, normalize the probability.
The probability that x < y is 1/8.
To find the probability that x < y when a point is randomly chosen from within the rectangle. Let A be the area of the region where x < y, and B be the area of the rectangle. Then, the probability that x < y is given by P(x < y) = A/B. To find A and B, let us first look at the line x = y, which passes through (0,0) and (1,1) and separates the rectangle into two regions: Region I: The area to the right of the line x = y, where x > y. Region II: The area to the left of the line x = y, where x < y. region xy plane Region I has area B - A, and Region II has area A. Hence, B - A + A = B, which implies A/B = A/(B - A) = 1/2. Therefore, we only need to find A.
Let C be the triangle with vertices (0,0), (1,0), and (1,1). This triangle has area 1/2. Since the rectangle has height 1, the line x = y intersects the rectangle at a height of 1/2, which means that A is the area of the trapezoid with vertices (1/2, 0), (1, 0), (1, 1), and (1/2, 1/2).trapezoid xy plane. To find the area of this trapezoid, we can split it into a rectangle and a right triangle, as shown below: split trapezoid xy plane. The rectangle has base 1/2 and height 1, so its area is 1/2. The triangle has base 1/2 and height 1/2, so its area is 1/8. Hence, the area of the trapezoid is 1/2 + 1/8 = 5/8. Therefore, the probability that x < y is P(x < y) = A/B = (5/8) / 4 = 1/8.
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What are the solutions of the equation x4 3x2 2 = 0? use u substitution to solve.
The solution of the equation is x=±i or x=±i√2.
Given that the equation is x⁴+3x²+2=0 and use u substitution method to solve.
We can rewrite our given equation as:
(x²)²+3x²+2=0
Let's assume that the (x²)=u.
The given equation is rewritten as u²+3u+2=0.
Factorize the quadratic equation by adding or subtracting two number that gives the sum of 3u and product 2u² as
u²+2u+u+2=0
u(u+2)+1(u+2)=0
Taking out (u+2) as common and get
(u+2)(u+1)=0
Compare each equation with 0 and get
u+2=0 or u+1=0
u=-2 or u=-1
Performing back substitution by substituting the values of u in x²
when u=-1 then x is
x²=-1
x=±√(-1)
As we know that √(-1)=i.
So, we get
x=±i
And when u=-2 then x is
x²=-2
x=±√(-2)
As we know that √(-1)=i.
So, substituting this, we get
x=±i√2
Hence, the solutions of the x⁴+3x²+2=0 is x=±i and x=±i√2.
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Evaluate the expression for a = 3.8, a = 7, and a - 7.2
The expression a ÷ 4 is equal to __ a = 3.8
Given:-
\( \sf \: a = 3.8 , 7 , -7.2\)\( \: \)
\( \sf \: a ÷ 4 ---eqⁿ\)\( \: \)
Solution:-
\( \underline{ \: \sf{[a = 3.8] \: }}\)
\( \: \)
\( \sf \: a ÷ 4\)\( \: \)
\( \textsf{put the value of a = 3.8}\)
\( \: \)
\( \sf \: 3.8 ÷ 4 \)\( \: \)
\( \boxed{ \sf{ \purple{0.94}}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
\( \underline{ \sf \: [a = 7]\: }\)
\( \: \)
\( \sf \: a ÷ 4\)\( \: \)
\( \textsf{ \: put the value of a = 7 \: }\)
\( \: \)
\( \sf \: 7 ÷ 4\)\( \: \)
\( \boxed {\sf \red{1.75}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
\( \underline{ \sf{[a = -7.2]}}\)
\( \: \)
\( \sf \: a ÷ 4\)\( \: \)
\( \textsf{ \: put the value of a = -7.2 \: }\)
\( \: \)
\( \sf \: -7.2 ÷ 4\)\( \: \)
\( \boxed{ \sf \green{-1.8}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
. The value of a lottery prize doubles
each week until there is a winner. If
the prize is $1000 the first week,
write a recursive function rule and an
explicit function rule to model the
value of the prize P, in dollars, after t
weeks without a winner. (14.2)
Answer: P(t) = $1000*2^t
Step-by-step explanation:
Ok, we know that in the week 1 the price is: p = $1000
After one week, the price doubles, so here we have: p = 2*$1000
After another week, the price doubles again, here the price is:
p = 2*(2*$1000) = $1000*2^2
Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.
Then, for week number t, the price will be:
P(t) = $1000*2^t
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.
He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.
On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.
Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.
1 On days 1 and 2 how much blue paint did Marc use? How much yellow paint?
2 How many cans of each type of paint does Marc have left for day 3?
3 Day 2's mixture must use the same simplified ratio of blue to yellow as the other two days. What is the greatest number of cans of blue and yellow paint Marc can mix on day 2? Assume he mixes only whole cans of paint.
By respecting the given ratio:
1) 10 of blue paint and 15 of yellow.
2) 4 of blue paint and 6 of yellow.
3) 2 cans of blue paint and 3 of yellow.
On days 1 and 2 how much blue paint did Marc use? How much yellow paint?
We know that on day 1 he uses:
4 cans of blue paint.6 cans of yellow paint.On day 2 he uses:
6 cans of blue paint.9 cans of yellow:Adding that we get:
Cans of blue paint used: 4 + 6 = 10Cans of yellow paint used: 6 + 9 = 15How many cans has he left on day 3?He initially has 20 cans of yellow, so he has left:
20 - 15 = 5 cans of yellow.
He initially has 14 cans of blue, so now he has:
14 - 10 = 4
4 cans of blue paint.
3) How many cans should he use?
The original ratio is:
6 yellow to 4 blue.
The quotient gives: 6/4 = 3/2
So if she has 5 cans of yellow paint and 4 cans of blue paint, the maximum amount that he can use that respects that ratio is 3 cans of yellow paint and 2 cans of blue paint.
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What value of n makes the statement true?
6xn· 4x2 = 24x6
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
Problem Solving A London airport is 200 miles from Manchester airport. A plane leaves Manchester airport at 10 am to fly to the London airport. The plane flies at an average speed of 120 mph. What time does the plane arrive at the London airport?
The time the plane arrives at the London airport from the airport in Manchester, found using the kinematic equation for speed, and the conversion of the units from hours to minutes is 11:40 a.m.
What are the kinematic equations of motion?The kinematic equations describe the motion of an object that moves with constant acceleration.
Distance from the London airport to the Manchester airport, D = 200 miles
The average speed of the plane, v = 120 mph
Time the plane leaves Manchester airport = 10 a.m.
The kinematic equation that can be used to find the time of flight is presented as follows;
\(Speed, \, v = \dfrac{Distance, \, D }{Time, \, t}\)
Therefore;
\(t = \dfrac{D}{v}\)
The time of flight is therefore;
\(t = \dfrac{200}{120} = \dfrac{5}{3} = 1\dfrac{2}{3}\)
The time of flight is \(1\frac{2}{3}\) hours or 5/3 hours which in minutes is therefore:
\(t = \dfrac{5}{3} \, hr \times 60 \, min/hr= 100 \, min\)
100 minutes = 1 hour 40 minutesThe time of arrival is 10 a.m. + 1 hour 40 minutes = 11:40 a.m.
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A bag contains 15 blue marbles, five red marbles, and 11 green marbles. How many blue marbles must be removed from the 31 marbles in the bag so that the probability of randomly joined a blue marble is 1/3?
Answer:
5 blue marbles
Step-by-step explanation:
31/3 = about 10
15-10=5
Please help me please
The probability of a penny falling out is 0.3 or 30%.
What is probability?The study of probability is a branch of mathematics that focuses on calculating the possibility or chance that an event will occur. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty, and numbers in between denoting likelihood.
The number of favourable outcomes for an event A divided by the total number of possible outcomes is the definition of P(A), which stands for probability. The classical definition of probability is this.
From the given table we see that, the total coins in the cup are:
3+5+2+1=11.
Now, for the number of penny are: 3
Thus,
P(penny falls out) = 3/10 = 0.3
Hence, the probability of a penny falling out is 0.3 or 30%.
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Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.
The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
What is the formula for radian measure?The formula for radian measure to calculate the central angle is given as,
\(\theta=\dfrac{s}{r}\)
Here, (r) is the radius of the circle and (θ) is the central angle.
In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,
\(\theta=\dfrac{21}{12}\\\theta=1.75\)
Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
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Answer:1.75 radians
Step-by-step explanation: edge
solve pls brainliest
Answer:
0.2% as a decimal is 0.002, 3.71 as a percentage is 371%
5 is more than a number is greater than or equal to 27
5 more than a number is greater or equal to 27
The "number" can be represented as x.
\(\boxed{x+5\geq 27}\)
In the regression model Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, where X is a continuous variable and D is a binary variable, ß3:
A) indicates the slope of the regression when D=1.
B) has a standard error that is not normally distributed even in large samples since D is not a normally distributed variable.
C) indicates the difference in the slopes of the two regressions.
D) has no meaning since (Xi x Di) = 0 when Di = 0.
In the given regression model, Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, B3 represents the interaction term between the continuous variable Xi and the binary variable Di.
The coefficient B3 indicates the difference in the slopes of the two regressions when Di = 0 and Di = 1.
Thus, it shows how the effect of Xi on Yi changes depending on the value of Di.
C) indicates the difference in the slopes of the two regressions.
In the given regression model, ß3 is the coefficient of the interaction term between X and D, which is (Xi x Di). The interaction term shows how the effect of X on Y changes when D changes from 0 to 1.
Therefore, the coefficient ß3 indicates the difference in the slopes of the two regressions (when D = 0 and D = 1), which represents the effect of the interaction between X and D on Y.
Option A is incorrect because the slope of the regression when D=1 is given by the coefficient ß1 (the coefficient of X), not by ß3.
Option B is incorrect because the standard error of the coefficient ß3 can be normally distributed in large samples, even if D is not normally distributed.
Option D is incorrect because the product (Xi x Di) is zero when Di = 0, but ß3 can still have a non-zero value when Di = 0.
C) indicates the difference in the slopes of the two regressions.
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how many rational number are there between 0 and 5 explain your answer in words
Answer:
infinity
Step-by-step explanation:
There are "infinity" rational numbers between 0 and 5.
What are rational numbers :
A rational number is one that has the form p/q, where p & q are both integers and q is not zero.
How to find rational numbers :
The denominators must be equal to get the rational numbers between two rational numbers with differing denominators.
Finding the LCM of the denominators or multiplying the denominators of one to both the numerator and denominator of the other are two options for equating the denominators.
tanya has 12 less votes than cynthia for class president. Write and solve a subtraction equation to find the number of votes for cynthia
Answer:
c - 12 = t
Step-by-step explanation:
c stands for cynthia and t stands for tanya
since tanya has 12 less votes than cynthia, you would subtract 12 from cynthia
Answer:
c-12=t
Step-by-step explanation:
Cynthia's number of votes for class president is unknown.
But, we know that Tanya has 12 less votes than her, so if you subtract Cynthia amount of votes by 12 you will get Tanya's.
Hope this helps! :)
Consider the quadratic pattern -7;0;9;20 4.1 show that the general term of the quadratic number pattern is given by tn=n^2+4n-12
To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.
Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.
First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11
We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.
To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2
The second differences are constant, which suggests a quadratic pattern.
Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.
Using the given terms, we can form three equations:
1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)
Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9
Solving this system of equations, we find a = 1, b = 4, and c = -12.
Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).
The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).
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