Answer:
the answer to this question is 4x - 3(12x + 4) = -6 hope this helps
Which of the following recursive formulas represents the same geometric sequence as the formula an = 3 * 3n - 1?
A.an = 9 * an - 1
B.an = 3 * an - 1
C.an = 9 + an - 1
D.an = 3 + an - 1
The recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]
To find the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex], we need to find a recursive formula that generates the same sequence.
The formula [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] can be rewritten as:
[tex]\[ a_n = 3 \times 3^{n-1} = 3 \times 3^n \times 3^{-1} = 3 \times \left(3 \times 3^{n-1}\right) \][/tex]
This indicates that each term is 3 times the previous term. So, the recursive formula should involve multiplying the previous term by 3.
Let's examine the options:
A. [tex]\( a_n = 9 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 9, not 3.
B. [tex]\( a_n = 3 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 3, which matches the original sequence.
C. [tex]\( a_n = 9 + a_{n-1} \)[/tex] - This represents adding 9 to the previous term, not multiplying it.
D. [tex]\( a_n = 3 + a_{n-1} \)[/tex] - This represents adding 3 to the previous term, not multiplying it.
Therefore, the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]
Which ordered pair is a solution to this equation?
(x + 3) y = 14
A. (3, 2)
B. (5, 2)
C. (11, 1)
D. (7, 2)
What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?
Answer:
The required equation is y + 3 = 4(x + 1)
Step-by-step explanation:
Since, the point slope form of a line passes through the point [tex](x_1, y_1)[/tex] having slope m is,
[tex]y-y_1 = m(x-x_1)[/tex]
Here,
[tex]x_1 = -1, y_1 = -3\text{ and }m = 4[/tex]
Hence, the equation of the line,
[tex]y+3 = 4(x+1)[/tex]
Or
[tex]y = 4(x+1) - 3[/tex]
round 0.9874 to the greatest non zero place
What is the end behavior of f(x) = (x − 3)2(x + 5)(x − 2)3?
T he end behavior of f(x) can be described as:
As x → -∞, f(x) → +∞
As x → +∞, f(x) → +∞
To determine the end behavior of f(x) = (x − 3)²(x + 5)(x − 2)³, we need to consider the degree and leading coefficient of the polynomial.
1. Degree of the Polynomial:
The degree is the highest sum of exponents of the variable x in any term. In this case:
(x - 3)² contributes a degree of 2 (x² term)
(x + 5) contributes a degree of 1 (x term)
(x - 2)³ contributes a degree of 3 (x³ term)
Adding these degrees, we get a total degree of 2 + 1 + 3 = 6.
2. Leading Coefficient:
The leading coefficient is the coefficient of the term with the highest degree. Since all factors have a leading coefficient of 1, the leading coefficient of the entire polynomial will also be 1 (positive).
3. End Behavior Based on Degree and Leading Coefficient:
Even Degree & Positive Leading Coefficient: When the degree is even and the leading coefficient is positive, both ends of the polynomial will approach positive infinity. In other words, as x approaches both positive and negative infinity, f(x) will also approach positive infinity.
Therefore, the end behavior of f(x) can be described as:
As x → -∞, f(x) → +∞
As x → +∞, f(x) → +∞
Complete question:
What is the end behavior of [tex]f(x) = (x - 3)^{2} (x + 5)(x - 2)^{3}[/tex]?
Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?
24
25
26
27
Answer: 24 video games
Step-by-step explanation: jasmine has 1,128 bucks originally. she gets some megadeth and metallica cd's (cause if she's got taste, that's probably what she got) and that adds up to 72 bucks. now she wants to buy a whole bunch of video games, which cost 43 each (imagine she got fortnite mod's. ew) so we put that in an equation-
$1,128 - $72 = $1,056
$1,056 divided by 43 equals 24.55813953488372.
when dealing with money, you always round down, so the total number of games she bought was 24
please mark brainliest
y = 3x
x + 2y = -21
Solve the system. Write your answer as an ordered pair (x, y)
What is the circumference of the circle in terms of pi? The radius is 2.2
choices are 1.1, 1.21, 2.2 and 4.4
im so confused so could someone please explain what i did wrong?
Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?
Answer:
Quadratic formula for given equation is [tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]
Step-by-step explanation:
Given Quadratic Equation is 7x² = 9 + x
We need to find correct Quadratic formula for the given quadratic equation.
If the quadratic equation is in standard for,
ax² + bx + c = 0
then quadratic formula is given by,
[tex]x=\frac{-b\pm\sqrt{b-4ac}}{2a}[/tex]
First we rewrite the quadratic equation,
7x² - x - 9 = 0
by comparing with standard form of equation we get,
a = 7 , b = -1 and c = -9
oNw putting these value in quadratic formula we get,
[tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]
Therefore, Quadratic formula for given equation is [tex]x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}[/tex]
Estimate 24% of 33.
a) 17
b) 12
c) 2
d) 8
Which one is the greater quantity 1/3 of a box of corn crinkles or 50% of a box of corn krinkles
Please solve:
x+y=8.
xy=15. ...?
During which two time intervals does the particle undergo equal displacement?
Choices:
a) AB & BC
b) AB & DE
c) BC & DE
d) CD & DF
It’s AB and DE so it would be b
What is the smallest angle of rotational symmetry for a square
When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.
We know that the order of rotation for a square is 4.
Hence, we have [tex]\frac{360}{4} =90^{\circ}[/tex]
Thus, the angle of rotational symmetry of square are
[tex]90^{\circ}, 180^{\circ}, 270^{\circ}[/tex]
Hence, the minimum angle of rotational symmetry is [tex]90^{\circ}[/tex]
Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.
Find the 9th term of the following geometric sequence: 1, –3, 9, –27. PLEASEEEEE HELP!!!!!!
A. –5,661
B. 7,241
C. –2,456
D. 6,561
The number 0.1111... repeats forever; therefore, it is irrational. True or False.
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?
Is the square root of 100 rational or irrational?
What about the square root of 0.25?
Final answer:
The square root of 100 is rational, as is the square root of 0.25.
Explanation:
The square root of 100 is a rational number. A rational number is a number that can be expressed as a quotient or fraction of two integers, where the denominator is not zero. In this case, the square root of 100 is 10, which can be written as 10/1, making it a rational number.
The square root of 0.25 is also a rational number. The square root of 0.25 is 0.5, which can be expressed as 1/2, making it a rational number.
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?
−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3
Cylinder has a height of 14 centimeters and its circle bases have a radius of 10 centimeters. find the surface area of the cylinder.
2(100 ) + 140 square centimeters
1,400 + 140 square centimeters
2(100 ) + 280 square centimeters
2(1,400 ) + 2(140 ) square centimeters
V-15=-27 what's they equation
The given expression V-15=-27 gives the value of v = -12.
Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
And we know that a mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given expression is:
V-15=-27
To solve this equation:
Add 15 on both sides
v - 15 + 15 = - 27 + 15
v = -12
Hence,
The given expression gives the value of v = -12
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Which of the following is something that will not affect your homeowners insurance premium? a. the distance of the home from a school b. the distance of the home from a flood plain c. the distance of the home from a fire station d. the distance of the home from a fire hydrant
Answer:
a. the distance of the home from a school
Step-by-step explanation:
The distance your home is from a flood plain can potentially increase your homeowner's insurance. If your house is close to a flood plain, your insurance will increase.
The distance your home is from a fire station or a fire hydrant either one can lower your insurance. If your home is within so many feet of a hydrant, you get a discount on your insurance; if it is close enough to a fire station, you get a discount as well.
Since the distance a home is from a school has no bearing on the cost of repairing or replacing the home, this will not affect your homeowner's insurance.
A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
Use you graph to estimate the value of x when y = 2. How would you work that out?
what times what equals 429
I need help on this asap i'll give you so many points!!
A consistent system of equations is a system with __________.
the same line
parallel lines
intersecting lines and lines that have the same slope
intersecting lines and lines that have the same equation
Kate ate 1 out of 4 of her orange. ben eat 2 out of 4 of his banana. did kate and ben eat 1 out of 4 add 2 out of 4 equal 3 out of 4 of their fruit? explain
Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
Quadratic equations can be expressed in standard form or in vertex form.
The true statement about [tex]\mathbf{y = ax^2 + bx + c}[/tex] and [tex]\mathbf{y = a(x - h)^2 + k}[/tex] is that: the value of a remains the same
The original expression is given as:
[tex]\mathbf{y = ax^2 + bx + c}[/tex]
He wants to rewrite it as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Expand the above equation
[tex]\mathbf{y = a(x - h)(x - h) + k}[/tex]
Open brackets
[tex]\mathbf{y = a(x^2 - hx - hx + h^2) + k}[/tex]
[tex]\mathbf{y = a(x^2 - 2hx + h^2) + k}[/tex]
Remove bracket
[tex]\mathbf{y = ax^2 - 2ahx + ah^2 + k}[/tex]
Compare the above equation to: [tex]\mathbf{y = ax^2 + bx + c}[/tex]
[tex]\mathbf{ax^2 = ax^2}[/tex]
[tex]\mathbf{-2ahx = bx}[/tex]
[tex]\mathbf{ah^2 + k = c}[/tex]
Analyzing the above equations
[tex]\mathbf{ax^2 = ax^2}[/tex]
Divide both sides by [tex]\mathbf{x^2}[/tex]
[tex]\mathbf{a = a}[/tex]
The above equation means that, the value of a remains unchanged.
Hence, option (c) is true
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What is the slope of this graph?
−1/3
3
1/3
−3