what is the formula for 1, -3, 9, -27?
arithmetic or geometric?
Answer:
The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The terms of the sequence are 1, -3, 9, -27
∵ -3 ÷ 1 = -3
∵ 9 ÷ -3 = -3
∵ -27 ÷ 9 = -3
∴ There is a common ratio between each two consecutive terms
∴ The sequence is geometric
∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where
a is the first term r is the common ratio∵ The first term is 1
∴ a = 1
∵ The common ratio is -3
∴ r = -3
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]
∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
PLEASE PLEASE HELP I NEED THE ANSWER SOON
9514 1404 393
Answer:
A, C
Step-by-step explanation:
The domain is the list of x-values in the table. Choice A correctly lists the domain values.
The range is the list of y-values in the table. Choice B incorrectly describes the domain.
For x = -1, the table tells you f(x) = 6, so f(-1) = 6.
For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.
Choices A and C are correct.
In a music competition, a participant has to score a total of 40 points in the first four rounds combined to move on to the 5th and final round. Glen scored 4 points in the first round. He then went on to score additional points in the second, third and forth rounds. In each round he scored the identical points. Which inequality shows the number of points Glen scored.
Answer:
x ≥ 12
Step-by-step explanation:
Given that :
Total points required = 40
1st round point = 4
2nd, 3rd and 4th round points are identical
Let the point number of points = x
2nd + 3rd + 4th = 3
1st round + 3(x) ≥ 40
4 + 3x ≥ 40
3x ≥ 40 - 4
3x ≥ 36
x ≥ 12
PLEASE HELP I BEG OF YOH
Answer:
second
Step-by-step explanation:
their angles are equal and their sides are proportional if the figures are similar
Answer:
B, Their angles are equal and their sides are proportional.
Step-by-step explanation:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x^2
C. F(x) = |x|
D. F(x) = 2x
Answer:
A. F(x)=x
Step-by-step explanation:
why is -16 the leading coefficient in quadratic applications
Answer:
Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.
what is the answer to this?
the two triangles are not similar.
Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?
Answer:
20 cars
Step-by-step explanation:
10,000 ÷ 500 = 20
Answer:
2 cars
Step-by-step explanation:
4,000 + 500 = 4,500 x 2 =10,000
thus its 2 cars
can someone help plz
Answer:
I think it B
Step-by-step explanation:
I think it is B
1 is 25% of what number
Answer:
4
Step-by-step explanation:
4 x .25 = 1
Answer:
its 4
Step-by-step explanation:
1÷4×100
=25%
(1×100)÷25
=4
Graph g(x) = –2x – 3
Answer:
The slope would be -2 with a y-intercept of (0, -3).
I hope this helped to answer your question.
What is the value ofx in the equation X=-45
O -75
O -27
O 27
O 75
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
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The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Help me please and thank you! try your best i will mark brainlist who is first and accurate.
Answer:
the first
Step-by-step explanation:
if it's perpendicular so is the gradient so y= -5/6 + 12
*I'm so sorry if I'm wrong
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
Due in 20 mins pls help!
Answer:
A.
Step-by-step explanation:
it is in y=mx+b format
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
I need help please #19
Answer:
40
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Hii
(x-2)(x+2)/x(x+5)
=(-4-2)(-4+2)/-4(-4+5)
=(-6)(-2)/-4(1)
=12/-4
=-3
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Find the missing length of the triangle.
C=_Km
Answer:
c = 29km
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841
[tex]\sqrt{841}[/tex] = 29
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
15 – 5(4c – 7) = 50 pls solve C
Answer:
c = 0
Step-by-step explanation:
15 – 5(4c – 7) = 50
Expand.
15 - 20c + 35 = 50
Isolate 20c.
-20c = 50-15-35
Evaluate.
-20c = 0
Remove the negative sign.
-20c × (-1) = 0 × (-1)
Two negatives make a positive. Anything multiplied by 0 becomes 0.
20c = 0
Find c.
c = 0 ÷ 20
Evaluate.
c = 0
c = 7/4 is the solution to the equation 15 - 5(4c - 7)
Let's solve the equation step by step:
15 - 5(4c - 7) = 50
First, distribute the -5 to the terms inside the parentheses:
15 - 20c + 35 = 50
Combine like terms:
50 - 20c + 35 = 50
Combine the constant terms:
-20c + 85 = 50
Next, isolate the term with c by subtracting 85 from both sides of the equation:
-20c = 50 - 85
Simplify:
-20c = -35
Finally, divide both sides by -20 to solve for c:
c = (-35) / (-20)
Simplifying the division:
c = 7/4
Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.
Learn more about algebraic Expression here:
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Stephen was disappointed in his grade on a recent statistics test. He calculated his 2-score and found that it was 0.45. What percent of students scored below Stephen's score?
what is the length, in centimeters, of EF
Answer:
8
Step-by-step explanation:
1. Use the Pythagorean theorem: a^2+b^2=c^2.
You are already given c (which is always the longest side of the triangle) and one of the legs, which can be either a or b.
2. Put the numbers into the equation and square them.
6^2+b^2=10^2
When you square the numbers, it becomes 36 + b^2 = 100.
3. Subtract 36 from both sides and take the square root of the difference.
b^2 = 64
[tex]\sqrt{64}[/tex] = 8
Answer: 8cm
Step-by-step explanation: Let’s use the Pythagorean Theorem! 6^2+x^2=10^2
36+x^2=100
x^2=64
X=8
Plz help I’m am getting timed
Answer:
2/8
Step-by-step explanation:
2/8 or 1/4
Answer: 2/8
Step-by-step explanation:
yuh
Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(4, 6) (2,0)
Answer:
-6/6 = -1
Step-by-step explanation:
y2 - y1 0 - 6 -6
x2 - x1 2 - 4 6 simplify and you get -1
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
Please help :( I don’t get these what so ever!!!
Answer:
10.95 for a, b is definitely from a different problem
Step-by-step explanation:
3*3.65=10.95
NEED HEPP FAST MARKING PEOPLE AS BRAINLIST
Answer:
yes becasue their sides have the same length and angles
Step-by-step explanation:
What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.