Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ5
What is 33 1/3% of what number is 12
Answer:
36
Step-by-step explanation:
33.33333...% is 1/3 of a number
1/3 of 36 is 12
12(3)=36
How to get slope from standard form.
Answer:
Solve the equation for y. See example.
Step-by-step explanation:
I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.
[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]
[tex]5y = - 3x + 15[/tex]
Now solve for y by dividing each term by 5.
[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]
Now simplify.
[tex]y = \frac{ - 3}{5} x + 3[/tex]
The slope is
[tex] - \frac{3}{5} [/tex]
i need help math hard
Answer:
15°
Step-by-step explanation:
A bacterial culture starts with 3000 bacteria and grows to a population of 12 000 after 3h. Determine the number of bacteria after 8 h.
Answer: 32000
Step-by-step explanation:
12000 divided by 3 =4000
4000 x 8 =32000
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
Read more:
https://brainly.com/question/18611326
Answer:
Step-by-step explanation:
9:15 15:25 6:10
Write a polynomial equation that has three real zeroes, and a y intercept of 250
Answer: Forget about imaginary roots.
Draw an x axis and a y-axis, at right angles.
Place a dot at y=250.
Place a dot at x=60 and place a dot at x=120.
Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.
In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120. Continue upward indefinitely. You have created another local min, at about x=90.
The smooth polynomial curve will have a local max at(0,250).
Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.
Step-by-step explanation:
i hope this helps
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
9.
Identify the maximum value of the function y = −4x^2 − 24x + −36.
A. 3
B. 0
C. −36
D. −4
Answer:
B. 0
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 0 )
which one does not belong and justify your answer
Yellow
they all are in some sort of line except for yellow
Please help. Flow chart proof. I'll give brainliest
Answer:
Step-by-step explanation:
14. Explain why a step in solving the equation 4n = -36 is to divide both sides by 4. Then
solve the equation.
Answer:
Because you cant combine unlike terms. And the goal is to get X by itself.
-9 is the answer
Step-by-step explanation:
rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
Answer:
3.3m+1.4
Step-by-step explanation:
Multiply 5 and 0.9m
Multiply 5 and 0.5
5 times 0.9m is 4.5m
5 times 0.5 is 2.5
Multiply -3 and 0.4m
Multiply -3 and 0.7
-3 times 0.4m is -1.2m
-3 times -.7 is -2.1
4.5m+ 2.5 -1.2m-2.1
Which is 3.3m+1.4
Hope this helps!
How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
-8 - (-3) find the sum
Answer:
Step-by-step explanation:
Find x, the answer is 5 but how do I get it?
Answer:
x = 5
Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.
Step-by-step explanation:
2x + (3x + 2) + (4x + 1) = 48
9x + 3 = 48
x = 5
100 points if u get this wrong ty!
Answer:
39 cm²Step-by-step explanation:
Area of trapezoid:
A = 1/2(b₁ + b₂)hSubstitute values:
A = 1/2(9 + 4)*6 = 39Answer:
39 cm²
Step-by-step explanation:
Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]
=> [tex](\frac{4 +9}{2}) 6[/tex]
=> [tex](\frac{13}{2} )6[/tex]
=> 13 x 3
=> 39 cm²
Hoped this helped.
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answer:
A(-3,2)B(3,7) and C(4,-4)
Step-by-step explanation:
these are the new coordinate
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answer:
The slope is 8
Step-by-step explanation:
A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answer:
7 - b > 8
Step-by-step explanation:
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
Can someone plz help I will mark Brainliest.
Answer: A( 148 meters )
Answer:
Choice A
Step-by-step explanation:
Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.
DUBS
Please consider giving a brainliest, because you did promise one ;)
About how many miles is 100,00 ft? HELP ASAP!
Answer:
18.939394miles
this is the correct answer happy
8.2x + 9y + 2(2.5x) + 10xy
plz Help
Answer:
13.2x + 9x + 10xyStep-by-step explanation:
=> 8.2x + 9y + 2(2.5x) + 10xy
=> 8.2x + 9y + 5x+ 10xy
=> 13.2x + 9y + 10xy
Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.
Can someone pleaseeee help me :(
Answer: x-5 / x
Step-by-step explanation:
because…
Answer:
[tex]\frac{x - 5}{x}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]
It can also be written as :-
[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]
[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]
Cancel x + 4 from numerator and denominator.
[tex]=> \frac{x - 5}{x}[/tex]
Find the perimeter. Simplify your answer.
Please help me!
Work out the shaded area of this shape.
Answer:
look at the picture .................
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
(03.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 11?
A: The graph of y=f(x) will shift up 11 units.
B: The graph of y=f(x) will shift right 11 units.
C: The graph of y=f(x) will shift left 11 units.
D: The graph of y=f(x) will shift down 11 units.
Answer:
its letter C
Step-by-step explanation:
yan Ang answer for me