Answers
==========================================================
Explanation:
The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.
To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".
This means,
2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
Related Questions
Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?
Answers
Answer:
22
Step-by-step explanation:
10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22
20 x 10% = 2
20-2=18
Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.
Answers
Answer:
length: 5x + 2
width: x - 2
Step-by-step explanation:
Factors of 5
1, 5
Factors of 4
1, 4
2, 2
Sign
one positive, one negative
Factor 5x^2 - 8x - 4
(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4
(5x + 2)(x - 2) = 5x^2 - 8x - 4
Therefor
length: 5x + 2
width: x - 2
factor -24a - 16b + 40
Answers
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
Carl was given 15% of his paycheck before Christmas if his paycheck was $545.19 how much did he receive before Christmas
Answers
Answer:81.79$
Step-by-step explanation:
Total Value/ Percentage
So in this case it would be 545.19 divided by 25
and you would then get your answer, 81.79$
pls help 3 x 2 + 6 (4+1) = ???
Answers
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)
(0,0)
(1,1)
no solution
infinitely many solutions
Answers
the answer is y=1x because you have to use rise over run and the y intercept is 0.
Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4
Answers
Based on the information given, the amount of money that Mary will spend more for the headband will be $1.
Since Julie spent $15 on 3 headbands, the amount per headband will be:
= $15/3 = $5
Since Mary spent $48 on 8 headbands, the amount per headband will be:
= $48/8 = $6
Therefore, we can then calculate the difference between the values that are gotten. This will be:
= $6 - $5 = $1
Therefore, the difference is $1.
Learn more about division on:
https://brainly.com/question/24429956
Combining Like Terms -
Answers
Answer:
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answers
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
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]
Answers
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.
How would you rewrite -5 - (-8) as an addition problem?
Answers
Answer:
if there are 2 negatives by each other it would become a postive so -5+8
Step-by-step explanation:
Answer:
-5+8
Step-by-step explanation:
minus a negative is equivalent to plus a positive
i fractions what is 2 x 5/8 i need heeeeeeeeeeeeeelp
Answers
Answer:
1 . 25 or 5/4 as a fraction
Step-by-step explanation: Hope this helps mark me branliest plssss;)
Answer:
2*5/8 = 5/8 + 5/8
So the answer is 1 and 1/4 :)
Please answer lol its math
Answers
Answer:
12.5
Step-by-step explanation:
hope it helped
Answer:
12.5
Step-by-step explanation:
Divide 25ft by 2mm
> 25 / 2 = 12.5
5^-15 rewritten using a positive exponent.
Answers
Answer: 1/5 to the power of 15
Help please ASAP !
Answers
It should be PR=XZ.
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answers
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
Answers
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
find the solution to the following system by substitution
4x+y=40
Answers
There are many ways of doing it, but here is mine.
Step-by-step explanation:
x = 6, y = 16
So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.
the point of concurrency of the angle bisectors of a triangle
Answers
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
Ginny factored 6x2 – 31x – 30 as shown:
ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.
Answers
Answer:
(a) Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.
Step-by-step explanation:
The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.
Answer:
A
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED HELP!!
Answers
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answers
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answers
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answers
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answers
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
Answers
can someone help me?!!! I need help!! ASAP
Answers
Answer:
look at the picture .......................
Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).
Answers
The area of the triangle is 24 square units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
Solve inequality 5x+ 3 divided by 2 > 3x+2
Answers
Step-by-step explanation:
divide 3÷2 (5x+1.5>3x+2)
move the terms (5x-3x>2-1.5)
2x>0.5
divide by 2
x=0.25
