Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
will give brainliest!
Solve for x. Exclude any extraneous solutions:
4/3x+5/4=3/x
Answer:
x = 4/3
Step-by-step explanation:
[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]
take lcm of the denominator
lcm = 12x
[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]
[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]
do cross multiplication
x(16 + 15x) = 3*12x
16x + 15x^2 = 36x
15x^2 = 36x - 16x
15x^2 = 20x
x^2 = 20x /15
x*x = 4x/3
x = 4x/3/x
x = 4x/3 *1/x
x = 4x/3x
x = 4/3
what is the mean and median of 4,9,26,20,23,0,37??
Answer:
the median is 20 and the mean is 17
Step-by-step explanation:
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence
Answer:
an = 4n + 3
Step-by-step explanation:
h(x)=-4x-7, when x=3
h( blank)=blank
Answer:
h(3)=19
Step-by-step explanation:
it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19
Answer:
hope this helps
Step-by-step explanation:
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
Help me!
Find the area of figure.
Answer:
9 cm²
Step-by-step explanation:
the area = ½× 3√2 × 3√2 = ½×18 = 9
(10 x 10^-3) - (2 x 10^-6)
Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!
Answer:
9.998 x [tex]10^{-3}[/tex]
Step-by-step explanation:
ANSWER: 9998 x 10^-6
[tex]{{hope it helps}}}[/tex]
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below
(3x-7)(2x+8)
Answer:
A. 4(x - 4) + 2(3x² + 3x - 20)
C. (11x² + 7x - 55)-(5x² - 3x + 1)
F. (3x² + 5x - 28) + (3x² + 5x - 28)
Step-by-step explanation:
Given:
(3x-7)(2x+8)
= 6x² + 24x - 14x - 56
=6x² + 10x - 56
A. 4(x - 4) + 2(3x² + 3x - 20)
= 4x - 16 + 6x² + 6x - 40
= 6x² + 10x - 56
B. (3x² + 5x - 28) - (2x² + 4x + 28)
= 3x² + 5x - 28 - 2x² - 4x - 28
= x² + x - 56
C. (11x² + 7x - 55)-(5x² - 3x + 1)
= 11x² + 7x - 55 - 5x² + 3x - 1
= 6x² + 10x - 56
D. 4(x - 4) - 2(3x² + 3x - 20)
= 4x - 16 - 6x² - 6x + 40
= - 6x² - 2x + 24
E. (11x² + 7x - 55)-(5x² - 3x + 2)
= 11x² + 7x - 55 - 5x² + 3x - 2
= 11x² - 5x² + 7x + 3x - 55 - 2
= 6x² + 10x - 57
F. (3x² + 5x - 28) + (3x² + 5x - 28)
= 3x² + 5x - 28 + 3x² + 5x - 28
= 6x² + 10x - 56
what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?
Answer:
D. y= -2x+16
Step-by-step explanation:
the slope = -1÷½ = -2
the equation :
y-0= -2(x-8)
y = -2x+16
Choose a strategy and solve. Enter your answer using digits. You may need to use scratch paper or other objects.
Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with ketchup. The rest want them plain. How many plain hamburgers will Jim and his dad make?
Answer They will make 30 hamburgers, 16 of them are plain
Step-by-step explanation:
30-6-4-4=16
can someone please help PLEASE
Help please guys! Thank youuu
Answer:
Step-by-step explanation:
12b + 1 5c = 420
b ---> number of hour baby sitting
c-----> number of hours cleaning
c = 32 hours
Plugin c = 32 in the equation,
12b + 15*32 = 420
12b + 480 = 420
Subtract 480 from both sides
12 b = 420 - 480
12b = -60
So, This is not a reasonable value.
2) b = 10 hours
Plugin b = 10 hours
12*10 + 15c = 420
120 + 15c = 420
15c = 420 - 120
15c = 300
Divide both sides by 15
c = 300/15
c = 20 hours
He has to do cleaning for 20 hours
Yes, It is reasonable value
________ collect money from investors, create capital, and offer various investment options.
Fill in the blank
its 2 words
[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
How much more would 72,300 be from 63,100?
Answer:
9,200
Step-by-step explanation:
72,300 - 63,100 = 9,200
the circle below is centered at (10, 4) and has a radius of 4. what is its equation?
Answer:
The equation of the circle is
Formula :
(x- h ) ² + (y-k )² = r²
or, x²-20x +100 + y² -8y + 16 = 16
or, x² + y² -20x -8y + 100 = 0 is the required equation
Which sequence is geometric?
Answer:
4th option
Step-by-step explanation:
in geometric sequences the number is multiplied or divided by same number continuously
in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.
Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.
How much money would he have left?
Answer:
10.25
Step-by-step explanation:
26-7(2.25)=10.25
Answer:
$10.25 would be left over
Step-by-step explanation:
Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.
To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.
Find the missing angle
Answer:
25
Step-by-step explanation:
[tex]x = 90 - 65 = 25 degrees[/tex]
The two outside lines form a right angle ( represented by the square). A right angle is 90 degrees.
Subtract the known angle from 90.
X= 90-65 =25
X = 25 degrees
find the perimeter, halla el perimetro
Answer:
28 cm
Step-by-step explanation:
The perimeter (P) is the sum of the sides
P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )
= 8 + 6 + 8 + 6
= 28 cm
please help me :)))))))))))))))))
Answer:
A
Step-by-step explanation:
third angle=180-(35+73)=180-108=72°
I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base.
uhmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
l=✓9²+4²
l=√81+16
l=✓97
Can somebody pls help I’ll give brainless
Answer:
$2
Step-by-step explanation:
bill = $10
tip = 18%
tip amount = tip % of bill
=18/100 * $10
=$180/100
=$1.8
=$2
The question is in the screenshot
T={(-9, -8), (-3, 7), (7, -7), (-9,0)}
Answer:
hey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopp
Step-by-step explanation:
Answer:
−18+25+(−37)
[−18+25]+(−37)
Here we will 1
st
solve square bracket
∴[−18+25]+(−37)=7+(−37)
=7−37=−30
−30 is the sum of −18,+25 and −37
Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18
Answer:
Step-by-step explanation:
Simplifying
2y + -3x = 18
Reorder the terms:
-3x + 2y = 18
Solving
-3x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 18 + -2y
-3x = 18 + -2y
Divide each side by '-3'.
x = -6 + 0.6666666667y
Simplifying
x = -6 + 0.6666666667y
PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)
Answer:
y = (x+3)(x+2)(x+1)
Step-by-step explanation:
so how to determine that...
1) it has to be a third order equation (x^3) since it changes direction two times
2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors
About how many times heavier is the blue whale than the rhinoceros
Answer:
1 x 10^2
Step-by-step explanation:
(2 x 10^5) / (2 x 10^3) = 1 x 10^2