Answer:
see explanation
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term
Given the explicit formula
A(n) = - 1 + (n - 1)(- 2)
This is an arithmetic sequence with explicit formula
A(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
For the given explicit formula, then
a₁ = - 1 and d = - 2
The recursive formula is then
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16 gallon full tank of gas? The trail length is 15 5/6
Answer:
10
Step-by-step explanation:
can anyone help. how to solve this plz. 58power4 -388
Answer:
The answer is 11,316,108
Step-by-step explanation:
[tex]58^{4} - 388[/tex]
(58)(58)(58)(58) - 388
11,316,496 - 388
= 11,316,108
What is the symbol for a square root
Answer:
The symbol for a square root is [tex]\sqrt{}[/tex].
:)
Answer:
√
Step-by-step explanation:
Math=Explanitory
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made
Answer:
You can make 6 servings
Step-by-step explanation:
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
5=r÷¼
How do I do this? This makes no sense to me
Answer: 5=rl
Step-by-step explanation:
Answer:
U can download apps to help u hope you find your answer
For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.
Answer:
The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches
Step-by-step explanation:
The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.
simpifly (4^7/5^2)^3
Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)
Answer:
y = -3x + -9/6
-9/6 simplified as -3/2
I don't understand what I am supposed to do after I combine terms
I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]
Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions
4 - 24x + 21 = - 54x + 5 , that is
25 - 24x = - 54x + 5 ( add 54x to both sides )
25 + 30x = 5 ( subtract 25 from both sides )
30x = - 20 ( divide both sides by 30 )
x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]
Use the following function rule to find f(2).
f(x) = 2^x
f(2) =
Answer:
4
Step-by-step explanation:
2²
4PLEASE MARK ME AS BRAINLISTThe value of y is directly proportional to the value of x.
If y = 12 when x = 15, what is the value of x when y = 40?
A.
12
B. 32
C.43
D.
50
Answer:
D
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 12 when x = 15
12 = 15k ( divide both sides by 15 )
0.8 = k
y = 0.8x ← equation of proportion
When y = 40 , then
40 = 0.8x ( divide both sides by 0.8 )
50 = x → D
fracciones equivalentes a 2/7
Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation:
Adnan drives 16.5 miles in 10 minutes. He passes a sign which gives the speed limit as 70 mph. By how much, in mph, did Adnan's average speed exceed the speed limit?
=========================================================
Explanation:
10 minutes = 10/60 = 1/6 of an hour
Divide the distance over the time duration to find his speed
speed = distance/time
speed = (16.5 miles)/( 1/6 hr )
speed = 16.5*(6/1) mph
speed = 99 mph
Then subtract off the speed limit posted by the sign.
99 - 70 = 29 mph
Adnan is 29 mph over the speed limit.
Answer: 29 miles/hour (mph)
Step-by-step explanation:
10 minutes is 0.16667 hour (hr).
16.5 miles/0.16667 hr = 99 mph
99 - 70 = 29 mph
3n + 75 = 50 + 2n what does the n equalin the equation
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year
Answer:
$1236
Step-by-step explanation:
3%=1.03 as a decimal multiplier
1200 x 1.03 = $1236
what’s y = x +-2 -76
Answer:
y = x - 78
Step-by-step explanation:
y = x +-2 -76
y = x -78
A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.
Time can't be negative so we need to get absolute value of x .
Write an equation in Slope intercept form for the line that passes through the given point and has the given slope (-2,-3) , (4,5)
Answer:
[tex]y=\frac{4}{3}x-.333[/tex]
Step-by-step explanation:
Using the Slope Formula:[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex][tex]\frac{5-(-3)}{4-(-2)}=\frac{5+3}{4+2}=\frac{8}{6}=simplify=\frac{4}{3}[/tex]help plzz
Find the length of X
Answer:
the answer is x=8 that is the answer
HELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?
Area of measured tile: 12 x 10 = 120 square inches
Area of actual tile = 10 x 10 = 100 square inches:
Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%
Answer: 20%
PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!
What number is 73% of 14.6
Answer:
10.658
hope it helps
Answer:
10.658
Step-by-step explanation:
14.6 = 100%
? = 73%
73% ÷ 100% x 14.6
= 10.658
10.658 = 73%
What is the range of f(x)?
Answer:
{ f(x)| -∞ < f(x) ≤ 4 }
Step-by-step explanation:
The range of a function is the interval of every y-value represented on the function. Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value. The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.
The range is -∞ < f(x) ≤ 4
Please help ME for brainliest.
Answer:
-1.2y + -4.2y = -3.78
Help pls ?? I just need this one question ):
Answer:
9 should be the greatest common factor. (I think) because 3b² =9b
12b⁴=48b
Answer:
3*(4b^4-b^2)
Step-by-step explanation:
you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3
and then take out the 3
so 3*(4b^4-b^2)