Answer : [tex]16^a - b^2[/tex]
[tex](4a + b) (4a - b )[/tex]
[tex]= (4a + b) (4a - b )[/tex]
[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]
[tex]= 16^a - 4ab + 4ab - b^2[/tex]
[tex]= 16^a - b^2[/tex]
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
HELP ME PLEASE ! we’ll do brainlest?
Answer:
Only the first two
Step-by-step explanation:
Plot all the points on the graph in your mind and see if the points are either in the red or on a solid colored line. That will show you whether a specific point is a solution to a system of inequality or not.
Help me with this answer I know there is no solution I just wanna know why
Answer:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true
Answer:
No solution
Step-by-step explanation:
The solution x = 0 means that the value 0. “No solution” means that there is no values
Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected
mean , median, range or standard deviation
Answer:
mean for the the second median for the 1st one
Step-by-step explanation:
which angles on the unit circle have central angles with measures less than 180 degrees
what are 3 decimals between 5.7 and 5.8
Answer:
5.75 , 5.76, 5.73
Step-by-step explanation:
Hope this helps!
The zoo has 12 Emperor penguins, which makes up 24% of all penguins at the zoo. How many penguins live at the zoo?
Answer:
[tex]50[/tex] penguins
Step-by-step explanation:
Let [tex]p[/tex] = number of penguins at the zoo
[tex]24\%p=12[/tex] (Is given that 12 Emperor penguins at the zoo make up 24% of total penguins)
[tex]0.24p=12[/tex]
[tex]p=12\div0.24[/tex]
[tex]p=50[/tex]
∴ There are [tex]50[/tex] penguins at the zoo
Hope this helps :)
If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.
.
slopes are the same
Slopes are reciprocals
Slope are whole values
Slopes are opposites (one positive and one negative)
Answer:
Concept: Linear Systems
Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.
Answer:
Six movie channels, because 5(6) + 50 = 6.5(6) + 41
Step-by-step explanation:
evaluate : 7^4×7^5×7^-9
pls solve to get brainiest
Answer:
1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1
Given
[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]
= [tex]7^{(4+5-9)}[/tex]
= [tex]7^{0}[/tex]
= 1
What is the value of 2(5b - 7) in terms of y if b = 3y ?
if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time
Answer:
12.5assignments
Step-by-step explanation:
50 assignments over 4 days
50/4
=12.5 assignments
Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)
Step-by-step explanation:
What is 1/3 (x + 15) = 3
Answer:
hi there
-6
Step-by-step explanation:
x=-6
Final Answer: [tex]x = -6[/tex]
Steps/Reasons/Explanation:
Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?
Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].
[tex]\frac{x + 15}{3} = 3[/tex]
Step 2: Multiply both sides by [tex]3[/tex].
[tex]x + 15 = 3[/tex] × [tex]3[/tex]
Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].
[tex]x + 15 = 9[/tex]
Step 4: Subtract [tex]15[/tex] from both sides.
[tex]x = 9 - 15[/tex]
Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].
[tex]x = -6[/tex]
~I hope I helped you :)~
At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45
Answer: 95.15
Step-by-step explanation:
To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15
(I got the .25 from subtracting 100-75, and the 75 is the percent)
Answer: 95.15
Step-by-step explanation:
Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded
Write the equation of the line fully simplified slope-intercept form.
Question 2 of 20
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
5
10
15
Pay
per month
1100
1200
1300
20
1400
25
1500
30
1600
1700
35
A. (1100, 1200, 1300, 1400, 1500, 1600, 1700}
B. 1700, 35,1600, 30, 1500,25)
C. (5.10, 15, 20, 25, 30, 35)
D. (5, 1100, 15.1200, 25, 1300)
Given:
The function on the Input output table.
To find:
The range of the given function.
Solution:
We know that, range is the set of output values.
From the given table it is clear that, hours of training is the input variable and pay per month is the output value.
So, range of the given function is the set of pay per month.
Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}
Therefore, the correct option is A.
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?
Answer:
60 hope this helps!
Step-by-step explanation:
45-(-15) = 60
Answer:
Well person, it's 60 feet.
Step-by-step explanation:
Because it is simple math. You just add 45 and 15 then BOOM! ANSWER
f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
(f.g)(x) = 3x^2 - 3
f(x) = x + 2
g(x) = 3x^2 - 5
equation is the relationship between variable and represented as is example of polynomial equation.
f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3
Thus, (f.g)(x) = 3x^2 - 3
Learn more about equation here:
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Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
What the answer is for this question
Answer:
im pretty sure its 24
Step-by-step explanation:
because 12+12=24
HELP ASAP! WILL MARK BRAINLIEST
Answer:
it will be the first the 5th the 2nd and the 3rd
Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
I think it would be 4 not sure
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
Learn more about function here:
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PLEASE HELP whats the answer for this problem
Answer:
it is 20 me and that other kid did the same thing
Step-by-step explanation:
5x+12 + 3x+8 =180
8x=180-20
8x=160
hope that helps brainly plz
x=20
Greatest common factor of 25,50,75
Answer:
gcd (50; 75) = 25 = 5^2:
Step-by-step explanation:
hope it help
The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.
We are given that;
The three numbers = 25, 50, 75
Now,
The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.
To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.
The prime factorization of 25 is 5*5
The prime factorization of 50 is 2 x 5*5.
The prime factorization of 75 is 3 x 5*5.
The common factors of 25, 50 and 75 are 1 and 5*5.
Therefore, by factorization the answer will be 25.
Learn more about factorization here;
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A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?
Answer:
Yes: $1.77
Step-by-step explanation:
20.24 - 4.49 = 15.75
15.75 - 3.99 = 11.76
Yes, there will be enough for the 9.99 thing
11.76 - 9.99 = 1.77
The man will have 1.77 at the end.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
Select the correct answer.
Which function has the same zeros as g(x) = -x3 + x2 + 12x?
ОА. .
y
-30
-20
10
1-10
-8
-6
-4
-2
6
8
10
-10
20
Answer: -30
Step-by-step explanation:
-30 bc it has the same functions.
Answer:
points -3,0,4 on a graph
Step-by-step explanation:
correct on edmentum or plato