What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x
Answer:
48
Step-by-step explanation:
Khan Academy
The value of [A] will be 48.
What is Equation Modelling?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.
Given is that we have rewritten -
(1/7)ˣ ⁻ ² - (1/7)ˣ as [A] x (1/7)ˣ
We have (1/7)ˣ ⁻ ² - (1/7)ˣ rewritten as [A] x (1/7)ˣ. So, we can write -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :
[(1/7)ˣ / (1/7)²] - (1/7)ˣ
(1/7)ˣ [1/(1/7)² - 1]
We have -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
So, we can write -
(1/7)ˣ × [1/(1/7)² - 1] = [A] × (1/7)ˣ.
On comparing, we get -
[A] = [1/(1/7)² - 1]
[A] = 48
Therefore, the value of [A] will be 48.
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List the ordered pairs shown in the mapping diagram
Answer:
(0,4)
(1,6)
(2,8)
(3,1)
(4,0)
The required ordered pair mentioned in the mapping diagram is (0,4), (1,6), (2,8), (3,1), and (4,0).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
A mapping diagram is used to illustrate the relationship between sets of domains and ranges.
here,
From the mapping diagram,
Each arrow represents the ordered pairs,
So,
The ordered pair is given as,
(0,4), (1,6), (2,8), (3,1), and (4,0)
Thus, the required ordered pair mentioned in the mapping diagram are (0,4), (1,6), (2,8), (3,1), and (4,0).
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25% of 120 = ......% of 40. What is the missing number?
Answer:
75%
Step-by-step explanation:
25% of 120=120÷4=3
30/40=75%
Check:
75% of 40=30
In your own words what is the definition of reflection (in geometry)
Answer:
a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip
Step-by-step explanation:
Evaluate P(5, 3).
1. 15
2. 20
3. 60
The answer is option 3 - 60
What is the correct factorisation of?
X^2+6x+8
Answer:
Step-by-step explanation:
Given that: x
2
+6x+8
=x
2
+4x+2x+8, (split middle term)
=(x
2
+4x)+(2x+8), (group pair of terms)
=x(x+4)+2(x+4), (factor each binomials)
=(x+4)(x+2), (factor out common factor (x+4)
Hence factors of x
2
+6x+8 are (x+4)(x+2)
5/8 + 3/4 divide by -2/3 - 5/6
Answer: -4/3
Step-by-step explanation: hope this helps :)
plz help this is what might get m to a 100 so plz help me
Answer:
I'd say it's the first dot in from the left (close to 2.4)
Step-by-step explanation:
the square root of 6 is 2.4494, and that's very close to 2.4
Help me please:( I need it
Answer:
y = 18
Step-by-step explanation:
30² = 24² + y²
900 = 576 + y²
y = [tex]\sqrt{324}[/tex]
y = 18
I dont understand how to do this, looking for someone who can help
Find the area of the triangles put together.
Answer:
i might be compltely wrong but i am geting 24
Step-by-step explanation:i probply am wrong
A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain
Answer: 21 Nickels
21 dimes
8 pennies
Step-by-step explanation:
Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.
Answer:
Step-by-step explanation:
(f∘g)(x) = f(g(x))
= f(x²-3)
= 2(x²-3) + 1
= 2x² - 5
(f∘g)(-2) = 2(-2)² - 5
= 2·4 - 5
= 8 - 5
= 3
The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3 will be 3
What is composition of a function ?
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
The notation used for composition is: (f o g)(x) = f(g(x))
(fog)(x) = f(g(x))
this implies , (fog)(-2) = f(g(2))
given :
f(x) = 2x + 1
g(x) = x2 – 3
(fog)(x) = f(g(x)) = f(x^2 - 3)
= 2 (x^2 -3) +1
= 2x^2 - 5 equation 1
fog(-2) = f(g(2))
substituting the value of x = 2 in equation 2
= 2 * (2)^2 -5
= 3
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please answer these questions
I need help it’s only one question
Answers and Step-by-step explanations:
9: (4/6) (-5/8)
This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother. Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,) You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48. Simplify and you get -5/12.
10: (3/4) (-1/5)
Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20. This is the lowest it can be simplified to, so therefore your answer is -3/20.
11. (-1/8) (-6/7)
Multiply -1 and -6 to get 6, (since two negatives make a positive.) Multiply the denominators, (8 and 7,) to get 56. This maks 6/56, which simplifies to 3/28.
12. (-4/9) (1/5)
Multiply the numerators, (-4 and 1,) to get -4. Multiply the denominators (9 and 5,) to get 45. Your answer is -4/45.
I'm really sorry if I'm wrong for anything, hope this helps! :)
y=-6x-4 as integer form
Answer:
y=-24
Step-by-step explanation:
hope this will help you
The ratio of lemons to lime in a punch is 6:4. If there are 35 fruit in the punch, how many of them are lemons?
Answer:
21 lemons
Step-by-step explanation:
If the ratio is 6:4, the ratio is also equal to 3:2. This means, for every 3 lemons, there are two limes.
So, if there are 35 lemons and limes in total, we would have 21 lemons and 14 limes.
Let me know if this helps!
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
plzzz help me yall due soon
Answer:
the answer is d ur welcome.
170 in ratio of 9:8 sorry I’m not to good at math
Answer:
if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25
Step-by-step explanation:
hope this helps
Which relationship describe angles 1 and 2
Vertical angles
Adjacent angles
Supplementary angles
Complementary angles
SOMEONE PLEASE HELP ME WITH THIS QUESTION!
Answer:
i dont know but i have a pic for u
Step-by-step explanation:
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
Which of the following is a polynomial?
Answer:
A. 3x^2+6x is a polynomial
10) using opposite operations solve for x
30 = - 6 x + 12
Move values to the lines to complete the sentence about triangle p’ q’ r’
What is the difference between vertical and horizontal lines?
Answer:
A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.
can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
Find the value of x.
56°
57°
85
2x
4x
Answer:
56
Step-by-step explanation:
Simplifying
x + 7x = 56 + 8
Combine like terms: x + 7x = 8x
8x = 56 + 8
Combine like terms: 56 + 8 = 64
8x = 64
Solving
8x = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x = 8
Simplifying
x = 8
Solve for h and explain your answer in terms of the original statement of the mountain
problem.