Answer: C
Step-by-step explanation:
Answer:c
Step-by-step explanation:
please help with the image above (translation up and down)
Answer:
fourth option
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Thus
f(x) = (x - 11)³ ← has been translated right by 11 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
f(x) = (x - 11)³ + 4
represents a translation 11 units right and 4 units up
Answer:
b) 1.22
Step-by-step explanation:
22% as a decimal is 0.22. But we want to increase the number, meaning that we have to keep it to start, or multiply it by 1. And then we also multiply by 0.22. Thus multiplying by 1.22.
The percentage multiplier to increase a quantity by 22% is 1.22. You calculate this by adding the percentage increase as a decimal to 1.
The question asks for the percentage multiplier to increase a quantity by 22%. This falls within the domain of mathematics, particularly algebra and critical numeracy skills.
To calculate a percentage increase, you would start with the original amount represented as 1 (or 100%), and then add the percentage increase as a decimal.
So, for a 22% increase, you would add 0.22 to 1, which results in 1.22.
Therefore, the correct answer to the question is b. 1.22.
This multiplier is then applied to the quantity you wish to increase, effectively increasing it by the desired percentage.
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And (2a) (5ab)
Answer:
a^3 (a^4) = a^7
(2a)(5ab) = 10a^2b
Step-by-step explanation:
The amount will be $4499.45 if an investment account earns 4% per year compounded annually if the initial investment was $4000.
It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
An investment account earns 4% per year compounded annually if the initial investment was $4000.
P = 4000
r = 4% = 0.04
t = 3
n = 1
Plug all the values in the formula, and we get:
A = 4000(1 + 0.04)³
A = $4499.45
Thus, the amount will be $4499.45 if an investment account earns 4% per year compounded annually if the initial investment was $4000.
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In system A, the first equation multiply by 4
8x - 4y = 12 (1st)
3x + 4y = 10 (2nd)
--------------------add
11x = 22
So answer is B.