Answer:
6/12
Step-by-step explanation:
Note the shaded amount of "parts". You are supposed to put the shaded amount of parts over the <em>total</em> amount of parts.
In the first rectangle, it shows 2 of 3 parts as shaded, and so the fraction is: 2/3
In the second rectangle, it shows 3 of 4 parts shaded, and so the fraction is: 3/4
Finally, the 3rd rectangle shows 6 of 12 parts shaded, and so the fraction is:
6/12
Check by multiplying the fractions across:
(2/3) x (3/4) = (2 x 3)/(3 x 4) = 6/12
6/12 is your answer.
If you need to simplify, divide common factors from both the numerator and denominator, in this case being 6.
(6/12)/(6/6) = 1/2
1/2 is your reduced answer.
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Answer:
last step is (2x + 5)(2x + 1)
Step-by-step explanation:
4x^2 + 12x + 5
4x^2 + (10 + 2)x + 5
4x^2 + 10x + 2x + 5
2x(2x + 5) +1(2x + 5)
(2x + 5)(2x + 1)
Answer:
See below for answers
Step-by-step explanation:
1) Parent functions are essentially non-transformed functions, so y=x^2 would be the parent function of y=x^2+1 for example since y=x^2 has no transformations while y=x^2+1 does.
2) Since certain x-values won't be defined for the function, you need to restrict the domain. For example, in the function f(x)=1/x, obviously x=0 is undefined for the function, so we would need to restrict the domain.
3) Not sure what you mean by name graph; no context given
4) Also no context given
5) The equation would be y=(x+5)^4-3
Answer:
The correct option is D. The interest is about 8%.
Step-by-step explanation:
The amount of money in a bank account that is compounded yearly can be represented by the function
Where P is the amount initially deposited, r is the annual interest rate expressed as a decimal, and y is the number of years that have passed since the initial deposit.
The initial amount is $2700, numbers of years is 14 and the amount after 14 years is $7930.42.
Taking log both sides.
Therefore the correct option is D. The interest is about 8%.
Answer: 2
Step-by-step explanation:
Sub in 2 to both equations
As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3