Answer:
Step-by-step explanation:
x = domain, f(x) = range
<u>Look for matching numbers:</u>
- f(4) = 1/2
- f(x) = 4 when x = 8
Answer:
is the same as 
by co-function identities
Step-by-step explanation:
Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.
Also recall the co-function identities:
- sin (90° – x) = cos x
- cos (90° – x) = sin x
This means that 
.
By <span>(x + 5/x^2 + 9x + 20) you apparently meant the following:
x+5
----------------------
x^2 + 9x + 20
and by
</span><span>(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4
Please use additional parentheses for clarity.
Dividing,
</span> x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4
Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is
(x+5)(x+4)
------------------------- = 1 This is true for all x, so there are no exclusions.
(x+4)(x+5)
The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.
Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years <span />
1 euro = 1.35261 USD
The Ruiz family will be able to exchange their euros for US dollar using the rate of $1.35 per 1 euro.
