Answer:
a) (2x+7)(x-4)
b) x = -7/2 and x = 4
Step-by-step explanation:
a) (2x ?)(x ?)
set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)
after trial-and-error, found that 4 and 7 worked (used un-FOIL)
b) 2x + 7 = 0
2x = -7
x = -7/2
*********
x-4 = 0
x = 4
We will use formula for circumference of circle:
lets name it as O
O = 2*r * pi
when we express r in this formula we get:
O = 2*2.2*pi
O = 4.4*pi
From this we can see that for given radius, answer is 4.4. The formula only depends on pi and that is what "in terms of pi" means.
Answer:
283.5
Step-by-step explanation:
A=πr^2
A=π(9.5^2)
A=π(90.25)
π x 90.25=283.5 (rounded to the nearest tenth)
Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
_____
<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
Answer:
f(x + 2) = 3x + 2
Step-by-step explanation:
Simply replace wherever you find x in the function f(x) with (x + 2), like so:
f(x + 2) = 3(x + 2) - 4
f(x + 2) = 3x + 6 - 4
f(x + 2) = 3x + 2
