Answer:
Step-by-step explanation:
3(1-4)=2(2-6)
3-12=4-12
-9= -8
Is there a variable?
Answer:
<u>Given function:</u>
- p(t) = 2³
a)
<u>Find x when p(t) = 200:</u>
- 2³ = 200
- = 252
- 2t/3 = log 25
- t = 3 log 5
- t = 2.0969 years ≈ 2 years and 1 month
b)
<u>Find p(t) when t = 4:</u>
- p(4) = 2³( ) = 8* = 3713.27 million
√
160
simplifies to 4
√
10
.
Part 1
<h3>Answer: 13</h3>
---------------------
Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
===========================================================
Part 2
<h3>Answer: -11</h3>
---------------------
Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
Answer:
m= -1/2
Step-by-step explanation:
y= -1/2x+1+3
y= -1/2 x +4