The equation is -5x = 4
x = -0.8
Answer:
I attached the answer below.
Step-by-step explanation:
I recommend using Desmos, that's what I used. It helps graph and plot points.
Hope this helps!!
Answer: Where are the lines?
First, classify each line segments of triangle that are the same in both triangles.
RS = XU
RT = XW
ST = WU
Second, divide to find the scale ratio.
7.5/3 = 2.5
16/6.4 = 2.5
15/6 = 2.5
Since the scale ratios are identical, the triangles are similar.
Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]
Best of Luck!
Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
