<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>
Because 7 is being added to x, subtract it from both sides:
Because x is being multiplied by 5, divide both sides by 5:
Therefore. 
.
<h3>Question 2</h3>
Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:
To isolate x, subtract 4 from both sides:
Divide both sides by 2:
Therefore, 
.
Answer:
Y= 17
Step-by-step explanation:
Y= 3(5)+2
y= 15+2
y=17
According to the condition, this equation has <u>two</u> solutions: -14/5 and 14/5.
Short explanation:
5|x|=14; ⇔ |x|=14/5; ⇒
PS. it's correct, if to substitute the values of 'x' into the condition/equation.
Answer: F = 25.1 kHz
Step-by-step explanation:
Time (period) = 250 × 10^-6 s
Let's first calculate the folding frequency. Given by
NF (rad s-1) = π/Δt
where NF = Nyquist frequency
t = time increment between observations.
The original signal must be filtered by analog or physical methods to remove all frequencies higher than the Nyquist frequency before the signal is sampled or digitized.
F = 3.143/0.00025
F = 12566.37Hz
minimum sampling rate = 2F
2 × 12566.37 = 25132.74Hz
minimum sampling rate = 25.1 KHz
Answer:
Step-by-step explanation:
The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)
