Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.
Hope this helps, and have a nice day
Step-by-step explanation:
Good luck! :)
Answer:
10 1/2 or 10.5
Step-by-step explanation:
6 4/5 + 3 7/10
= 34/5 + 3 7/10
= 34/5 + 37/10
= 21/2
= 10 1/2
Answer:
Step-by-step explanation:
As we know that:
Sum of the measure of all interior angles of a triangle is always 180°.
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
#SPJ1
Answer:
The given table represents a function f(x) = y = 2x+3
The upper graph
Step-by-step explanation:
We will write the equation of the right line in the explicit (slope) form
y = ax+b
We will take two points from the given table
A(-1,1) and B(0,3) and insert their coordinates in the equation y=ax+b and get
A(-1,1) => 1 = (-1)*a+b => -a+b=1
B(0,3) => 3=0*a+b => 3= 0+b => b=3
Now we will insert b=3 in the equation -a+b=1 and get
-a+3=1 => a=3-1 => a=2
Now we will insert a=2 and b=3 in the equation y=ax+b and get
equation of the function
y = 2x+3 = f(x) The upper graph.
Good luck!!!