The statement “If the movement of a mass on a spring may be
modeled with simple harmonic motion, then its frequency decreases with time”
is false.
<span>In mechanics and physics, simple </span><span>harmonic motion </span>is a type of
periodic motion<span> or oscillation </span><span>motion </span>where the restoring force is directly proportional to
the displacement and acts in the direction opposite to that of displacement .
The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":
<span>Δ=<span>b2</span>−4ac</span>
Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios:
<span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span>
This just means: "if the discriminant is greater than zero, there will exist two x-intercepts"
And for the second scenario:
<span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span>
This means: "if the discriminant is equal to zero, there will be one and only one x-intercept"
And for the last scenario:
<span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span>
This means that :"if the discriminant is less than zero, there will be no x-intercepts"
So, if we take your excercise and analyze the the discriminant:
<span>3<span>x2</span>+7x+m=y</span>
we will find the values that satisfy y=0 :
<span>3<span>x2</span>+7x+m=0</span>
And we'll analyze the discriminant:
<span>Δ=<span>72</span>−4(3)(m)</span>
And we are only interested in the values that make the discriminant equal zero:
<span><span>72</span>−4(3)(m)=0</span>
All you have to do is solve for "m".
Answer:
18 units
Step-by-step explanation:
5+5=10
4+4=8
8+10=18 units
Answer:
D
Step-by-step explanation:
u can use Pythagorean theorem a2 + b2 =c2. c2 is the length of the hypotenuse. plug in 3 for a and 15 for b. 3 squared plus 15 squared equals c squared. 9+225= c2. 234=c2. answer is D. the square root of 234
Answer:
The price of a sandwich is £2.5 and the price of a croissant is £2
Step-by-step explanation:
Let s be the number of sandwiches and c be the number of croissants
Then according to given statements the equations will be:
Multiplying equation 1 by 2 and subtracting equation 2 from the new equation
Now
Putting s=2.5 in equation 1
Hence,
The price of a sandwich is £2.5 and the price of a croissant is £2
