Answer:
C
Step-by-step explanation:
Remember that we can use the discriminant to determine the amount of roots that a quadratic function has.
If the determinant equals 0, then we only have one real root.
Our function is given by:

Then the discriminant will be:

We only have one real root, thus our discriminant must be 0:

Solve for b:

Thus:

The answer is both II and III.
The final answer, then, is C.
Answer:
x = 3
Step-by-step explanation:
This process is called cross multiplication.
Multiply 6 · 4 = 24
Divide 24 ÷ 8 = 3
x = 3
Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Answer:
(10,0)
Step-by-step explanation:
4x - 5y = 40
To find the x intercept, set y =0 and solve for x
4x - 0 = 40
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
The x intercept is 10
(10,0)
b) five more than m
"m in addition to 5"= m+5