Answer: OPTION D.
Step-by-step explanation:
For this exercise it is important to remember that:
1. Direct proportion equations have the following form:
Where "k" is the constant of proportionality.
2. The graph of Direct proportions is an straight line that passes through the origin.
Observe the picture attached.
If you join the points G, C and A, you get a straight line that passes through the origin,
If you join the points F, G and H, you also get a straight line that passes through the origin,
Therefore, the sets of points show "x" in Direct proportion to "y", are:
and 
General vertex form:
Given :
Extract "spread factor" m
Complete the square
Write as a squared binomial and simplify the constant
Re-write to match signs of standard general form:
Answer:
2nd option
Step-by-step explanation:
4 + (-3) = 1 because the signs mismatch, something cannot be both positive or negative. When the signs are the same, whether it be both positive or both negative, the answer will always be positive, while if the signs are mismatching the answer will always be negative.
Hope I helped!
Answer:
<em>1.3%</em>
When entered into a calculator, 12/890 (the chance of a given calculator being defective) = 0.01348...
As a percent this is 100*0.01348% = 1.348%, and to the nearest tenth, 1.3%
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
