Answer:
Step-by-step explanation:
You would put b at -3 (put a dot there)
Move with m by going up 1, and then to the right 4 (the next dot should be at --2, 4)
connect both points with a straight line
Morning:
3 pints every 7 minute = 3/7 pints/minute = 0.429 pints/minute
Afternoon:
2 pints every 5 minutes = 2/5 pints/minute = 0.4 pints/minute
Difference:
3/7 - 2/5 = 15/35 - 14/35 = 1/35 pints/minute
0.429 - 0.4 = 0.029 pints/minute
Answer:
Step-by-step explanation:
<em>We use the rule 
to first simplify this:</em>
<em>Now we use the rule 
we simplify further and find the answer:</em>
The third answer choice is right.
Answer:
The required expression is y = 1.4 - 0.05x
Step-by-step explanation:
Consider the provided information.
Food mix A contains 2% fat and food mix B contains 7% fat.
Let x kilograms of food A are used, in a 20-kilogram mixture.
Thus, 20 - x kilograms of food B are used, in a 20-kilogram mixture.
Now It is given that A contains 2% fat and food mix B contains 7% fat.
2% and 7% can be written as 0.02 and 0.07 respectively. Let represent the total fat with y.
Thus, the required expression is:
y = 2% (x) + 7% (20 - x)
y = 0.02 (x) + 0.07 (20 - x)
y = 0.02x + 1.4 - 0.07x
y = 1.4 - 0.05x
Hence, the required expression is y = 1.4 - 0.05x
<span>The first choice is correct.
Explanation<span>:
The formula for slope is m=(y</span></span>₂<span><span>-y</span></span>₁<span><span>)/(x</span></span>₂<span><span>-x</span></span>₁<span><span>). Once we find the slope using that formula, it goes in place of m in y=mx+b.
We do not yet have the y-intercept, but we can use one of the points to find it. We substitute the x-coordinate of one point in for x and the y-coordinate of the same point in for y; then we solve for b. This gives us the y-intercept.</span></span>
