The correct answer is 2.5×10^2
Hope this helped :)
Answer:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
Step-by-step explanation:
Let's say that the dogs eat 50 lbs of food in 50 days. That would mean they eat 50/50 = 1 pound per day. Notice I divided the weight over the number of days. The dog eats 1 pound per day, for 365 days, so in total it eats 365*1 = 365 pounds. This is just a hypothetical example.
In general, if x is the number of days to eat 50 pounds of food, then x/50 is the expression representing the amount eaten per day (in pounds). Finally 365*(x/50) is the expression representing the total amount eaten over the whole year.
This is why the final answer is choice C
Answer:
Step-by-step explanation:
a.) When you have the following equation 
To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)
b.) The axis of symmetry is just the x value of the vertex which is 15
c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative
d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100
e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)
f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.
