Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
From the first equation Substitute it into the second equation:
Simplify it:
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.
That means that, for example:
if your number is 49 the nearest whole number would be 50.
so by saying estimate the figure to the nearest whole number , they are basically saying find your nearest whole number.
We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.
x + 4 + 3x^2 - 8 || Write it out!
3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!
3x^2 + x - 4 || Combine like terms!
Hope this helps!! :)
Answer:
See attached picture.
Step-by-step explanation:
The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.
The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.
The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.
(-4.5)^2 + 9(-4.5) + 20
20.25 - 40.5 + 20
Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).
See attached picture for the graph.
40%, assuming that everyone who didn't say they preferred walking preferred running.