Answer:
-1/5
Step-by-step explanation:
let's put the function in slope intercept form (y = mx + b).
x + 5y = 10
y = - (1/5)x + 2
when the function is in slope intercept form, (m) is the rate of change or the slope.
therefore, the rate of change -1/5
Answer:
✓100 = 10
Step-by-step explanation:
2= x1
8= x2
-6= y1
2= y2
Then you apply your distance formula to solve.
Hope it helps
Answer:
The vertex would be (-3, -1)
Step-by-step explanation:
Since this is in vertex form already, a(x-h)^2+k where h is the x value of the vetex, and k is y.
We would take the opposite of +3 and get -3, which gives us our x cordinate.
We don't change the k value, so it just stays -1, giving us our y value.
Therefore, the vertex is at (-3, -1)
Hope this helps!
Answer:
The correct option is <u>c) $17.50/case</u>.
Step-by-step explanation:
Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.
The explanation of the answer is now given as follows:
Marginal cost refers to the cost incurred in order to produce one more unit of a product.
Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.
From the table in the question, the marginal cost at q = 108 can be calculated as follows:
Change in total quantity at 180 cases = 108 - Number of cases immediately before 108 = 180 - 104 = 4
Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70
Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case
Therefore, the correct option is <u>c) $17.50/case</u>.
Answer:
ABC = 30
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+14 + x+7 = 90
Combine like terms
3x+21 = 90
Subtract 21 from each side
3x+21-21 = 90-21
3x = 69
Divide by 3
3x/3 = 69/3
x = 23
ABC = x+7 = 23+7 = 30
