Answer:
6 apples and $4.25
Step-by-step explanation:
10-4=6. 3.50+75=4.25
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
Answer:
domain: all real numbers
range: y ≥ -5
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
This polynomial is of even degree and has a positive leading coefficient. It will have a minimum value, but no maximum. We can get an idea of the minimum value by looking at the vertex form.
f(x) = x^4 -2x^2 -4
f(x) = (x^4 -2x^2 +1) -5 = (x^2 -1)^2 -5
The squared term will have a minimum value of 0, so the minimum of f(x) is -5.
The range is all real numbers greater than or equal to -5.