Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
Answer:
18 miles
Step-by-step explanation:
We can write ratios to solve
12 miles x miles
---------- = ------------
4 trips 6 trips
Using cross products
12 *6 = 4x
72 = 4x
Divide by 4
72/4 = 4x/4
18 miles
Answer:
1 1/5
Step-by-step explanation:
1/5+ 2/5+ 3/5= 6/5
make 6/5 a mixed number which would be 1 1/5
Answer:
you are 78
Step-by-step explanation:
a = age
500 -4a = 188
subtract 500 from each side
500-4a -500=188-500
-4a = -312
divide by -4
-4a/-4 = -312/-4
a =78
Answer:
Choice B is correct; the domain of function A is the set of real numbers greater than 0
The domain of the function B is the set of real numbers greater than or equal to 1
Step-by-step explanation:
The domain of a function refers to the set of x-values for which the function is real and defined. The graph of function B reveals that the function is defined when x is equal 1 and beyond; that is its domain is the set of real numbers greater than or equal to 1.
On the other hand, the natural logarithm function is defined everywhere on the real line except when x =0; this will imply that its domain is the set of real numbers greater than 0 . In fact, the y-axis or the line x =0 is a vertical asymptote of the natural log function; meaning that its graph approaches this line indefinitely but neither touches nor crosses it.
