Answer:
-480
Step-by-step explanation:
If f varies directly as g, and inversely as h, then we can write the variation equation:
, where k is the constant of variation.
If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.



The equation now becomes:

if f=10 and h=-12, then;


The correct answer is B.
Answer:
Step-by-step explanation:
The solution to this system of linear equations 3x – 2y = 14 and 5x + y = 32 is (x, y) is (6, 2).
Answer:
2.87b
Step-by-step explanation:
done done done donendone
The number here is will be represented as under -
Let the number be x.
Thus, the 5 times the number will be = 5x.
Now, it says, the number is 68 less than 5 times a number.
The equation so formed will be -
5x - 68 = x
4x = 68
x = 68.
Thus, the number will be 17.
Let us re-check the number,
(5 × 17) - 68 = 17
85 - 68 = 17
<em><u>17 = 17. Thus, the number will be 17.</u></em>
Answer:
The image of both graphs can be seen below:
Both functions will have the same output for an input x₀ if:
f(x₀) = g(x₀)
This means that, for that particular value of x₀, the functions will intersect each other.
So we just need to look at the graph and find the x-value where the functions intersect. (Remember that the x-values are in the horizontal axis)
We can see that it happens at x = 1.
Then the input value that produces the same output value for the two functions is:
x = 1