Answer:
34
Step-by-step explanation:
H(x) = 4x-2
H(-9) = 4(9)-2
H(-9) = 36 -2
H(-9) = 34
Answer:
3 machine
Step-by-step explanation:
It is given that 6 machine each working at the same rate can complete the work in 12 days
We the has to complete in 8 days
Let we need x extra machine to complete the work in 8 days
So total number of machines =x+6
Now according to man work day equation 



x=3 machine
Answer:
The attached image shows the graph for the given function.
Step-by-step explanation:
We are given the following function in the question:

We have to graph the given function.
Properties of the given function are:
- It is an exponential function of the form

- Here, a = 2, b = -1
- The y-intercept of the given function is (0,0.5)
- There is no x-intercept.
- The domain of the given function is all real numbers.
- The range of given function is

The attached image shows the graph for the given function.
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.