Answer:
0
Step-by-step explanation:
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
5(0)
0
Answer:
t + 8° > 82°
Step-by-step explanation:
Given that :
Let t = temperature when Susanne checks at 11:00
If t rises by 8 more degrees, it will break the record high temperature for that day
Record high temperature for the day = 82 degree
Hence,
Temperature at 11:00 + 8° > record high temperature for the day
t + 8° > 82°
18in x 40in Half of 80 is 40, half of 36 is 18
9in x 20in 1/4 of 80 is 20, 1/4 of 36 is 9
d. y = 3/4x + 17/4.
To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).
First, we have to calculate the slope m.
m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)
m = (5 - 2)/(1 - (-3))
m = 3/4
Second, we have to find the y-intercept.
y = mx + b, where m is the slope and b is the y-intercept.
Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.
Taking the ordered pair (1, 5):
5 = 3/4 (1) + b
5 = 3/4 + b
Solving for b
b = 5 - 3/4
b = [5(4) - 3(1)]/4
b = (20 - 3)/4
b = 17/4
Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:
y = mx + b
y = 3/4x + 17/4
Answer:
The domain of the function is:
Step-by-step explanation:
Given the function
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
From the function, it is clear that for the values x<-5, the function becomes undefined.
For example, for x=-6
√x+5 = √-6+5 = √-1 which is undefined
and for x=-5
√x+5 = √5+5 = √0 which is defined
Thus, the domain of the function is:
