Answer:
the slope is -8/5
Step-by-step explanation:
we need to get the equation in the form
y= mx+b where m is the slope and b is the y intercept
8x + 5y =40
subtract 8x from each side
8x-8x + 5y = -8x +40
5y = -8x+40
divide each side by 5
5y/5 = -8x /5 + 40/5
y = -8/5 x +8
the slope is -8/5 and the y intercept is 8
<span>f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5
f(x) = 7/(x-8) Domain: all real numbers except 8
f(x) = sqrt(x) Domain: all positive real numbers and 0
f(x) = 8x Domain: all real numbers
The domain of a function is the set of all numbers for which that function is valid. You have 4 functions and 4 possible domains to choose from. Let's work each one out.
f(x) = sqrt(x-5)
You're not allowed to take the square root of a negative number. So the domain for this function would be all values of x >= 5. That way you're taking the square root of 0 or higher. Let's see if any of your choices match that.
And you have the choice "all real number greater or equal to 5"
f(x) = 7/(x-8)
You're not allowed to divide by 0. And the denomerator becomes 0 if x equals 8. So the domain is all real numbers except 8 which happens to be one of the choices.
f(x) = sqrt(x)
This is much like the 1st choice. You can't take the square root of a negative number. So the domain is all non-negative numbers. Looking at the choices, there isn't a match, but there's the choice "all positive real numbers and 0" which means the same thing. So that's the answer.
f(x) = 8x
I don't see anything that would make it impossible to evaluate this expression. So its' domain is all real numbers. And you have that as a choice.</span>
<span>length of the line segment does not change. you are just moving it 2 units to the right. answer would be 4 units</span>
Answer:
approximately 3030.5
Step-by-step explanation:
To solve this you need to figure out how many cakes mark can make a day so to do this you divide 4242 by 77 and get 55.09090909 (repeating) so for this lets just round up to 55.1 now all you got to do is multiply 55.1 * 55 and you get 3030.50. so mark can make approximately 3030.5 cakes in 55 days
The # 1 the answer is A
# 2 C