Answer:
Most of the functions we have studied in Algebra I are defined for all real numbers. This domain is denoted . For example, the domain of f (x) = 2x + 5 is , because f (x) is defined for all real numbers x; that is, we can find f (x) for all real numbers x.
Step-by-step explanation:
12 1/4- 1 1/2 >>> Convert fractions to decimals:
12.25- 1.5 = 10.75 >>> Convert decimals back to fractions:
10 3/4 >>> Add miles from the morning: 10 + 10 3/4 = 20 3/4 miles
Answer:
D.) 14.2*0.784
Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.
First thing to do, is organize in your mind what is asked of the problem. Since the problem talks about total cost, then you are dealing with monetary units of measurement. Next, you investigate on the variables given and what they represent. Looking at the following expressions, I could not immediately get a hint on what these terms stand for. But for letter c, I deduced that that would be the overall equation representing the total cost.
The first term, 0.25x, must be the cost of the phone units purchased under the plan . That means each cellphone unit used costs $0.25 each. The second term, 2y, must be the cost of data used by the plan. So, that means each megabyte used up costs $2. These two costs must be what is referred to by the additional costs. Lastly, the last term, '55'. is the fixed cost when you subscribe to the amount per month. Hence, the equation in letter C represents the total cost per month.
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
