I'll go over part A.
What's happening is that we are plugging some unknown number x into the function, and getting -1 as the result. The function rule is 3*x-7 which translates to "multiply the input number by 3, then subtract off 7"
Notice how multiplication comes first and then we subtract. This is following the order of operations PEMDAS (some books may call it BEDMAS depending on your region). The M for multiplication comes before the S for subtraction.
To isolate x, we follow the order of operations in reverse. We undo the "subtract off 7" then we undo the "multiply by 3"
So this is how it all works out
f(x) = 3x-7
-1 = 3x-7 .... replace f(x) with -1
3x-7 = -1
3x-7+7 = -1+7 ... add 7 to both sides to undo the "-7"
3x = 6
3x/3 = 6/3 ... divide both sides by 3 to undo the "multiplication"
x = 2
Therefore, if the input is 2, then output is -1
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Let's plug x = 2 into the function and see what happens
f(x) = 3x-7
f(2) = 3*2-7 .... replace x with 2
f(2) = 6-7 .... multiply
f(2) = -1 .... subtract
The input x = 2 leads to the output -1
So this confirms that x = 2 is the proper answer for part A
Answer:
Bdjsksoshshwgwbvsgshsjwjjwjsgsyehvejsksusvfebsniybnjgsvtebbjhkkk
I am assuming that the equation is:
based on the answer choices given. As a note, you can write the fraction as (5/2) so that it doesn't just look like 52 (fifty 2).
The equation is written in slope-intercept form. That is, it looks like:
. When written like this the the number in front of x (called the coefficient) is the slope and the number by itself at the end (called the constant) is the y-intercept. If we graphed the line given by the equation the y-intercept is the y-coordinate of the point where the line crosses the y-axis. Here it is 6 and the point is (0,6).
The slope is
. So, what does that mean? The slope tells us something about the "steepness" of the line. It gives the "change is y" over the "change in x." That means that every time the change in y is 5, the change in x is 2. Since the y gives the number of minutes one can run and the x gives the number of laps, what a slope of 5/2 means is that for FOR EVERY 2 LAPS YOU CAN SWIM YOU CAN RUN ANOTHER 5 MINUTES.
Answer:
1. 30ft
2. 0.4 min
Step-by-step explanation:
In this question, apply sine law which states that sine Ф= opposite/hypotenuse
The general formulae; is SOHCAHTOA where ;
(SOH) sineФ=opposite/hypotenuse ; (COH) cosine Ф= adjacent/hypotenuse and (TOA) tan Ф=opposite/adjacent
In the question the height of the two floors is the " c" and the angel at the base is 60° and distance the conveyor travels is the hypotenuse
Hence;
If 75ft=1min
30ft=?........................simple math
30/75 = 0.4 minutes
Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.