To find the reciprocal, flip the fraction!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is helpful to understand that the product of the binomial factors is ...
(ax +b)(cx +d) = ac·x² +(ad+bc)x +bd
For these problems you only need to look at the constant and the leading coefficient to find the missing values.
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1. d = 8/-4 = -2
2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1
3. a = 2/c = 1; d = -24/b = 6
Answer:
37
Step-by-step explanation:
There are 2 ways to do this, the first is to just count the number of shaded squares (35)
The second is to find the area of the larger shaded square and subtract the smaller un-shaded rectangles
The large square is 7x7=49 squares
There are two 2x3 rectangles, which are 6 each
49-6-6=37
Answer: 500x + 700 > 120000
Step-by-step explanation:
Let x represent the number of castles he must conquer in order to break the record.
The site awards him 700 points for joining the game and another 500 points for every castle he conquers. This means that if he conquers x castles, the total number of points that he would have is
500x + 700
Greg needs to score more than 120,000 points to beat an online gaming site record. Therefore, the inequality that Greg could use to calculate the number of castles he must conquer in order to break the record is
500x + 700 > 120000
Answer:
B. y=3x+12
Step-by-step explanation:
Hi there!
We want to find out which equation is equivalent to -6x+2y=24
The equation is currently written in standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b CANNOT equal zero
We can change the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, as all of the answer options are in slope-intercept form.
To do that, we'll need to isolate y by itself on one side
So let's add 6x to both sides to remove it from the left side
-6x+2y=24
+6x +6x
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2y=6x+24
Now divide both sides by 2 to get the value of y by itself (1y)
y=3x+12
The answer is B. y=3x+12
Hope this helps!
