Answer:
Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)
Answer:
(x) = x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
= x - 8 ( add 8 to both sides )
+ 8 = x
Change y back into terms of x with x = (x) , thus
(x) = x + 8
The original inequality is -3x+4 > 19
Let's replace x with -4 and see what happens.
-3x + 4 > 19
-3(-4)+4 > 19
12+4 > 19
16 > 19
The last inequality is false, so the original inequality is false when x = -4.
This means x = -4 is not a solution to -3x + 4 > 19
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Let's plug in something larger. Let's say x = -3 which is one space to the right of -4 on the number line.
So we get...
-3x + 4 > 19
-3(-3) + 4 > 19
9 + 4 > 19
13 > 19
This doesn't work either. The value x = -3 is not a solution.
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Let's determine which x values will work by solving for x
-3x + 4 > 19
-3x + 4 -4 > 19-4 ... subtracting 4 from both sides
-3x > 15
-3x/(-3) < 15/(-3) ... divide both sides by -3; inequality sign flips
x < -5
The solution set consists of values smaller than -5
So values like {-6, -7, -8, -9, ...} and decimal values as well in that interval.
Starter info: They bought 5 T-shirts total and $20 worth of sandals. They spent $120 total.
First you subtract the sandal cost from the total price (120-20=100), then you divide the amount of t-shirts (5) by that amount (100). So 100/5=20 so that is the price of the individual T-shirts.
Final answer: $20 per t-shirt