Answer:
1) x > -12
Step-by-step explanation:
first, subtract 7 from each side of the inequality to get:
-2/3x < 8
multiply each side by the reciprocal of -2/3 which is -3/2 to get:
x > -24/2
notice the symbol has been reversed because that is the rule whenever you multiply or divide an equality be a negative value
simplified, answer is x > -12
Answer:
8/15
Step-by-step explanation:
The reason is because to multiply, you take the reciprocal of the fraction...
So
4/5/3/-2, right? So that's basically -4/5 ÷ 3/-2 so 4/5 * -2/3. The reciprocal of a fraction is literally just flipping it. Now, you know how to multiply, right?
-4/5 * -2/3 = (you can't simplify) 8 (negative times negative = positive) / 5*3
so 8/5*3 = 8/15. 8/15 is 0.53333, or you can just keep it as a fraction.
Answer:
If x = time in seconds, the answer is 1 second.
Step-by-step explanation:
The question is asking for the maximum height and the time it was achieved, so in terms of a graph, it is the vertex coordinates. Luckily this equation is in vertex form, so it gives us those points. The -1 in the equation is the x, but you invert this sign, because even thought the value on the graph is positive, it tells you to subtract 1, therefore adding -1, so for this part (the x part of the equation) remember to invert the sign.
The other part (the height) comes from the equation adding 45 at the end. This is the highest y point, and therefore the answer is (1,45), 1 second for 45 meters high.