Answer:
x<-3 or x>-1
Step by step explanation:
Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.
Answer:
h(t) = -16t^2 + 40t + 120
h(t) = -16(t^2 - 5/2*t) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - (5/4)^2) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - 25/16) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2) + 120 + 25
h(t) = -16(t - 5/4)^2 + 145
The rock needs 5/4 = 1.25 seconds to travel to the highest point wich is 145 m high.
The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
<h3>What is probability?</h3>
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
John is playing a game of darts. In this game of dart,
- The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10.
- The probability that he throws the dart into the 10-point ring is 3/10.
The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.
Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,

Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
Learn more about the probability here;
brainly.com/question/24756209
Answer:
1, 4 & 6, 10
Step-by-step explanation:
<h2>
Answer:</h2><h3>False</h3><h2>
Step-by-step explanation:</h2>
Let's find the inverse function of
to know whether this function has an inverse function
. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether
has an inverse function.
Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of
at more than one point. Thus, the function is one-to-one and has an inverse function.
b) Replace
by
in the equation for
.

c) Interchange the roles of
and
and solve for 
![x=(y-3)^3+4 \\ \\ \therefore x-4=(y-3)^3 \\ \\ \therefore (y-3)^3=x-4 \\ \\ \therefore y-3=\sqrt[3]{x-4} \\ \\ \therefore y=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=x%3D%28y-3%29%5E3%2B4%20%5C%5C%20%5C%5C%20%5Ctherefore%20x-4%3D%28y-3%29%5E3%20%5C%5C%20%5C%5C%20%5Ctherefore%20%28y-3%29%5E3%3Dx-4%20%5C%5C%20%5C%5C%20%5Ctherefore%20y-3%3D%5Csqrt%5B3%5D%7Bx-4%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
d) Replace
by
in the new equation.
![f^{-1}(x)=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false