Jamal has the better record. After comparing the too Jamal made his free throw 77% of the time. Brian on the other hand made his free throws only 62.5% of the time.
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
0.08
Step-by-step explanation:
![{5}^{ - 2} \times \sqrt[3]{8} \\ \\ = {5}^{ - 2} \times \sqrt[3]{ {2}^{3} } \\ \\ = \frac{1}{ {5}^{2} } \times 2 \\ \\ = \frac{1}{25} \times 2 \\ \\ = \frac{2}{25} \\ \\ =0.08](https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%20%7B2%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B5%7D%5E%7B2%7D%20%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Cfrac%7B1%7D%7B25%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%7D%7B25%7D%20%5C%5C%20%5C%5C%20%3D0.08)
You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).
1. Apply the rotation of 90° counterclockwise about the origin that has a rule:
(x,y)→(-y,x).
Then
- R(-3,-1)→R''(1,-3),
- S(-1,-1)→S''(1,-1),
- T(-4,-5)→T''(5,-4).
2. Second transformation is translation 1 unite up with a rule:
(x,y)→(x,y+1).
So
- R''(1,-3)→R'(1,-2);
- S''(1,-1)→S'(1,0);
- T''(5,-4)→T'(5,-3).
As you can see these points are exactly those from the task condition.
Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up
Answer:
in regards to ratios, think of fractions. If we have a ratio of 3:5, that means that in fraction form we can think of it as
3
---
5
If put this into a calculator (3 divided by 5), you will get a decimal of 0.6 as the answer. This means that any two numbers that divide and come to the same answer are equivalent to 3/5.
Now, from what it appears you are asking, they want you to find two other numbers that come to the same ratio / answer of 0.6, and that these numbers should be double. To do this, simply multiply the numerator and denominator by 2, which is double.
3 x 2 = 6
5 x 2 = 10
So our fraction now is
6
---
10
If you put that into a calculator (6 divided by 10), it will come to the same answer of 0.6. Therefore, this fraction / ratio is equivalent to the original.
If your answer is expected to be in ratio format, then it should be 6:10
Step-by-step explanation:
please mark me as brainlist please
