1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
Answer: you can rent the kayak for 5.3 hours
Step-by-step explanation:
Total amount of money that you have to spend at the beach is 50.
A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.
Total amount spent = 5x + 8.50
Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore
5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5
x = 26.5/5 = 5.3
Answer:
True
Step-by-step explanation:
Simple random sampling chooses at random members of the population. This allows all members an equal probability of being selected for the sample.
The value of the angle 
within the quadrilateral 
inscribed the circle is 142°.
Let suppose that quadrilateral is a parallelogram. Then, the following conditions must be fulfilled:
In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:
(4)
If we know that 
, then the value of 
.
Based on all these finding, we conclude that the value of the angle within the quadrilateral inscribed the circle is 142°.
To learn more on parallelograms, we kindly invite to check this verified question: brainly.com/question/555469
Answer:
- a) x = 4
- b) y = 1.25x + 15
- c) (-12, 0)
Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
<u>It means its equation is:</u>
b) RQ is parallel to OP.
Parallel lines have equal slopes.
<u>Find the slope of OP:</u>
RQ has slope of 1.25 and passes through (- 8, 5).
<u>Find its equation using point-slope form:</u>
- y - 5 = 1.25(x - (-8))
- y - 5 = 1.25x + 10
- y = 1.25x + 15
c) <u>The x-intercept is determined at y = 0:</u>
- 0 = 1.25x + 15
- 1.25x = - 15
- x = - 15/1.15
- x = - 12
