The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

Answers

Answer 1
Answer:

First, you can simplify the function finding the perfect square:

f(x)=-x^2-2x+15=-(x^2+2x)+15=-(x^2+2x+1-1)+15=-((x+1)^2-1)+15=-(x+1)^2+1+15=-(x+1)^2+16.

This form of function gives you the coordinates of parabola vertex - (-1,16).

From the diagram you can see that all values for x are possible, then the domain is x\in (-\infty,\infty) (all real numbers). Also you can see that values of y decrease from y=16 to -\infty, then the range is y\in(-\infty,16] (or {y|y ≤ 16}).

Answer: correct choice is B.

Answer 2
Answer: Since the function is a parabola and there are no discontinuities, the domain is all real numbers. To determine the range, the function has to be transformed into the vertex form.
The vertex form of the function is:
f(x) = -(x+1)2 +16
This means that the graph is facing downwards with the vertex at (-1,16).
So, the range is {y|y ≤ 16}

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Christi buys 48 barrettes. She shares the barrettes equally between herself and her 3 sisters. Write an expression to represent the number of barrettes each girl gets.

Please help me with question 10 (i). Thanks!

Answers

V=πr²h+(2/3)πr³
πr²h+(2/3)πr³=V
πr²h=V-(2/3)πr³
h=(V-(2/3)πr³) / (πr²)
h=V/
πr² - 2/3r

Answer i:  
h=V/πr² - (2/3)r

Data:
V=245
r=7

h=(245 / 49
π) - (14/3)
h=(5/π) - (14/3)
h=(15-14π)/3π
h=-3.075

Answer ii: h=-3.075

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 124 feet from the tower and 3 feet from the tip of the shadow, the person's shadow starts to appear beyond the tower's shadow. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the tower.

Answers

Answer:

ghfvhgfcv

Step-by-step explanation:

Answer:

A six foot person walks from the base of a broadcasting tower directly toward

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 131 feet from the tower and 3 feet from the tip of the shadow, the person's shadow starts to appear beyond the tower's shadow.

Step-by-step explanation:

One inch is equivalent to 2.54 centimeters. How many inches are in 50.8 centimeters

Answers

The number of inches in 50.8 centimeters is 20 inches.

Given that, one inch is equivalent to 2.54 centimeters.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured. The different unit of measurement resulted in the introduction of the "Metric System".

Number of inches in 50.8 centimeters = 50.8/2.54

=20 inches

Therefore, the number of inches in 50.8 centimeters is 20 inches.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

the answer is 20 ^-^.... i think

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

A/5<1
I need help with that ASAP please

Answers

Answer:

a<5

Step-by-step explanation:

a/5<1

5*a/5<1*5

a<5

1. In a certain county, the number of Charter Schools is eleven less than twice the number of Alternative Schools. There are 35 Charter Schools in the county. Which of the following equations would you use to find the number of Alternative Schools, a, in the county? 


Answers

The first choice ... 2a - 11 = 35 ... will lead you to the number of
Alternative Schools 'a' in the county.