Question 2 Solve the problem below using a graphing calculator. Estimate o points

The height of a cable that runs between two supports on a suspension bridge can be modeled by a quadratic function () where is t

Murrr4er [49]

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

Learn more about quadratic functions here:

brainly.com/question/10606041

5 0

3 years ago

What is the answer for 35 3/4 - 1/8

BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

4 0

4 years ago

magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

3 years ago

What group of numbers does -2 belong to?

Marizza181 [45]

Answer: Integers and Rational Numbers

Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.

Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.

So, -2 belongs in Integers and Rational Numbers

Hope this helps!

3 0

4 years ago

Draw a quadrilateral that does not belong then explain why

tatyana61 [14]

Answer:

a kite

Step-by-step explanation:

6 0

3 years ago