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3 years ago

The graph of a quadratic function is shown. Check all of the following statements that are true of the function.

Mathematics

1 answer:

Fed [463]3 years ago

4 0

Answer:

a < 0

The vertex is (1,2)

Step-by-step explanation:

Looking at the graph

we have a vertical parabola open downward

The leading coefficient is negative

The vertex is a maximum

The vertex is the point (1,2)

The axis of symmetry is equal to the x-coordinate of the vertex, so the axis of symmetry is x=1

The y-intercept is the point (0,1)

The function has two real solutions (zeros of the function) one positive and one negative

The positive zero of the function is greater than 2

The negative zero of the function is greater than -1

Verify each statement

case 1) a < 0

The statement is true

Because the parabola open downward

case 2) The vertex is (1,2)

The statement is true

The vertex in this problem is the maximum of the function

case 3) The axis of symmetry is y =2

The statement is false

Because the axis of symmetry is x=1

case 4) x = 2 is a zero of the function

The statement is false

Because the positive zero of the function is greater than 2

case 5) (1,2) is a minimum

The statement is false

Because the vertex in this problem is a maximum

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A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6%

Georgia [21]

Answer:

$\% E = 0.9 \%$

$\%E_1 = 10.1 \%$

Step-by-step explanation:

From the question we are told that

The probability that an employees suffered lost-time accidents last year is $P(e) = 0.06$

The probability that an employees suffered lost-time accident during the current year is

$P(c) = 0.05$

The probability that an employee will suffer lost time during the current year given that the employee suffered lost time last year is

$P(c | e) = 0.15$

Generally the probability that an employee will experience lost time in both year is mathematically represented as

$P(c \ n \ e) = P(e) * P(c \ |\ e)$

=> $P(c \ n \ e) = 0.06* 0.15$

=> $P(c \ n \ e) = 0.009$

Generally the percentage of employees that will experience lost time in both year is mathematically represented as

$\% E = P(e \ n \ c ) * 100$

=> $\% E = 0.009 * 100$

=> $\% E = 0.9 \%$

Generally the probability that an employee will experience at least one lost time accident over the two-year period is mathematically represented as

$P(e \ u \ c) = P(e) + P(c) - P(e \ n \ c)$

=> $P(e \ u \ c) = 0.06 + 0.05 - 0.009$

=> $P(e \ u \ c) = 0.101$

Generally the percentage of the employees who will suffer at least one lost-time accident over the two-year period is mathematically represented as

$\%E_1 = P(e \ u \ c) * 100$

=> $\%E_1 = 0.101* 100$

=> $\%E_1 = 10.1 \%$

7 0

3 years ago

How do you solve the slope and y-intercept of a graph?

valkas [14]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

5 0

3 years ago

Read 2 more answers

Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.

Andre45 [30]

Answer: $28,752

Explanation:

The definition of bimonthly is an event that happens once in two months. $-bi$ represents "two", while $-monthly$ represents "event that happens by month.

Given that Glenda receives a salary of $4,792 bi-monthly, we are required to find the earnings per year.

There are 12 months in each year, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

$12/2=6$

Finally, we shall multiply the total number with the salary, which will be $4,792 times 6.

$4792*6=\boxed{28752}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route

Darya [45]

The cat will take 0.8 seconds to catch up with the mouse

Step-by-step explanation:

Given:

The distance between the cat and the mouse = 4 feet

cat's speed = 17 feet per second.

mouse's speed = 12 feet per second

To Find:

how long will it take the cat to catch up with the mouse = ?

Solution:

We know that

distance = speed x time

Rewriting the equation for time we get

time = $\frac{distance }{speed}$

now we know that distance is 4 feet

and the speed is 17 -12 = 5 feet per second

Thus the time is

= $\frac{4}{5}$

= 0.8 seconds

4 0

3 years ago

How do you slove this

GaryK [48]

No she didn't write it correct.

it is soppose to be like this 72,506.
seventy-two thousand five hundred and six

5 0

3 years ago