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The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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Answer:

m = 1/7

Step-by-step explanation:

Step-by-step explanation:

\(3\left(x-4+1\cdot \:b\right)=8\)

\(\mathrm{Divide\:both\:sides\:by\:}3\)

\(\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}\)

\(\mathrm{Simplify}\)

\(x-4+b=\frac{8}{3}\)

\(\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}\)

\(x-4+b-b=\frac{8}{3}-b\)

\(\mathrm{Simplify}\)

\(x-4=\frac{8}{3}-b\)

\(\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\)

\(x-4+4=\frac{8}{3}-b+4\)

\(\mathrm{Simplify}\)

\(x=-b+\frac{20}{3}\)

\(\\ \rm\Rrightarrow 3(x-4+b)=8\)

\(\\ \rm\Rrightarrow 3x-12+3b=8\)

\(\\ \rm\Rrightarrow 3x+3b=20\)

\(\\ \rm\Rrightarrow x+b=20/3\)

\(\\ \rm\Rrightarrow x=20/3-b\)

6 and 28* (if 28 is included)

Explanation:

First you'll need to understand what a perfect number IS:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.

When you understand what it means you'll understand this question !

Brainliest please!!

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer:    R-squared (pronounced ARRRrrr-squared)

LOL, hope it helped.

Answer: R

That's my answer

Answer:

Step-by-step explanation:

Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.

Answer:

7⅞

Step-by-step explanation:

NO.OF HATS TO BE MADE= 9

YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8

THEN,

TOTAL YARDS OF YARN= 9*7/8

= 63/8

Given to write answer in mixed form= 7⅞

Please mark me as brainliest

Answer:

D

Step-by-step explanation:

Mark Brainliest

Answer

the box that is lebeled 6 is quadrant 1 and the one beside it is quadrant 2 and the one labeled 8 is the third and the last is quadrant 4

Step-by-step explanation:

so like this- go to this link i drew it for you

Answer:111

Step-by-step explanation:

1111

A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,

Mean Height of boys = Sum of height of boys / Number of boys

150 = Sum of height of boys/ 3

Sum of height of boys = 150 x 3 = 450

Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,

Mean Height of girl = Sum of height of girls/ Number of girls

145 = Sum of height of girls/ 2

Sum of height of girls = 145 x 2 = 290

Further, the mean height of five students is,

Mean height of five students = Sum of height of students / Number of students

Mean height of five students = (450 + 290)/ 5

Mean height of five students = 740 / 5

                                                = 148

Hence, the mean height of the five students is 148.

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Answer:

Y intercept (9/4,0)

X intercept (0,-18/5)

Step-by-step explanation:

The x-intercept is (2.25, 0) and the y-intercept is (0, -3.6).

To find the x-intercept and y-intercept of the line represented by the equation 8x - 5y = 18, we need to set one of the variables to zero and solve for the other variable.

1. X-Intercept (where y = 0):

To find the x-intercept, set y = 0 in the equation:

8x - 5(0) = 18

8x = 18

Now, solve for x:

x = 18/8

x = 9/4 or 2.25

So, the x-intercept is (2.25, 0).

2. Y-Intercept (where x = 0):

To find the y-intercept, set x = 0 in the equation:

8(0) - 5y = 18

-5y = 18

Now, solve for y:

y = 18/(-5)

y = -18/5 or -3.6

So, the y-intercept is (0, -3.6).

Therefore, the x-intercept is (2.25, 0) and the y-intercept is (0, -3.6).

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Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  m = 0.47, b = 154.30

  (b)  b = fixed costs, listed as insurance and car payments.

Step-by-step explanation:

(a) All you're required to do here is recognize that the fixed costs of $154.30 for insurance and car payments represent the constant part of the monthly expense. And, the $0.47 per mile represents the mileage-related part of the monthly expense. Of course the mileage-related charge is the product of the per-mile charge ($0.47) and the number of miles (x).

Then the monthly charge is ...

  monthly cost = mileage-related cost + constant (fixed) cost

  y = mx + b

  y = 0.47x + 154.30   ⇔   m = 0.47, b = 154.30

__

(b) The 'b' in the equation is the fixed monthly cost: $154.30 for insurance and car payment.

Answer:

The answer is D. -9 and -3

Step-by-step explanation:

since the graph starts at 1 and goes backwards, it cant be 1. so that rules out A. and B. then it requires the numbers to be negative because if they are a whole number over 1, they don´t fit the inequality. I hope this helps :))

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The solution to the linear equations in three variable are x = 5, y = -11, and z = 3.

It is defined as the relation between three variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The three linear equations:

2x - y + 4z = 33  ..(i)

x + 2y - 3z = -26 ...(ii)

-5x - 3y + 5z = 23 ...(iii)

After solving the above linear equation by elimination method:

From the equation (i):

\(x=\dfrac{33+y-4z}{2}\)  ....(iv)

Plug the above value in the equation (ii) and (iii)

\(\rm \dfrac{33+y-4z}{2}+2y-3z=-26\\\\\\\\ -5\cdot \dfrac{33+y-4z}{2}-3y+5z=23\)

After solving the above linear equation in two variables:

y = -11

z = 3

Plug the above values in the equation (iv)

We get the value of x:

x = (33-11-3(4))/2

x = (33-11-12)/2

x = 10/2

x = 5

Thus, the solution to the linear equations in three variable are x = 5, y = -11, and z = 3.

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The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

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Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

Answer:

The number is gradually increasing representing the people entering the park, the number becomes constant after a while , and lastly the people are starting to leave causing the decline on the graph.

Step-by-step explanation:

This the plebian explanation of how my teacher it.

The graph is showing the entry of the people in the amusement park.

A graph represents the data on the vertical and horizontal coordinates so we can see the trend of the data.

A graph is a structure that resembles a set of items in mathematics, more specifically in graph theory, in which some pairings of the objects are conceptually "connected."

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

As more people visit the park, the number progressively rises; after a while, it stabilizes; and finally, as more people start to leave, it begins to drop on the graph.

Therefore, the graph is showing the entry of the people in the amusement park.

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Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer:

x=70

Step-by-step explanation:

Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).

We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:

x+35=105

Subtract both sides by 35

x+35-35=105-35

x=70

Therefore, the value of x is 70 degrees.

I hope this helps!

Answer: D. Square

Step-by-step explanation:

The shape created by the cross section of the cut through a square pyramid is a square.

To see why, imagine the pyramid sitting on a table with its square base flat against the surface. The cut goes through the vertex, which is the point at the top of the pyramid. Since the cut is perpendicular to the base, it divides the pyramid into two smaller pyramids with congruent, but not identical, bases. Each of these smaller pyramids has a triangular base that is an isosceles right triangle. The two triangles share a common hypotenuse, which is the line of the cut.

The cross section of the cut is the shape formed where the two triangles meet along the hypotenuse. Since both triangles are congruent and the hypotenuse is the same for both, the cross section is a square. The sides of the square are equal to the base of the original pyramid, which is one of the legs of the isosceles right triangles formed by the cut. Therefore, the answer is D, a square.

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17   _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Answer:

The answer is t + 4/ t - 4

Step-by-step explanation:

Find the square root of 16. Square root of 16 is four

Now split t^2 into two ts

Put them together and:

(T + 4)(t - 4)/(t - 4)(t - 4)

Simplify:

(T + 4)/(t - 4)

Step-by-step explanation:

What did the Rana rulers do to please the British rulers?