An NFL kicker will get paid based on the average hang time of his kicks. His average hang time is modeled by the following question: h=-16t^2 +97.6t. How many seconds do his kicks remain in the air on average?

Answer:

1) Please find attached the graph sowing the line of symmetry

The symmetry line is a vertical line passing through (2, -9)

2) The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

The given function is;

f(x) = x² - 4·x - 5

The data values are generated as follows;

x,          f(x)

-1,         0

-0.8,    -1.16

-0.6,    -2.24

-0.4,    -3.24

-0.2,    -4.16

0,         -5

0.2,      -5.76

0.4,      -6.44

0.6,     -7.04

0.8,     -7.56

1,         -8

1.2,      -8.36

1.4,      -8.64

1.6,      -8.84

1.8,      -8.96

2,        -9

2.2,     -8.96

2.4,      -8.84

2.6,     -8.64

2.8,     -8.36

3,        -8

3.2,     -7.56

3.4,     -7.04

3.6,     6.44

3.8,     -5.76

4,        -5

4.2,      -4.16

4.4,     -3.24

4.6,     -2.24

4.8,      -1.16

5,           0

The minimum is found from differentiating the function, f(x), with respect to x and looking for the zeros of the result  as follows;

f'(x) = 2·x -4

f'(x) = 0 = 2·x -4

x = 2

The y-coordinate gives; f(2) = 2² - 4×2 - 5 = -9

Therefore, the symmetry line is a vertical line passing through (2, -9)

The x-intercept is the point at which y = 0, therefore, from f(x) = x² - 4·x - 5, we have;

0 = x² - 4·x - 5 = (x - 5)·(x + 1)  

Therefore, the x-intercept are x = 5 or -1

The x-intercept are (5, 0) and (-1, 0)

The y-intercept occur at the point where the x value = 0, therefore, we have;

The y-intercept occur at y = f(0) = 0² - 4·0 - 5 = -5

The y-intercept is (0, -5)

Re-writing the  equation in vertex form y = a(x - h)² + k gives;

f(x) = x² - 4·x - 5 = 1·(x - 2)² - 9

Therefore, the vertex is (2, -9)

Answer:

see attached graph

The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

3x = 6

Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

Answer:

x = 2 Hfizfifsits96eotst9s

Answer:

x=6

Step-by-step explanation:

13(x-3) = 39

Divide each side by 13

13/13(x-3) = 39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6 ,is right.

6-3=3&multiply 13=39

so answer is x=6

mark brainleast plz

Answer:

375 mm cubed

Step-by-step explanation:

The volume would stay the same because the same number of the same pennies are being used.

If the question was asking for the surface area, then the answer would be different.

Hope that helped!!! k

Answer: 375 mm cubed

Answer:

x= 36 km

Step-by-step explanation:

Vince went on a 3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walk on the 1st day of the trip?

Assume vince walked x km on the first day .

The following equation can be formed

x + 3/4 x + (3/4)^2 x = 83.25

x + 0.75x + 0.5625x = 83.25

Add the like terms

2.3125x = 83.25

Divide both sides by 2.3125

x = 36 km.

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

=-5 +4

= -1

put a dot on -1 and go from -5 to -1 and then from -1 to -5

Answer:

Step-by-step explanation:

y=2/5x-12 it is a linear equation in the form of y=mx+b

the best way to know is to graph the function

Answer:

[tex]\huge \boxed{9}[/tex]

Step-by-step explanation:

3 raised to 2 is 3 to the power of 2.

[tex]3^2 =3 \times 3 = 9[/tex]

3 is multiplied by itself.

Answer:

3x^2

Step-by-step explanation:

Given:

(3x) * {(1/x)^-4 }* (x^-3)

=(3x) * {1 ÷ (1/x)^4} * {1/x^3}

=(3x) * {1(x/1)^4} * (1/x^3)

=(3x) * (x^4) * (1/x^3)

=(3x) (x^4) (1) / x^3

Multiply the denominators

=3x^5 / x^3

Can also be written as

=3*x*x*x*x*x / x*x*x

Divide the x

= 3*x*x / 1

=3x^2

Answer:

23×x

=23x

Hope it helps

Answer:

23x

Step-by-step explanation:

"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.

The other answer is correct, its both !<3

Answer:

Both

Step-by-step explanation:

Both Tori and Gavin are correct, the two methods work. Completed this in Khan Academy, it's correct.

Answer:

h=6.003 cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]

1/3×22/7×7×7×h=308

h=308/51.3

Answer:

h = 6 cm

Step-by-step explanation:

r = 7 cm

Volume of cone = 308 cm³

[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]

h = 6 cm

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

Answer:

g = 1

Step-by-step explanation:

-3 + 5 + 6g = 11 - 3g

Move the variables to one side and the numbers to the other:

9g = 9

Simplify:

g = 1

Answer:

g=1

Step-by-step explanation:

-3+5=2

2+6g=8

11-3g=8

makes sense that g will have to be 1

Answer:

-x^2 - 3

Step-by-step explanation:

SO we know f(x); x^2

when you place a (-), it flips teh image across the x-axis.

Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.

So we have -x^2-3

(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)        

I checked my answer on a calculator btw lol.

Answer:

same day = 25

advanced = 40

Step-by-step explanation:

Let a = advanced tickets

s = same day tickets

s+a = 65

25a+35s = 1875

Multiply the first equation by -25

-25s -25a = -1625

Add this to the second equation

25a+35s = 1875

-25a -25s= -1625

---------------------------

     10s = 250

Divide each side by 10

10s/10 = 250/10

s =25

Now find a

s+a = 65

25+a = 65

a = 40

Answer: same day = 25

advanced = 40

Answer:32

Step-by-step explanation:

if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old

Answer:

The answer is 32.

Step-by-step explanation:

If Celine is 28 and Drake is four years older than her, we do 28+4.

Answer: Infinitely many solutions

Step-by-step explanation:

The lines is on top of each other so this makes it many solution.

It can't be NO solution because the lines are not parallel  to each, which means  they will not intersect.

It  can't be one solution because the lines doesn't intersect.

It can't be two solutions because the lines never intersect and they never intersect twice either.

Answer:

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

Step-by-step explanation:

[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex]

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

[tex] = - \frac{1}{81} [/tex]

I hope it helps

Answer:

The properties and characteristics of the sum of two cubes

1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes

The properties and characteristics of the difference of two cubes

1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes

Step-by-step explanation:

The sum and difference of two cubes are;

a³ + b³, and a³ - b³

Factorizing the expressions for the sum and difference of two cubes can be shown as follows;

Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)

Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).

Answer:

An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.

Step-by-step explanation:

i didnt see a figure above but this is the answer to "what is the measure if obtuse angle in degrees?"

Answer:

12

Step-by-step explanation:

The square root of any number is basically asking "what number multiplied by itself will equal this number?"

Usually you memorize these, but there's also a quick way to do it.

We know that [tex]10\cdot10=100[/tex], so the square root must be greater than 10.

We also know that [tex]15\cdot15=225[/tex], so the square root must be less than 15.

A good mid point between these numbers is 13. Let's see what 13 squared is:

[tex]13\cdot13=169[/tex]

So it's a bit less than 13. Let's try 12.

[tex]12\cdot12=144[/tex]

So 12 is the square root of 144.

Hope this helped!

Answer:

[tex]\huge\boxed{\sqrt{144}=12}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\144=2\cdot2\cdot2\cdot2\cdot3\cdot3=2^2\cdot2^2\cdot3^2\\\\\sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{3^2}=2\cdot2\cdot3=12\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\sqrt{a^2}=a\\\\\text{for}\ a\ge0,\ b\geq0[/tex]

Answer:

its z y and x

Step-by-step explanation:

can i pls get brainliest

[tex]9-i+(-5-i)=9-i-5-i=4-2i[/tex]

Answer:

[tex]\boxed{3^5}[/tex]

Step-by-step explanation:

Hey there!

Look at the image below↓

By looking at the image we can tell the PR expression is [tex]3^5[/tex].

Hope this helps :)

Answer:

Below in bold.

Step-by-step explanation:

Dividing  by primes:

3 ) 243

3 )  81

3 )  27

3)     9

        3.

So the prime factors of 243 are 3 * 3 * 3 * 3 * 3  or  3^5.

Answer:

A

Step-by-step explanation:

Khan academy

The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Function g can be thought of as a scaled version of f(x)=|x|

The function f(x):

f(x) = |x|

The blue lines represent the function f(x)

First reflect the function f(x) around the x-axis

F(x) = -|x|

Multiply by the factor 4 to stretch the function:

g(x) = -4|x|

Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Answer:

TRUE

Step-by-step explanation:

Length of other leg [tex]= \sqrt {12^2 - 8^2} \\

= \sqrt {144 -64} \\

= \sqrt {80} \\

= 4\sqrt {5} \\[/tex]

Since, [tex] \sqrt 5[/tex] is an irrational number, hence Perimeter of triangle will also be irrational.

TRUE

Answer:

True.

Step-by-step explanation:

The length of the other side = sqrt ( 12^2 - 8^2)

= sqrt (144 - 64)

= sqrt ( 80) which is irrational so the perimeter is also irrational.

(The sum of a rational number and an irrational is irrational).

Answer:

6 sqrt(3) = y

Step-by-step explanation:

We can use the leg rule to find y

hyp      leg

----- = -------

leg        part

9+3      y

----- = -------

y       9

Using cross products

12*9 = y^2

108 = y^2

Taking the square root of each side

sqrt(108) = sqrt(y^2)

sqrt(36 *3) = y

6 sqrt(3) = y

Answer: B) 6/3 units

Step-by-step explanation:

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

Answer:

Step-by-step explanation:

3x² + 7x - 6 = 3x² + 9x - 2x - 2*3

                  = 3x (x + 3) - 2(x +3)

                  = (3x - 2)(x + 3)

Area of the rectangle = 3x² + 7x - 6

length * width = 3x² + 7x - 6

length * (x + 3) = (3x -2)(x +3)

          length = [tex]\frac{(3x-2)(x+3)}{(x+3)}[/tex]

          length = (3x - 2)