A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.

A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)​

Answers

Answer 1

Answer:

C

Step-by-step explanation:

related equation

-16t^2 + 32t + 20 = 0

-4t^2 + 8t + 5 = 0

Δ/4 = 16 + 20 = 36

t1 = (-4 + 6)/-4 = -1/2

t2 = (-4 - 6)/-4 = 5/2

-16(t+1/2)(t-5/2)

-16(2t+1/2)(2t-5/2)

-4(2t+1)(2t-5)


Related Questions

square root of 10 using graph.
please help​

Answers

Step-by-step explanation:

final answer is 4 91 1 6 this is square root of 10

Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.​

Answers

Step-by-step explanation:

this photo is correct answer of this question.

A farmer in China discovers a mammal
hide that contains 71% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years

Answers

Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

[tex]\frac{ln(.71)}{-.0001}=t[/tex] and

[tex]\frac{-.3424903089}{-.0001}=t[/tex] so

t = 3424.9 years, or rounded, 3425 years.

How would the domain and range of the function y = one-fourth x minus 6 be determined? Explain.

Answers

Answer:

Domain = ( -∞ , ∞ )

Range = ( ∞ , ∞ )

Step-by-step explanation:

A function is given to us and we need to find the domain and range of the given function .

The function :-

[tex]\rm \implies y = \dfrac{1}{4}x - 6 [/tex]

Definitions :-

Range :- The range is the set of all valid y values .Domain :- All real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-

Domain :-

[tex]\rm Domain = ( -\infty , \infty ) [/tex]

or

[tex]\rm Domain = \{ x | x \in \mathbb{R} \}[/tex]

Range :-

[tex]\rm Range = ( -\infty , \infty ) [/tex]

or

[tex]\rm Range = \{ y | y \in \mathbb{R}\} [/tex]

Answer:

Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers.

Step-by-step explanation:

what are the x-coordinates of the solutions? Choose all that apply.

a. -2
b. 1
c. -1
d. 0

Answers

Answer:

a. -2

c. -1

Step-by-step explanation:

these are the only values for x, where the 2 equations deliver the same y value.

in case of a. y = -2×-2 - 1 = 4 - 1 = 3

and y = 3¹ = 3

c. y = -2×-1 - 1 = 2 - 1 = 1

y = 3⁰ = 1

The sum of four consecutive numbers is two more than three times the greatest of these numbers. Find the numbers.

Answers

Answer:

9, 10, 11, 12

Step-by-step explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

4x + 6 = 3(x+4) + 2

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

You have 3 pounds of egg whites. You need 8 oz to make one serving of consommé.How many servings can you make?

Answers

I believe it is 24 servings hope it’s right

The number of servings you can make is 6

How to determine the number of servings?

The given parameters are:

Available = 3 poundsContent per serving = 8 oz

Next, we convert oz to pounds

Content per serving = 8 * 0.0625 pound

This gives

Content per serving = 0.5 pound

The number of serving is then calculated as:

Number = Available/Content per serving

This gives

Number = 3/0.5

Evaluate

Number = 6

Hence, the number of servings is 6

Read more about proportions at:

https://brainly.com/question/1781657

#SPJ9

Una bañera en forma de trapecio tiene un area de 60 metro ademas se sabe que su base mayor es 3/2 mas grande que su base menor calcule la altura cuando la base menor es 18 metros

Answers

Respuesta:

3,2 metros

Explicación paso a paso:

Área del trapecio:

A = 1/2 (a + b) h

h = altura; ayb son las bases

Área, A = 60

Sea una base más pequeña = a = 18;

b = 18 + 3/2 = 19,5

La altura se puede calcular así;

60 = 1/2 (18 + 19,5) h

60 * 2 = 37,5 horas

120 = 37,5 h

h = 120 / 37,5

h = 3,2 metros

(Ignore)-Character fill- jsysbssmhzbsskkdhsbsnsdjsvsvsbsjhs

Answers

Step-by-step explanation:

[tex]x = kh \\ x = 33 \\ hj = 4x + 9 \\ x = 9 - 4 \\ x = 5 \\ jk = 3x + 3 \\ x = 3 - 3 \\ x = 0[/tex]

What is 6.273 rounded to the nearest thousandths?

Answers

Answer:

6.270

Step-by-step explanation:

3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.

Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

no pueden hablar otra idioma

Find the circumference of this circle
using 3 for T.
C [?]
3
C = 27r

Answers

Use the formula shown C = 2PIr

r is the radius which is given as 3 and you are told to use 3 for pi:

C = 2(3)(3) = 18

The circumference = 18

A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient

Answers

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

Somebody please help me!!!

Answers

The person above me is correct

Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n

2

4

3

5​

Answers

Answer:

n=5

Step-by-step explanation:

by using

n=(an-a)/a+1

substituting values

n= 7.2-(-7.2)/3.6 +1

n=5

FOR EASY BRAINLIEST ANSWER QUESTION BELOW!

1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition

Answers

Answer:

x > 23/5

Step-by-step explanation:

2x+ 3(x+2)>17

2x + 3x + 6 >17

5x >23

x > 23/5

find the value of the given equation (-155)+(-20) + (-14) + (-133) + (190) + (170) +(-73)​

Answers

Answer:

-37

Step-by-step explanation:

-155-20-14-133-73=-395

190+170=360

-395+360=-37

Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.

Answers

Answer:

Profit % = 11,11 %

Step-by-step explanation:

Answer:

14% profit on shirt/skirt?...

actually as written the question can not be answered....

the start of the problem has gloves, and SHIRT... at the end you want the

profit on a SKIRT

Step-by-step explanation:

gloves sold for 8

shirt sold for 40

.2(48) = 9.60 profit

9.60 - 4 = 5.60 profit of shirt

x(40) = 5.60

14% profit on shirt

Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.

Answers

Answer:

-2.179

Step-by-step explanation:

Given :

Degree of freedom, df = 12

Area to the left = 0.025

The value of T can be obtained using either a t distribution table or a T value calculator :

t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788

Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179

Solve the equation and enter the value of d below. 6d + 7 d= 39​

Answers

Answer:

d=3

Step-by-step explanation:

13d=39

d=39/13

d=3

Hello!

6d + 7d = 39 <=>

<=> 13d = 39 <=>

<=> d = 39 : 13 <=>

<=> d = 3 => 6 × 3 + 7 × 3 = 39

Good luck! :)

The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.​

Answers

one is 1800 and another is 1200

Step-by-step explanation:

let no's be A and B

so, A+B =3000

given, 8% = 8/100 = 2/25

12%= 12/100 = 3/25

As per question 8% of A is = 12% of B

so, (2/25)*A = (3/25)*B

now, multiply cross wise

then we get, (A/B) = 3:2

thus two numbers are in the ratio of 3:2

so, let A =3x, B=2x

cause sum of these is 3000 so, A+B =3000

3x+2x =3000

5x = 3000

x= 3000/5

.: x = 600

so, first no is 3x =3*600=1800

2nd no is 2x= 2*600= 1200

Hope this helps you

Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

Answers

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Answer:

1=9

2=2

3=0

Step-by-step explanation:

Find the measure of the indicated angle

Answers

Answer:

76°

Step-by-step explanation:

180-(2*52)

= 180-104

= 76

Answered by GAUTHMATH

Will mark brainlest helpppp pleaseeeee​

Answers

Answer:

come to mya massanger dk khanal fb user

Step-by-step explanation:

i will teach you by sending picture

I don't have a question

Answers

Answer:

then why are you asking?

Step-by-step explanation:

okay

Find slope if a line pass through the original and (3,2)

Answers

heyy im not sure if you meant origin instead of original but the origin would be (0,0)

Answer:

2/3

Step-by-step explanation:

the slope form equation is :  y2 - y1/ x2-x1 (aka change in y divided by change in x)

so it would be  2-0/ 3-0 = 2/3

the slope is 2/3

At a school picnic, your teacher asks you to mark a field every 10 yards so students can play football. The teacher accidentally gave you a meter stick instead of a yard stick. How far apart in meters should you mark the lines if you still want them?

Answers

Answer:

9.144 meters

.

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

The conversion factor of meters to yards is 1 yard = 0.9144 meters

So set up a proportion

1 yard/0.9144 meters = 10 yards / x    Cross multiply

x = 0.9144 * 10

x = 9.144 meters.

question on the image
(with the steps)​

Answers

Answer:

40°

Step-by-step explanation:

The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,

> x + 70° + 70° = 180°

> x + 140° = 180°

> x = 180° - 140°

> x = 40°

Answer:

40 degrees

Step-by-step explanation:

We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.

Every triangle adds up to 180 degrees.

So, You can just do 180 - (70+70)  

Algebra version:

70 + 70 + x = 180

140 + x = 180  (subtract 140 on both sides)

x = 40

hope this helps :)

QUICKLY!! We know that a triangle with side lengths x^2-1,2x and x^2+1 is a right triangle. Using those side lengths, find the missing triples and x-values.


Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.


Type the correct answer in each box.



x value--------------------pythagorean triple

3 ____________



________ (8,15,17)


5 ______________



__________ (12,35,37)

Answers

Answer:

[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]

Step-by-step explanation:

The given side lengths of the right triangle are;

x² - 1, 2·x and x² + 1

A Pythagorean triple are three numbers, a, b, and c, such that, we have;

a² + b² = c²

From the given side lengths, we have;

We note that (x² + 1) > (x² - 1)

(x² + 1) > 2·x for x > 1

Therefore, with (x² + 1) as the hypotenuse side, we have;

(x² - 1)² + (2·x)² = (x² + 1)²

Therefore, when the x-value is 3, we have;

(3² - 1)² + (2 × 3)² = (3² + 1)²

8² + 6² = 10²

The least is 6² = (2 × 3)², from (2·x)²

Therefore;

The Pythagorean triple is 6, 8, 10

The order of the triple is (2·x), (x² - 1), (x² + 1)

2) The x-value for the triple, (8, 15, 17), is obtained as follows;

The least, 8 = 2·x

∴ x = 8/2 = 4

The x-value = 4

3) The Pythagorean triple where the x-value = 5 is therefore;

(2·x), (x² - 1), (x² + 1), where x = 5 gives;  (2×5 = 10), (5² - 1 = 24), (5² + 1 = 26)

Therefore, the Pythagorean triple where x = 5 is 10, 24, and 26

4) The x-value for the Pythagorean triple (12, 35, 37) is given by 12 = 2·x

Therefore, x = 12/2 = 6

Therefore, we get;

[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]

if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)

Help me find (f+g)(x) please!

Answers

Answer:

[tex](f+g)(x) = 3x^2 - 6[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]

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