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

what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\

Answers

Answer:

y - 7 = -4 (x + 2)

Step-by-step explanation:

y - 7 = -4 (x + 2)

Answer choices:
A. 216
B. 367.2
C. 297.4
D. 432

pls help me!!

Answers

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Find the value of x for which the lines a and bare parallel.

Answers

Answer:

B

Step-by-step explanation:

The two angles are alternate interior angles. The have to be equal.

7x + 15 = 148                     Subtract 15 from both sides

7x = 148 - 15

7x = 133                             Divide by 7

x = 133/7

x = 19

B

maths class 9
Multiply: 4√12 2√12

Answers

Answer:

[tex]4 \sqrt{122} \sqrt{12} \\ (4 \times 2) \times ( \sqrt{12} \times \sqrt{12} ) \\ (4 \times 2) \times 12 \\ 8 \times 12 \\ 96[/tex]

The answer:
48 the sign thing 16
Decimal form would be
117.57550765

make a factor tree for 42

Answers

Answer:

The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7

Step-by-step explanation:

hope this helps :)

Hope it helpppppssss !!!!

find the slope of the tangent line of the curve r = cos (3theta) at theta = pi / 3

Answers

The slope of the tangent line to the curve at a point (x, y) is dy/dx. By the chain rule, this is equivalent to

dy/dθ × dθ/dx = (dy/dθ) / (dx/dθ)

where y = r(θ) sin(θ) and x = r(θ) cos(θ). Then

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

Given r(θ) = cos(3θ), we have

dr/dθ = -3 sin(3θ)

and so

dy/dx = (-3 sin(3θ) sin(θ) + cos(3θ) cos(θ)) / (-3 sin(3θ) cos(θ) - cos(3θ) sin(θ))

When θ = π/3, we end up with a slope of

dy/dx = (-3 sin(π) sin(π/3) + cos(π) cos(π/3)) / (-3 sin(π) cos(π/3) - cos(π) sin(π/3))

dy/dx = -cos(π/3) / sin(π/3)

dy/dx = -cot(π/3) = -1/√3

PLEASE HELP, solve for X

Answers

Answer:

27

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(48+x) * 48 = 60^2

(48+x)48=3600

Divide each side by 48

48+x =75

Subtract 48

48+x-48 = 75-48

x =27

Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.

Answers

The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5

Given that

[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]

Now following calculations to be done to reach the conclusion:

There is no false positive as

= 100 - 5.5

= 94.5%

[tex]\hat P =0.945, n = 12[/tex]

Now

[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]

So

P value = P(z >3.08) = 0.0010

Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5

Learn more about the polygraph test here:

brainly.com/question/3790493

225125 in base 6 divided by 101 in base 6

Answers

225125₆/101₆ = 2225₆

One way to arrive at this is to convert both given numbers to base 10, compute the quotient in base 10, then convert back to base 6.

101₆ = 1×6² + 0×6¹ + 1×6⁰ = 37

225125₆ = 2×6⁵ + 2×6⁴ + 5×6³ + 1×6² + 2×6¹ + 5×6⁰ = 19,277

So we have

225125₆/101₆ = 19,277/37 = 521

Next,

521 = 2×216 + 89 = 2×6³ + 89

89 = 2×36 + 17 = 2×6² + 17

17 = 2×12 + 5 = 2×6¹ + 5×6⁰

and so

521 = 2×6³ + 2×6² + 2×6¹ + 5×6⁰ = 2225₆

Or you can use the long division algorithm. Division in base 6 is the same as in base 10, except numerals range from 0 to 5 instead of 0 to 9. See if you can follow this diagram (replaced with an attachment)

Pls help ———————————-

Answers

Answer:

Area of square 1 = 84

Step-by-step explanation:

a^2 + b^2 = c^2

√48^2 + 6^2 = c^2

48 + 36 = 84

area of square 1 = 84
The side of square 1 is 36/4 = 9 so the area = 9x9 = 81
The side of square 2 is 48/4 = 12 so the area = 12x22 = 144
Using Pythagoras the area of square 3 = 144 + 81 = 225 sq.units

You are not asked for the side of square 3 but it is 15 units

In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60

Answers

We know at centroid medians bisect each other in the ratio 2:1.

TY=30Let YW be x

[tex]\\ \sf\longmapsto TY=2x[/tex]

[tex]\\ \sf\longmapsto 2x=30[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Answer:

A

Step-by-step explanation:

On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then

YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15

Lucy drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles

Answers

Answer:

18.9

Step-by-step explanation:

if 200miles = 9gallons

then 420miles = ?

note:if more less divide and if less more divide.

so it is 420/200×9=18.9

Which could be the first step in simplifying this expression? Check all that apply.

Answers

Answer:

[tex](x^{-3})^2[/tex]

Step-by-step explanation:

applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents

I am struggling with this question anyone help

Answers

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.

  y = (x -3)/(x -9) . . . . . . x ≠ -7

The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.

The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).

__

The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.

__

The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.

The appropriate descriptors are ...

Asymptote: x=9, y=1Hole: x=-7

Factorize :solve no g and h ​

Answers

Answer:

Hello,

do you mean factorise but not solve ?

Just one formula:

[tex]\boxed{a^2-b^2=(a-b)(a+b)}[/tex]

Step-by-step explanation:

[tex]g)\\\\16x^3y-81xy^5\\\\=xy(16x^2-81y^4)\\\\=xy(4x^2+9y^2)(4x^2-9y^2)\\\\=xy(2x-3y)(2x+3)(4x^2+9y^2)\\\\\\\\h)\\\\x^8-y^8\\\\=(x^4+y^4)(x^4-y^4)\\\\=(x^4+y^4)(x^2+y^2)(x^2-y^2)\\\\=(x-y)(x+y)(x^2+y^2)(x^4+y^4)\\[/tex]

Answer:

here only one formula to use in both question

a^2+b^2= (a+b)(a-b)

If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°

Answers

Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°

Find the coordinates of the missing endpoint if E is the midpoint of DF.
D(-3,-8), E(1,-2)

Answers

Answer:

F(5;4)

Step-by-step explanation:

Call F(x;y)

cuz E is the midpoint so we have a formula:

(-3+x)/2=1 -> x=5

(-8+y)/2=-2 -> y= 4

so F(5;4)

which equation represent this relation

Answers

Answer:

hello,

answer A c=n+2

Step-by-step explanation:

if n=0 then c=2

if n=2 then c=4

slope=m=(4-2)/(2-0) =2/2=1

c-2=1*(n-0)

c=n+2

\sqrt{2x+1} = 2+\sqrt{x-3}

Answers

Answer:

Square both sides

√(2x+1)=2+√(x-3)

or, 2x+1=(2+√(x-3))²

solving it you'll get two values of x, which are,

x = 4 and x = 12

Answer:

Hello,

x=4 or x=12

Step-by-step explanation:

[tex]\sqrt{2x+1} =2+\sqrt{x-3} \\\\2x+1=4+4\sqrt{x-3} +(x-3)\\\\2x+1-x+3-4=4\sqrt{x-3} \\\\x=4\sqrt{x-3} \\\\ x^2-16x+48=0\\\\\Delta=16^2-4*48=64=8^2\\\\x=\dfrac{16-8}{2} \ or x=\dfrac{16+8}{2}\\\\x=4 \ or\ x=12\\\\Since \ we\ have \ squared \ we\ must\ verify\ the \ solutions\ found:\\\\x=4 \Longrightarrow \sqrt{2*4+1} =? 2+\sqrt{4-3} \Longrightarrow 3 =? 2+1 \\\\x=12 \Longrightarrow \sqrt{2*12+1} =? 2+\sqrt{12-3} \Longrightarrow 5 =? 2+3 \\\\[/tex]

Which equation is equivalent to x^2 +24-8=0?

A.(x+12)^2 =152
B.(x-12)^2=136
C.(x+8)^2=144
D.(x+12)^2 =144

Answers

Answer:

D) is your correct answer

The equation y=1/4x represents a proportional relationship. What is the constant of proportionality?

A. 1/4
B. x
C. 0
D. 4

Answers

Answer:

k = 1/4

Step-by-step explanation:

A proportional relationship is

y = kx  where k is the constant of proportionality

y = 1/4x

k = 1/4

Answer:

a. 1/4

Step-by-step explanation:

1/4 shows the relation of y and x. (that y is one fourth of x)

what's the median of -13.78, -3.01, -2.41, -0.28, 0.66, 0.67, 1.05, 1.39, 2.03, 2.2, 2.64, 4.02

Answers

the median is 0.67 hopefully i didn’t do the math wrong. hope this helps :)

Tell whether the number pair (2,1) is a solution to the equation y = 3x - 5.

Answers

Answer:

Yes

Step-by-step explanation:

Plugging in the values in the equation, we have

1=3*(2)-5, 1=1 which is TRUE

Find the value of x and y in the following figure​

Answers

Step-by-step explanation:

y+80+70=180

y+150=180

y=30

Now you can, easily find x

16. What is the measure of ZAOB?

Answers

Find angle a2 which is 40 degrees because it is parallel to angle c.

Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees

Find d1 and d2 separately.
100 divided by 2 = 50 degrees

Use d1 to find b1 to find total of a1 and a2.

b1 is parallel to d1 so b1 = 50 degrees

a1 and a2 = 180 - 50 - 50 = 80 degrees

a1 = 80 divided by 2 = 40

Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees

Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.

180 - 40 - 50 - 40 = 50 degrees (angle b2)

AOB has b1 and a1.

40 + 50 = 90 degrees (a1 + b1 = AOB)

The answer is 90 degrees

i need help with this question pls! :)

Answers

Hi there!

[tex]\large\boxed{\text{9 quarters}}[/tex]

We can let x = dimes and y = quarters.

We know that one dime = $0.10 and a quarter = $0.25, so:

$3.05 = $0.10x + $0.25y

And:

17 = x + y

Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:

17 - x = y

Substitute this into the top equation for y:

3.05 = 0.10x + 0.25(17 - x)

Distribute and simplify:

3.05 = 0.10x + 4.25 - 0.25x

3.05 = 4.25 - 0.15x

Solve for x:

-1.2 = -0.15x

x = 8

Find y using the above expression:

17 - 8 = y

y = 9

help me please its confusing pleasee

Answers

Answer:

a) -8x³+x²+6x

d) 16x²-9

Step-by-step explanation:

a) -2x(x+4x²)+3(x²+2x)

Expand each bracket:

-2x(x+4x²)

As the -2x is on the outside of the bracket, you have to times everything inside the bracket by -2x.

-2x times x equals -2x²

-2x times 4x² equals -8x³

Then we expand the other bracket:

3(x²+2x)

3 times x² equals 3x²

3 times 2x equals 6x

We then put all of it together:

-2x²-8x³+3x²+6x

Collect like terms:

-8x³+x²+6x

b) (4x-3)(4x+3)

We will use the FOIL method:

F-First

O-outer

I-Inner

L-Last

Times the first two terms in each bracket:

4x times 4x equals 16x²

Times the outer terms in the bracket:

4x times 3 equals 12x

Times the inside terms in the bracket:

-3 times 4x equals -12x

Times the last terms in the bracket:

-3 times 3 equals -9

Put it together:

16x²+12x-12x-9

The 12x and -12x cancel out to leave 16x²-9

Hope this helps :)

-1/4 (x+2)+5=-x I really need help

Answers

Answer:

x = -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-1/4 (x+2)+5=-x

-1/4x-1/2+5=-x

-1/4x+4.5=-x

+1/4x          +1/4x

(4/3) 4.5=-3/4x (4/3)

6=x

x=6

Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12

Answers

Answer: x>12

so i think x is 16.

I need help I don't understand this.

Answers

Answer:

gmvlɛpuyhgn

gteeyolpp

jwjvy

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