The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.

Part B: Explain what the solution from Part A means in context of the problem.

Answers

Answer 1

Answer:

t =2 , 3

Step-by-step explanation:

s (t) = t^2 + 2 t + 5

p (t) = 11 + 3 t

(a) s (1) = 8

s (2) = 13

s (3) = 20

s (4) = 29

p (1) = 14

p (2) = 17

p (3) = 20

p (4) = 23

Now equate both of them

[tex]t^2 + 2t + 5 = 11 + 3 t \\\\t^2 - t - 6 =0 \\\\t^2 - 3 t + 2t - 6 =0\\\\t(t - 3) + 2 (t - 3) = 0\\\\(t -3)(t-2)=0\\\\t =3, 2[/tex]

(b) It shows that the values are same at = 2 and t = 3.


Related Questions

what is the mass of raisins in a package

Answers

Answer:

Step-by-step explanation:

12

A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?

Answers

Answer:

224 more flowers

Step-by-step explanation:

If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.

Find what 12 times the number of shrubs is:

24(12)

= 288

So, the planner will need 288 flowers in total.

Find how many more he needs to plant by subtracting the current amount of flowers from 288:

288 - 64

= 224

So, the garden planner will need 224 more flowers.

For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI

Answers

I believe the answer is C

math help
please. thank you.

Answers

Answer:

AC=EG AND BC = FG I THINK IT IS ONLY THIS

Answer:

BC=FG

Step-by-step explanation:

Because BC and FG is congruent side of angle A

hope you understand

whats the gcf of 50,40
whats the gcf of 14,56,63

Answers

For 50 and 40 the GCF is 10
For 14,56,63 the GCF is 7
Hope this helps!
Would really appreciate it if given brainleist, thanks!

9514 1404 393

Answer:

107

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

GCF(40, 50)

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

GCF(14, 56, 63)

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

I need help i tried to do this but can't get it.

Answers

Answer: x=5, y=-1

Hope this helps

What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units

Answers

Answer:

49•5

Step-by-step explanation:

A= hb×b÷2

given

hb=height=9

b=base=11

The area of the triangle will be 49.5 square units. Then the correct option is A.

What is the area of the triangle?

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,

A = 1/2 x 11 x 9

A = 11 x 4.5

A = 49.5 square units

The area of the triangle will be 49.5 square units. Then the correct option is A.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ7

What is the 6th term in the geometric sequence described by this explicit

formula?

an= 3.4(n-1)

Answers

Answer:

The 6th term is 3072.

Step-by-step explanation:

x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Answers

Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0.  This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer

Answers

Pi =3.14
V=3.14*r^2*h
V= 3.14*3^2*(7/2)
V = 98.96 cm^3
If you mean how much water is in the glass

Find the X intercepts of the equation f(x) = x^2 - 6x + 6

Answers

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = −6 ± √ 36 + 24

               2x

= −6 ± √60

         −2x

 = −6 ± 2 √ 15

           −2           = 3 ± √15

The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.

Answers

Answer:

5.53°

Explanation:

Law of sines.

Evaluate the expression when m=4.
m^2 + 6m + 8

Answers

Answer:

According to me,

48 is the answers

2. Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x -3
(answer plsss)

Answers

Step-by-step explanation:

I solved for the x hope it's correct

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

can someone pls help me

Answers

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =

Answers

(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that

1000x - 100x = 3123.333… - 312.333…

==>   900x = 2811

==>   x = 2811/900 = 937/300

(b) x = 4.38555…   ==>   100x = 438.555… and 1000x = 4385.555…

==>   900x = 3947

==>   x = 3947/900

(c) x = 37.222…   ==>   10x = 372.222…

==>   9x = 335

==>   x = 335/9

(d) x = 16.292929…   ==>   100x = 1629.292929…

==>   99x = 1613

==>   x = 1613/99

(e) x = 2.333…   ==>   10x = 23.333…

==>   9x = 21

==>   x = 21/9 = 7/3

what is the volume of the cylinder

Answers

I think the answer is C

I'm not sure

Cual es la raiz cudrada de 2

Answers

Answer:

1.4142135

Step-by-step explanation:

need help pleaseee!!!

Answers

Answer:

it should be the third option

Step-by-step explanation:

I hope this help

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.

Answers

The U.S. Mint makes commercial circulation coins including commemorative collector's coins including investor bullion coins.In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]

heaviest[tex]\bold{=5.69\ g\\\\}[/tex]

lightest[tex]\bold{=5.65\ g\\\\}[/tex]

Evaluating each expression:  

[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]

Learn more:

brainly.com/question/20845315

The length of the pencil is 8x + 2 and length of pen is 4x + 1. Find the difference between their lengths.

Answers

4x+1

explanation in the photo

Answer:

4x + 1

Step-by-step explanation:

(8x + 2) - (4x + 1)

subtract the terms that are common,,

8x-4x=4x

2-1=1

therefore, it would be 4x + 1

if you need more help with these, feel free to sub to gauthmath on subreddit

The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular

Answers

i think a is 12 sorry if it's wrong

Solve 3x^2+19x +6 please help

Answers

Answer:

(3x + 1)(x + 6)

3x^2 + 19x + 6

3x^2 + 18x + x + 6

3x^2 + 18x + x + 6

3x(x + 6) + x + 6

3x(x + 6) + x + 6

(3x + 1)(x + 6)

Haven't done this in a pretty long time so I might be wrong

plz help me solving this question ​

Answers

Answer:

Step-by-step explanation:

3) Surface area of cube = 6a² where a is side of the cube.

a)  a = 6 cm

Surface area of cube = 6 * 6*6 = 216 cm²

b) a = 4.5 cm

Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²

4)  Area of cuboid = A = 2(lb + bh + hl)

a) l = 10 cm ; h = 6 cm  ; A = 376 cm²

  A = 376

2(lb + bh + hl) = 376

2(10b + 6b + 60) = 376

2*( 16b + 60) = 376

 2*16b + 2*60 = 376

     32b + 120 = 376

        32b  = 376 - 120

          32b = 256

             b = 256 / 32

b = 8 cm

5) Surface area  of cube = 150 cm²

6a² = 150

Divide both sides by 6

a² = 150/6

a² = 25 = 5*5

a = 5 cm

6)  l = 15 cm ; b = 12 cm ; h = 10cm

Lidless. so area of top portion is not included

Surface area of lidless cuboid = 2(hb + hl) + lb

                                                  = 2*(10*12 + 10*15) + (15*12)

                                                  = 2*(120 + 150) + 180

                                                  = 2* 270 + 180

                                                  = 540 + 180

                                                   = 720 cm²

Step-by-step explanation:

Q5:Find the length of each side of the cube whose Total surface area are given below:

(B)2400cm^2

Solution:

T.S.A= 6a^2 [ we have to find a]

2400=6a^2

2400/6=a^2

400=a^2

a=squareroot of 400

=20

So, 20cm is the length of a cube.

What type of conic section is the following equation?
5x^2-y=12

Answers

Answer:

The conic section for the equation 5x^2 - y = 12 is parabola

Identify the coordinates of the vertices of the polygon.Identify the coordinates of the vertices of the polygon.

A. (3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
B. (–3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
C. (3,5), (–6,1), (–3,–4), (–5,0), (7,–3)
D. (3,5), (6,1), (–3,–4), (0,–5), (7,–3)

Answers

Answer:

A

Step-by-step explanation:

The coordinates are (3,5),(7,-3),(0,-5),(-3,-4) and (-6,1). So the correct option is A

Find the value of x.

A. 75
B. 80
C. 57
D. 40

Answers

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

What are the Angles of Intersecting Secants Theorem?

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

Learn more about the Angles of intersecting secants here:

brainly.com/question/15532257

#SPJ2

Please hurry I will mark you brainliest

Answers

Step-by-step explanation:

I think you first have to calculate a°,this can be done by first finding c°

c°=180-125

=55°

opposite angles in a quadrilateral add up to 180

therefore a°=180-55

=125

therefore angle d

180-125

=55

I hope this helps

HELP ASAP
THANK YOU!!!

Answers

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

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