What are the solutions?

Answer:

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Answer:

About 1.85 seconds and 13.15 seconds.

Step-by-step explanation:

The height (in feet) of the rocket t seconds after launch is given by the equation:

[tex]h = -16t^2 + 240 t[/tex]

And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.

Thus, let h = 390 and solve for t:

[tex]390 = -16t^2 +240t[/tex]

Isolate:

[tex]-16t^2 + 240 t - 390 = 0[/tex]

Simplify:

[tex]8t^2 - 120t + 195 = 0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]

In this case, a = 8, b = -120, and c = 195. Hence:

[tex]\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}[/tex]

Evaluate:

[tex]\displaystyle t = \frac{120\pm\sqrt{8160}}{16}[/tex]

Simplify:

[tex]\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}[/tex]

Thus, our two solutions are:

[tex]\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx 13.15 \text{ or } t = \frac{30-\sqrt{510}}{4} \approx 1.85[/tex]

Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.

Answer:

B is the correct answer of this question

Answer:

4 walls in my room. The shape of my room is square and my ceiling in square. By looking at it and measuring it. Thats how I found my answer.

I believe this is correct if it is can you mark brainliest? Hope I helped!!!! :)

Answer:

8 walls etc....

Step-by-step explanation:

Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

1/3

Answer:

1/3

Step-by-step explanation:

total number of marbles 21

blue marbles 7

now ,probability of blue marble =7/21=1 /3

Answer:

(2,-1)

Step-by-step explanation:

Solved using math.

Answer:

The solution is (2, -1) to show this by graphing do y = -1 by making a straight horizontal line at (0,-1) . And then for the other equation make a line where it starts at (0,4) and passes point (2,-1). Just plot those two points and connect them and you'll have made the line.

Step-by-step explanation:

9514 1404 393

Explanation:

1. End behavior is the behavior of the function when the value of the independent variable gets large (or otherwise approaches the end of the domain). There are generally four kinds of end behavior:

Of these, behavior 2 will ultimately look like one of the others.

For polynomials, the function will always approach ±∞ as the independent variable approaches ±∞. Whether the signs of the infinities agree or not depends on the even/odd degree of the polynomial, and the sign of its leading coefficient.

For exponential functions, the end behavior is a horizontal asymptote in one direction and a tending toward ±∞ in the other direction.

For trig functions sine and cosine, the end behavior is the same as the "middle" behavior: the function oscillates between two extreme values.

For rational functions (ratios of polynomials), the end behavior will depend on the difference in degree between numerator and denominator. If the degree of the denominator is greater than or equal to that of the numerator, the function will have a horizontal asymptote. If the degree of the numerator is greater, then the end behavior will asymptotically approach the quotient of the two functions—often a "slant asymptote".

__

2. A polynomial inequality written in the form f(x) ≥ 0, or f(x) > 0, will be solved by first identifying the real zeros of the function f(x), including the multiplicity of each. For positive values of x greater than the largest zero, the sign of the function will match the sign of the leading coefficient. The sign will change at each zero that has odd multiplicity, so one can work right to left to identify the sign of the function in each interval between odd-multiplicity zeros.

The value of the function will be zero at each even-multiplicity zero, but will not change sign there. Obviously, the zero at that point will not be included in the solution interval if the inequality is f(x) > 0, but will be if it is f(x) ≥ 0. Once the sign of the function is identified in each interval, the solution to the inequality becomes evident.

As a check on your work, you will notice that the sign of the function for x > max(zeros) will be the same as the sign of the function for x < min(zeros) if the function is of even degree; otherwise, the signs will be different.

The solution to a polynomial inequality is a set of intervals on the real number line. The solution to a polynomial equation is a set of points, which may be in the complex plane.

__

3. A composite function is a function of a function, or a function of a composite function. For example f(g(x)) is a composite function. The composition can be written using either of the equivalent forms ...

  [tex](f\circ g)(x)\ \Leftrightarrow\ f(g(x))[/tex]

It can be easy to confuse an improperly written composition operator with a multiplication symbol, so the form f(g(x)) is preferred when the appropriate typography is not available.

When simplifying the form of a composition, the Order of Operations applies. That is, inner parenthetical expressions are evaluated (or simplified) first. As with any function, the argument of the function is substituted wherever the independent variable appears.

For example, in computing the value f(g(2)), first the value of g(2) is determined, then that value is used as the argument of the function f. The same is true of other arguments, whether a single variable, or some complicated expression, or even another composition.

Note that the expression f(g(x)) is written as the composition shown above. The expression g(f(x)) would be written using the composition operator with g on the left of it, and f on the right of it:

  [tex](g\circ f)(x)\ \Leftrightarrow\ g(f(x))[/tex]

That is, with respect to the argument of the composition, the functions in a composition expression are right-associative. For example, ...

  for h(x)=2x+3, g(x)=x^2, f(x)=x-2 we can evaluate f(g(h(x)) as follows:

  f(g(h(x)) = f(g(2x+3) = f((2x+3)^2) = (2x+3)^2 -2

It should be obvious that g(h(f(x)) will have a different result.

  g(h(f(x)) = g(h(x-2)) = g(2(x-2)+3) = (2(x-2)+3)^2

=========================================================

Explanation:

The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8

Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.

The numbers 9x and 8x add up to 187, so,

9x+8x = 187

17x = 187

x = 187/17

x = 11

Which then means

are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.

Answer:

99 and 88

Step-by-step explanation:

Let the two number be 9x and 8x

Add together

9x+8x = 187

17x = 187

Divide by 17

17x/17 = 187/17

x = 11

The numbers are

9*11 = 99

and 8*11 = 88

Answer:

2a^4c-2ac^2-15

Step-by-step explanation:

Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.

Answer:

[tex]2a^4c-2ac^2-15[/tex]

Step-by-step explanation:

[tex]6a^4c+8ac^2-4a^4c-15-10ac^2[/tex]

We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms,

[tex]6a^4c-4a^4c[/tex] and [tex]8ac^2-10ac^2[/tex]

[tex]6a^4c-4a^4c+8ac^2-10ac^2-15[/tex]

Add similar elements:

[tex]2a^4c+8ac^2-10ac^2-15[/tex]

Add, [tex]8ac^2-10ac^2=-2ac^2[/tex]

[tex]=2a^4c-2ac^2-15[/tex]

OAmalOHopeO

Answer:

153250

Step-by-step explanation:

153250

Answer:

(b) Reserves with the bank of Ghana

Answer:

2x^3 - 9x^2 + 7x + 6

Step-by-step explanation:

(2x + 1)(x - 3)(x - 2)=2x^3 - 9x^2 + 7x + 6

Answer:

15x-9x=6x

please mark me as brainliest

Answer:

6x.

Step-by-step explanation:

15x - 9x = 6x.

30,20 and 10

30 + 20 + 1/3×30 = 60

50 + 10 = 60

60 = 60

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Answer:

D

Step-by-step explanation:

Answer:

6 1/8th cups in 3/4 cups

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you convert 3/4 into 8ths which will be 6/8

Answer:

28

Step-by-step explanation:

Find the gcf

Answer:

see below

Step-by-step explanation:

Part A

The slope is found by

m = ( y2-y1)/(x2-x1)

    = ( 1200-1500)/(4-0)

    = -300/4

    =-75

Part B

point slope  y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y-1200 = -75(x-4)

slope intercept  y = mx+b  where m is the slope and b is the y intercept

y = -75x + 1500

standard form  Ax+By =C

75x + y = 1500

Part C

Change y to g(x) in the slope intercept form

g(x) = -75x + 1500

Part D

Let x = 5

g(5) = -75(5) + 1500

      =-375+1500

      =1125

Answer:

540 and 50 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

Answer:

(3, -5) (4, -5) (2, -7)

Step-by-step explanation:

An integer is any whole number that is not a fraction, they include -10204, -3, 0, 5, and 8592. (random numbers)

A coordinate with integers can be anything such as (0, 4582) and (547, 42)

However, it can not be (0.45846, 4579) or (54.42, 58).

To determine which points have coordinates that look like they are integers, you just have to select 3 points that lie at the intersection of the y and x value tic marks

You can see that (3, -5) is at the intersection of the x value 3 tic mark and the y value -5 tic mark, while also being on the parabola.

Answer: b) Surveys

When a person does not have enough time he must should take the faster and effective route in this case carlos does not have time for individual interviews or phone calls. Focus group is not used to get feedback it is to discuss about data before a item is launched. Therefore it should be survey because it is used to collect feedback from large amount of people.

Must click thanks and mark brainliest

Answer:

3/4 of a liter

Step-by-step explanation:

2 - 5/4

Get a common denominator

2 *4/4 -  5/4

8/4 - 5/4

3/4

The denominator is 4 so rewrite 2 liters as a fraction with 4 as the denominator.

4/4 = 1 so 2 liters would be 8/4

Now subtract:

8/4 - 5/4 = 3/4

There is 3/4 of a liter left.

Answer:

Step-by-step explanation:

If you mean √200, you cannot write it as V200.

√200 = √(10²×2) = 10√2

Answer:

B.) 2/10

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The sum of side lengths of a rectangle is half the perimeter, so is 15 inches for this brochure. If x is one of the side lengths, then (15 -x) is the other one, and the area is ...

  x(15 -x) = 52

  x^2 -15x = -52 . . . . multiply by -1 and expand

  (x -7.5)^2 = -52 +56.25 = 4.25 . . .  complete the square

  x = 7.5 ±√4.25 ≈ {5.438, 9.562} . . . inches

The longer side is 7+√4.25 ≈ 9.562 inches; the shorter side is 7-√4.25 ≈ 5.438 inches.

Step-by-step explanation:

Start Unlimited: 

$70 for one line

$60 for two lines

$45 for three lines

$35 for four lines

Play More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Do More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Get More Unlimited: 

$90 for one line

$80 for two lines

$65 for three lines

$55 for four lines

Answer:

4 months

As we show that ;

40 + (60x * 4)  = 280

100 + (45x * 4) = 280

but in simultaneous equations Verizon must be set equal to 240 being 80 x 3

and T mobile must be equal to 45 x 4 = 180

so that 240+ 180 = 420 to find 4

This would be a method on distribution as "60 sign up is 1/3 more than 1st equation.

Step-by-step explanation:

This is a simultaneous equation but trial and error is below to prove all is true.

step 1 make all equations same

40s + (60x)      * 3 = 180x  LCM   = 80 x 3   =  1   1/3 of 60

100s + (45x)     * 4 = 180x LCM   = 45  x 4   =  1 of 45 as verizon charges 1/3 more sign up.

100s- 40s + 180x = (180x) =  240 + 180

60s + 180x = 420

s = 60

so our equations must each end with 420

when we get 60s + 180x = 420  then

420 - 180 = 240

240/60 =  4

x = 4 months

Verizon = 1st and T mobile = 2nd

40 + (60x * 5)  = 340

100 + 45x * 5 = 325

with $15 out after 5 months so we try 6 months

40 + (60x * 6)  = 400

100 + 45x * 6 = 370

and see this is increasing in difference, so try a smaller value of months..

We try 4 months;

40 + (60x * 4)  = 280

100 + (45x * 4) = 280

[tex]\\ \rm\longmapsto \sqrt{-18}[/tex]

[tex]\\ \rm\longmapsto \sqrt{18}i[/tex]

[tex]\\ \rm\longmapsto \sqrt{9\times 2}i[/tex]

[tex]\\ \rm\longmapsto \sqrt{3(3)(2)}i[/tex]

[tex]\\ \rm\longmapsto 3i\sqrt{2}[/tex]

Answer:

A. [tex]\displaystyle 3i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sqrt{-18} → \sqrt{[2][-1][9]}\\ \\ 3i\sqrt{2}[/tex]

As you can see, you need a perfect square to wourk with, which in this case is 9. Now, [tex]\displaystyle \sqrt{-1}[/tex] comes out as an imaginary number [tex]\displaystyle [i],[/tex]so pull it out of the radical alongside 3, [tex]\displaystyle \sqrt{9}.[/tex]

I am joyous to assist you at any time.

Answer:

Box E has a greater volume than Box D.

Step-by-step explanation:

Step 1 : Find the volume of Box D.

The formula for volume of a rectangular prism such as this is

height * width * depth

Knowing this, let's substitute the values.

3 * 5 * 1 = 15

The volume of box d is 15 cubic units.

Step 2 : Find the volume of Box E.

height * width * depth

4 * 4 * 1 = 16

The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.

The volume of box E is greater than volume of box D.

The given boxes are in the shape of rectangular prism.

Now find the volumes of each box.

Volume of Box D:

Volume = length×width×height

=3×5×1

=15 cubic units.

Volume of Box E:

Volume = length×width×height

=4×4×1

=16 cubic units.

Hence, the volume of E is greater than volume of D.

To learn more on Volume click:

https://brainly.com/question/13798973

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Answer:

30m^2

Step-by-step explanation:

area of parallelogram is b×h

Answer:

The area of the parallelogram is 30 square meters.

Step-by-step explanation:

The area of a parallelogram is given by the formula:

A = bh

Where b is base and h is height

The base of the parallelogram is:

6 + 4 = 10 m

The height perpendicular to the base is 3 m

Use the formula A = bh:

A = (10)(3)

= 30

So the area of the paralleogram is 30 m^2

Hope this helps!

Answer:

Step-by-step explanation:

Correct choice is C

Answer:

20%

Step-by-step explanation:

80 x 20% = 16 red marbles

Answer:

5x+6

Step-by-step explanation:

f(x) = 3x + 10

g(x) = 2x - 4

(f+ g)(x)= 3x + 10 +  2x - 4

Combine like terms

           = 5x+6