Please Help!!!!
A ball was thrown upward into the air. The height in feet of the ball, above the ground, t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression?
A.) the ball took three seconds to reach its maximum height
B.) the ball took three seconds to reach the ground
C.) the ball was thrown from a height of three feet
​D.) the ball reached a maximum height of three feet

The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function

The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

The function expression is given as:

f(x) =x - 4/x^2 + 13x + 36

Rewrite properly as:

[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]

Expand the denominator

[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]

Factorize the denominator

[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]

Factor out x + 9

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Read more about rational functions at:

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Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Answer:

y can only be greater than x if x has a variable less than y so the answers is ly- lx

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10  + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

   = 3(13) +28

   = 39+28

  =67

so her University costs are $22,500

however she gets some help because

◉ academic scholarship pays 10,000 off of that

◉ other scholarships pay 4,400 off of that

◉ and her parents pay 1800 off of that

what's left? well, what's left is 22500 - 10000 - 4400 - 1800 = 6300 bucks.

so for the next 10 months she needs to cover 6300 bucks of her expenses, now 6300 spread over 10 months is 630 a pop.

Answer:

36 km^2

Step-by-step explanation:

We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36

Answer:

outside the circle

sorry if I'm wrong

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps

Answer:

the answer to that question is 14.09

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

Answer:

the answer is c

Step-by-step explanation:

its c i dont know what the words say tho i need to read what it say first.

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !

Answer:

the first one is the answer

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To determine a linear equation in slope-intercept form:

We're given:

First, find the slope of the line (m):

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (-1,-4) and (5,-2):

[tex]m=\dfrac{-2-(-4)}{5-(-1)}\\\\m=\dfrac{-2+4}{5+1}\\\\m=\dfrac{2}{6}\\\\m=\dfrac{1}{3}[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{1}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\dfrac{1}{3}x+b[/tex]

Now, determine the y-intercept (b):

[tex]y=\dfrac{1}{3}x+b[/tex]

⇒ Plug in one of the points and solve for b:

[tex]-4=\dfrac{1}{3}(-1)+b\\\\-4=-\dfrac{1}{3}+b\\\\-4+\dfrac{1}{3}=b\\\\b=-\dfrac{11}{3}[/tex]

⇒ Therefore, the y-intercept is [tex]-\dfrac{11}{3}[/tex]. Plug this back into our original equation:

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

https://brainly.com/question/4931057

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.

The surface area of this rectangular prism = 2( lb + bh + hl)

  = 2( 26 x 10 + 10 x 8 + 26 x 8)

  = 2(260 + 80 + 208)

  = 2 x 548

  = 1096

Thus, The surface area of this rectangular prism is 1096 square inches.

Learn more about the area;

https://brainly.com/question/6754997

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Answer:

(8/3,11/3) is the centroid of the given triangle

pls do mention in comment if u need full solution

Answer:

(8/3, 11/3)

Step-by-step explanation:

Formula of the centroid

Points

Solving :

Answer:

The answers are: 35 hot dogs & 52 sodas.