What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A/5=50

take 5 to other side

the number in division came in multiplication after changing it's side. that's why,

A=50×5

A=250

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

Answer:

10.63

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

01(x2-x1) = (-1 - -9) = 8

(y2-y1) = (1 - 8) = -7

Square the results and sum them up:

(8)2 + (-7)2 = 64 + 49 = 113

Now Find the square root and that's your result:

Exact solution: √113 = √113

Approximate solution: 10.6301

Answer:

y = 1/2x-3

Step-by-step explanation:

y=mx+b, where m is slope and b is y-int and x and y are variables.

y = 1/2x-3

Plot your point at (8,1) and then use your slope and rise 1 go over 2 then draw your line.

Hope that helps

Answer:

57

Step-by-step explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

Answer:

7inches.

Step-by-step explanation:

the properties of a square is that it has the same length and width (and height. but height isn't needed here).

since the area is 50.4 inch^2, square root this value,

[tex]\sqrt{50.4}[/tex]=7inches.

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

[tex] \: \: \: [/tex]

[tex] \pink{ 5.37}[/tex]

Answer:

B.  y = -2x-25 These lines will intersect

Step-by-step explanation:

y = 2x+25  Which line has one solution to this equation:

A.  y = 2x+25   [This is the same line!  The solutions are infinite.]

B.  y = -2x-25 [These lines will intersect.  They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]

C.  y = 2x-25  [Same slope, 2.  They, also, will never meet.  Pity]

D.  y = 2x [OMG.  Didn't parallel lines ever get the message.  Get with the slope and focus on the bliss of intersection.]

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

[Extra Credit]

y = 2x + 25

y = –2x – 25

-----------

y = 2x + 25

y = -2x - 25

2y =  0

y = 0

--

y = 2x + 25

0 = 2x + 25

2x = -25

x = -12.5

The single solution is (-12.5,0)

If system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

Two or more expressions with an Equal sign is called as Equation.

A system of two linear equations has one solution.

One of the equations is y = 2x + 25

We need to find the other equation which has one solution

y = 2x+25  

This is the same line

The solutions are infinite.

y = -2x-25

These lines will intersect.

The other equation is y = –2x – 25 because this equation is interacting with y = 2x + 25

Hence, if system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

10v + 2

Step-by-step explanation:

Answer:

10v + 2

Step-by-step explanation:

Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!

The price of the one notebook will be Rs. 10.6

If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;

1x + 4x + 4x = 95

9x = 95

x = 95/9

x = 10. 6

Hence the price of the one notebook will be Rs. 10.6

Learn more on ratio here: https://brainly.com/question/20346769

Answer:

[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]

Step-by-step explanation:

Total pencils = 30

Probability of picking a red = 1/6

Red pencils in the box = probability × total pencils

= 1/6 × 30

= 5 red pencils

So, there are 5 red pencils in the box.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a and b

Step-by-step explanation:

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Answer:

x = 21   The angles are 85°, 58°,  69°, and 148°

Step-by-step explanation:

The sum of the interior angles of a 4 sided figure formula :

Sum of the interiors = (n - 2) 180°

Sum of the interiors = (4 - 2) 180  

Sum of the interiors = (2)180° = 360°

Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°

           213 + 7x = 360

           7x = 360 - 213

             7x = 147

              x = 21     the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°

Answer:

The degrees inside the quadrilateral are 85, 148, 69, and 58.

Step-by-step explanation:

The interior of the quadrilateral equals 360 degrees.

All the degrees inside need to add up to 360. You need to find out what x is so you can do that.

First, add all the degrees you know, then solve for x.

85 + 69 = 154.

Now, add in the other angles.

154 + (6x + 22) + (x + 37)

Add like terms together.

154 + 22 + 37 = 213 degrees       6x + x = 7x.

7x + 213 needs to equal 360.

Subtract 213 from both sides to get 7x alone.

7x = 360 - 213

7x = 147

Now, you need to solve for x.  You do this by dividing both sides by 7.

7x/7 = 147/7

x = 21

To find the degrees of the two unknown angles, substitute 21 back in where x is.

6(21) + 22 = 126 + 22 = 148

and 21 + 37 = 58

85 + 148 + 69 + 58 = 360 degrees.

Step-by-step explanation:

since f(x) is overall increasing for the interval -3 < x < 0,

A and B both fit in there and are correct answers.

Answer:

C. 3.5 < x < 4.5

Step-by-step explanation:

Anything that is above 1 (4, 9, etc)  is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.

Answer:

611.111 repeating

Step-by-step explanation:

Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.

Answer:

+600%

Step-by-step explanation:

[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]

hope that helps!

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

answer is probably just 4

4/1 rise over run

Answer:

i think 10

Step-by-step explanation:

you multiply 3*5=15 and 2*5=10

Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

Answer:

i cant see the Q

Step-by-step explanation:

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

This is the number 80 thousand

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Explanation:

1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.

In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.

Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.

Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000

Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.

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Checking the answer:

original fund amount = 80000

1/2 of 80000 = 40000 is the amount the wife gets

1/4 of 80000 = 20000 is the amount the son gets

That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.

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Another method using algebra:

x = original amount of the fund

W = x/2 = 2x/4 = half of the fund = amount wife gets

S = x/4 = quarter of the fund = amount the son gets

W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4

W+S represents the sum of the wife's and son's amounts.

We'll subtract this from the original amount x to find out what's left

x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4

This shows that 1/4 of the fund is left over after distributing to the wife and son.

The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000

So,

x/8 = 10000

x = 8*10000

x = 80000

The original fund is worth Rs 80000