what is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)

Answer:

x=1/4c+1/4k

Step-by-step explanation:

4x-c=k

move c over

4x=c+k

then divide by 4

x=1/4c+1/4k

hope this helps

Answer:

n = 2

Step-by-step explanation:

Here, we want to write the simplified form of the equation given in the question.

Firstly, we write the equation in an equation form:

4/5n -1/5 = 2/5n

5n(4/5n -1/5) = 2/5n(5n)

(4/5n * 5n) -(1/5)(5n) = 2

4- n = 2

n =4-2

n = 2

Answer:

The answer that I got was n=2

Step-by-step explanation:

Answer:

  6748'

Step-by-step explanation:

The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.

  a^2 = b^2 +c^2 -2bc·cos(A)

  a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)

  a^2 = 45,535,553.83

  a ≈ 6748.004

The longer diagonal is about 6758 feet long.

Answer:

Option B

Step-by-step explanation:

Hope it is right

The value of equation describes the line graphed is,

⇒ y = -1/5x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -4) and (5, -5).

Now,

Since, The equation of line passes through the points (0, -4) and (5, -5).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 5 - (-4)) / (5 - 0)

m = - 1 / 5

Thus, The equation of line with slope - 1/5 is,

⇒ y - (-4) = -1/5 (x - 0)

⇒ y + 4 = -1/5x

⇒ y = -1/5x - 4

Therefore, The equation of line passes through the points (0, -4) and

(5, -5). will be;

⇒ y = -1/5x - 4

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Answer:

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Step-by-step explanation:

As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.

Given:

Height of cylinder, [tex]h_1[/tex] = 15 cm

Diameter of cylinder/ cone, D = 26 cm

Slant height of cone, l = 20 cm

Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]

Here,

[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]

To find the Height of Cylinder, we can use the following formula:

[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]

Now, putting the values to find the volume of container:

[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]

Converting [tex]cm^{3 }[/tex] to litres:

[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Answer:

20

Step-by-step explanation:

30(0)

= 0

50 + 0 - 30

= 50 - 30

= 20

Answer:

20

Step-by-step explanation:

We know that 30 × 0 = 0. Next, we can take 50 and add 0 which is still 50. Now, we take 50 - 30 which equals to 20.

Answer:

1)3/4 (other) 2)2/3   3)2/3   4)1/3(other) 5)1/4

Step-by-step explanation:

the reason all the ones that say other are other is because they dont fit into the 3/4 section or 1/4. we can figure out the answers by counting up the total amount of squares/triangles and then the shaded ones, and then putting them over each other, shaded amount on top, and then simplifying. or, if you can tell by seeing that there are only 3 boxes and one shaded for example, you can simply tell its 1/3 because its already laid out for you. hope this helped

Answer:

A) it increases the mean value of the prizes.

Step-by-step explanation:

The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.

I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.

Hope this helps!

The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.

Option A is the correct answer.

It is the middles value of the given set of numbers after arranging the given set of numbers in an order.

We have,

The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.

Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.

The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.

Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.

Therefore,

It increases the mean value of the prizes.

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Answer:

18 types of apartments

Step-by-step explanation:

There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).

The number of possible different apartments is:

[tex]n=3*2*3\\n=18\ types[/tex]

18 types of apartments are possible.

Answer: A

Step-by-step explanation:

The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.

Slope can rate of increase when it is positive. And rate of decrease when it is negative.

Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;

The height of the water increases 2 inches per minute. Which is option A

Answer:

  [tex]\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}[/tex]

Step-by-step explanation:

The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:

  F(x) = 1/(x -3)²

Answer:

A)  False

B)  True

Step-by-step explanation:

For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false

For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.

I hope this helped you find out the rest :)

Answer:

[tex]\boxed{Domain = \{3,6,9\}}[/tex]

[tex]\boxed{Range = \{9,18\}}[/tex]

Step-by-step explanation:

The relation is:

=> {(3,9)(3,18)(6,18)(9,18)}

Domain => x inputs of the ordered pair

Domain = {3,6,9}

Range => y inputs of the ordered pair

Range = {9,18}

Answer:

Hey there!

Circumference: [tex]2\pi r+95+95[/tex]

Area: [tex]\pi r^2+70(95)[/tex]

r=35

Circumference: 410

Area: 10498.

Hope this helps :)

Answer:

Area=  10498.5 cm²

Step-by-step explanation:

Area of rectangle= l x w

= 95 x 70 = 6650

Area of circle = πr²

= π x 35²

= 1225π

=3838.5 cm²

Area of shape: 6650 + 3848.5 = 10498.5 cm²

Answer:

It would be the graph that has point (0,12) and is decreasing to the right.

Answer:

A

Step-by-step explanation:

Answer:

a)2/5

Step-by-step explanation:

5:2 is correct

5/2 is nothing but 5:2

10:4 is also correct because when we simplify it we get5:2

Answer:

Step-by-step explanation:

You can make a table of values by plugging in values to x^2+4.

If x=1 the answer is 5

If x=2 the answer is 8

If x=3 the answer is 13

If x=4 the answer is 20

If x=5 the answer is 25.

And we have a table of values!

Answer:

d

Step-by-step explanation:

Answer: E definition of midpoint

Step-by-step explanation:

Correct on Plato

Answer:

It will be compressed vertically

Step-by-step explanation:

y = Cf(x) 0 < C < 1 compresses it in the y-direction

Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction

Answer:

When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:

- If  the function is stretched.

- - If  the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

Step-by-step explanation:

The given function is f (x) = x²

The new function is f 1 (x) = 1/4 x².

The general function of the form is f(x) = a · x²

i) If |a| < 1   the graph is compressed vertically by a factor of a.

ii)  If |a| > 1  the graph is stretched vertically by a factor of a.

Here:  a = 1/4 < 1

Answer:

The car will travel approximately 13200  inches

Step-by-step explanation:

Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]

Then, in 200 revolutions the car will travel 200 times that amount:

[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]

So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:

[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]

Answer:

1,3,5,15,37,111,185,555

Step-by-step explanation:

8 total

Answer:Answer: Did you get helped on this one?

Step-by-step explanation:okay yup yup have a good ONE

Answer:

Step-by-step explanation:

($26.5 - $3 - $5.50) : $0.6/m =

= $18 : 0.6$/m

= 30 miles

Answer:

41, 43, and 47

Step-by-step explanation:

The numbers between 40 and 50 are:

41, 42, 43, 44, 45, 46, 47, 48, and 49

Prime numbers are numbers that have only 2 factors, 1 and themselves.

So from the numbers above we are now able to find the prime numbers.

1 * 41 = 41

1 * 43 = 43

1* 47 = 47

41, 43, and 47 have only 2 factors, 1 and themselves.

Hope this helps!!

Answer:

1.25

Step-by-step explanation:

8x² -38x + 35 = 0

8x² - 10x - 28x + 35 = 0

2x(4x - 5)-7(4x - 5) = 0

(4x−5)(2x−7) = 0

4x - 5 = 0 or 2x - 7 = 0

x = 5/4 or x = 7/2

x = 1.25 or 3.5

Smallest value being = 1.25

Answer:

c y= 1/2x-8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope is either 1/2 or 8. Because the line is not incredibly steep, it must be 1/2.

The y-intercept is where the line crosses the y axis. In this case, it's 8.

Therefore the equation must be y=1/2x+8.

The answer is B.

Answer:

4/13 is the probability does a blue Jelly Bean is selected

Step-by-step explanation:

sample space = sum of all the jelly beans in the bag

sample space =5+6+7+8

sample space =26

probability = Jelly Bean selected / sample space

probability =8/26

probability =4/13

Answer:

2x - 3x -6y - 5y +35x

Step-by-step explanation:

-3 multiplied by x is -3x

-3 multiplied by +2y is -6y

-5 multiplied by y is -5y

-5 multiplied by -7x is +35x

2x remains the same.

Answer:

c. 2x – 3x – 6y – 5y + 35x

Step-by-step explanation:

edge 2021

(:

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------------

1 / 2 / 3 = 0.16666666666.  

0.16666666666 in fraction form:  1/6.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Firstly we need to divide 1 into halves (halves is "2", 1 / 2 = 0.5.)

Now that we have 0.5, we need to divide 0.5 by 3.

0.5 / 3 = 0.16666666666

Answer:

1/6

Step-by-step explanation:

Hey there!

Well let's start with,

1 ÷ 2 = .5

.5 ÷ 3 = .1666666 repeating

As a fraction it would be 1/6

Hope this helps :)

Answer:

Step-by-step explanation:

The expression used to model the volume, in gallons, is 12x^2-13x+3

When the through is empty it means that there is no water in it wich means that the expression used equals 0

● 12x^2-13x+3 = 0

The expression is quadratic equation so to solve it we will use the discriminant method

The discriminant is b^2-4ac

● b= -13

● a= 12

● c= 3

b^2-4ac = (-13)^2+4×12×3 = 25

25 > 0 so the discriminant is positive

We have two solutions

Let x and x' be the solutions

x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3

5 is the root square of 25 (the discriminant)

x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4

The solutions are 1/3 and 3/4

1/3 = 0.34

3÷4 = 0.75

The through can't be empty from water in two different times

So it will be empty when reaching one of the 2 solutions first

0.34 < 0.75

Then at 0.34 min the through is epty from water

Answer:

[tex]0 = 12x^2 - 13x + 3[/tex]

Step-by-step explanation:

The volume of the trough is modeled by the equation:

[tex]V = 12x^2 - 13x + 3[/tex]

The trough will be empty when the volume of water in it is 0. That is, the expression that would reveal when the trough is empty is:

[tex]0 = 12x^2 - 13x + 3[/tex]

We can further simplify it:

[tex]12x^2 - 9x - 4x + 3 = 0\\\\3x(4x - 3) - 1(4x - 3) = 0\\\\(3x - 1)(4x - 3) = 0[/tex]