what is the vertex of h(x)=-2x^2+8x

For this case we have that by definition, the area of a rectangle is given by:

[tex]A = w * l[/tex]

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

[tex]A = 81-x ^ 2\\w = 9-x[/tex]

So, the length is given by:

[tex]l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}[/tex]

We factor the numerator:

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

We simplify:

[tex]l = 9 + x[/tex]

So, the length is [tex]9 + x[/tex]

Answer:

[tex]9 + x[/tex]

By substituting the expression for f(x) into g(x), g(f(x)) simplifies to -x^2 + 4. The coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

To find g(f(x)), substitute the expression for f(x) into g(x):

g(f(x)) = g(-x^2 - 1)

Now, replace x in g(x) with -x^2 - 1:

g(f(x)) = (-x^2 - 1) + 5

Combine like terms:

g(f(x)) = -x^2 + 4

So, the given expression g(f(x)) = -x^2 + 4. The coefficient of x^2 remains -1 from f(x), and the constant term changes from -1 to +4 after adding 5 in the expression g(x).

Here g(f(x)) simplifies to -x^2 + 4, where the coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

Answer:

v To the power of 18

Step-by-step explanation:

N A

Answer:

v to the power of 18

Step-by-step explanation:

Answer:

b = 34m

Step-by-step explanation:

Answer:

Depends on which base you mean, the longer base would be b=41.67

The shorter base would be a=39.67

Hope this helps :)

Answer: the answer is x-h and y-K

Step-by-step explanation:

This represents the side lengths of the right triangle that is formed

Answer:

Option C : the midpoint of the segment

Step-by-step explanation:

1.Draw a Circle of any radius.

2.Take a point outside on the circle.

3.Draw a line segment Joining center to the point lying outside.

4.Draw the perpendicular bisector of that line segment.

5.Keep one end of the compass on the midpoint of the line segment, and other end of the compass on the center or other end of line segment,and draw a circle.

6.The points where this circle,cuts the circle drawn in the beginning,are the points,from where you can draw tangents which will intersect at the point which lies outside that we have taken in the beginning.

Option C : the midpoint of the segment

Answer:

third one

Step-by-step explanation:

D. Not enough info

Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.

For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.

Answer:

D) Not enough information is given

Step-by-step explanation:

For it to be a parallelogram, MN and PQ should be equal in length.

Angles P and M should be equal

Angles N and Q should be equal.

But no such information is provided

Answer:

-1.13 m/s

Step-by-step explanation:

Parameters given:

Mass of first footballer, M = 92 kg

Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)

Mass of second footballer, m = 85 kg

Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)

Final velocity of first footballer, V = 2.0 m/s

We need to find the final velocity of the second football (v)

Applying the principle of conservation of momentum, we have that, in a system:

Total Initial Momentum = Total Final Momentum

(M * U) + (m * u) = (M * V) + (m * v)

(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)

598 - 510 = 184 + 85v

88 = 184 + 85v

88 - 184 = 85v

-96 = 85v

=> v = -96 / 85

v = -1.13 m/s

The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South

Final answer:

To find the unknown velocity of the 85.0 kg football player after the collision, we use the conservation of momentum, setting up an equation based on the initial and final momenta of both players and solving for the unknown velocity.

Explanation:

The question concerns the topic of conservation of momentum during a collision between two football players, which falls under the category of Physics. To solve for the velocity of the 85.0 kg football player after the collision, we can use the principle that the total momentum before the collision is equal to the total momentum after the collision in an isolated system.

The total momentum before the collision can be calculated as follows:

Momentum of the 92.0 kg player = mass × velocity = 92.0 kg × 6.50 m/s (North).

Momentum of the 85.0 kg player = mass × velocity = 85.0 kg × 6.00 m/s (South).

Since they are moving in opposite directions, we assign a positive direction (e.g., north) as positive momentum and the opposite direction (south) as negative momentum.

The total momentum after the collision consists of:

Momentum of the 92.0 kg player = 92.0 kg × 2.00 m/s (North).

Momentum of the 85.0 kg player = 85.0 kg × v (where v is the unknown velocity).

By applying the conservation of momentum, we can write the equation:

(92.0 kg × 6.50 m/s) + (85.0 kg × -6.00 m/s) = (92.0 kg × 2.00 m/s) + (85.0 kg × v).

Solving for v gives:

v = [(92.0 kg × 6.50 m/s) - (92.0 kg × 2.00 m/s) - (85.0 kg × -6.00 m/s)] / 85.0 kg.

Calculate the value to find the final velocity of the 85.0 kg player.

v = 10.87 m/s

Answer: The answer would be .03 or A.

Step-by-step explanation: You add all of the marbles up to get a total of 10 then you divide 10 by 3 and you get 3.333333333 but then you just take off the 3 before the decimal. DONT USE THIS ON ANY OTHER EQUATIONS!!! This only happens to work with this equation!!!

Answer:

  4.73%

Step-by-step explanation:

  y = 3×2^(t/15) = 3×(2^(1/15))^t = 3×1.0472941^t

In this form, ...

  1 +r = 1.0472941

  r = .0472941 ≈ 4.73%

The daily increase is about 4.73%.

Answer:

8 were absent

Step-by-step explanation:

20% of 40 is 8

Answer:

32 students were present

Step-by-step explanation:

total students =40

absent percent=20%

present percent= 100-20

=80%

total present student =80%of 40=32

Answer:

25 & 2

Step-by-step explanation:

Answer:

The answer is (-5,4).

Answer:

6 if pedro and his two brother will have coins. If he doesnt get any for himself and gives it all to his brothers then they each get 9.

Step-by-step explanation:

I used my calculator.

Answer:

  15

Step-by-step explanation:

Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.

The two hoses together contribute a volume of 1/9 of the pool volume each hour:

  1/x +1/(1.5x) = 1/9

  2.5/(1.5x) = 1/9 . . . . combine the fractions

  22.5/1.5 = x . . . . . . multiply by 9x

  15 = x

It takes the larger hose 15 hours to fill the pool alone.

Answer:

5 km/h

Step-by-step explanation:

In this problem, Lashonda swam 4 km against the current. So the distance covered in this case is

[tex]d_1=4 km[/tex]

Calling [tex]v[/tex] the velocity of Lahonda without the current, and [tex]c[/tex] the velocity of the current, in this situation Lahonda's velocity is

[tex]v-c[/tex]

So we can write:

[tex]t_1=\frac{d_1}{v-c}[/tex]

where [tex]t_1[/tex] is the time taken to cover the distance.

When Lashonda swims with the current, her velocity is

[tex]v+c[/tex]

So we can write

[tex]t_2=\frac{d_2}{v+c}[/tex]

where

[tex]d_2=16 km[/tex] is the distance covered in this case, and [tex]t_2[/tex] the time taken.

The velocity of the current is

[tex]c=3 km/h[/tex]

Since Lashonad takes the same time to cover the two distances,

[tex]t_1=t_2[/tex]

So we can write

[tex]\frac{d_1}{v-c}=\frac{d_2}{v+c}[/tex]

And solving for v, we find Lashonda's velocity without the current:

[tex]d_1(v+c)=d_2(v-c)\\d_1 v+d_1c = d_2v-d_2c\\v(d_2-d_1)=c(d_1+d_2)\\v=\frac{d_2+d_2}{d_2-d_1}c=\frac{16+4}{16-4}(3)=5 km/h[/tex]

Final answer:

To find Lashonda's swimming speed without the current given the rate of the current and the distances swam with and against it.

Explanation:

The rate of the current is 3 kilometers per hour. To find the speed of Lashonda without the current, we can set up equations using the formula: speed = distance/time.

Let's denote Lashonda's speed in still water as x kilometers per hour. When swimming against the current, her effective speed is x - 3 km/h, and when swimming with the current, her effective speed is x + 3 km/h.

By setting up and solving the equations, we find Lashonda's speed without the current is 9 kilometers per hour.

Answer:

B

Step-by-step explanation:

i hate edgunity too

Answer: b

Step-by-step explanation:

Answer:

when x is 2. f(2)=3(2)+1. f(2)=6+1. f(2)=7.

Step-by-step explanation:

Answer:

The distance from the feet to the wall is 9 ft

Step-by-step explanation:

Using trig,

We must use cosine to find the missing side.

The equation is cos 60 = [tex]\frac{adjacent}{18}[/tex]

The cosine of 60 is 1/2

So, we multiply 1/2 by 18

to get 9

Hope this helps!

Branliest would really be nice!

Answer:

B. A quadrilateral with 2 pairs of equal length

Step-by-step explanation:

analyzing the options:

Answer:

B.a quadrilateral with 2 pairs of equal length

Step-by-step explanation:

A rhombus is a quadrilateral with 4 equal sides in length. A quadrilateral is a closed figure or shape with 4 sides . Other quadrilaterals are parallelograms, square and rectangle .

Opposite sides of a rhombus are parallel and opposite angles are equal. The diagonals meet at the center to form a right angle. The best description of a rhombus among the option is that it is a quadrilateral with 2 pairs of equal length.  

Note polygon is too broad to be used to describe a rhombus .Moreover rhombus is not a regular polygon since all the angles are not equal.  

Answer:

The recipe required 50 grams of cheese

Step-by-step explanation:

Here in the question, we are made to know that she increased all ingredients by 60%.

Now we want to know the original mass of the cheese if she used 80grams after the 60% increment.

Mathematically, the formula for percentage increase is;

% increase = increment/old value * 100%

Where increment is new value - old value

since we do not know the old value, we can say that it is x. This means that the increment is 80-x

Hence;

60= (80-x)/x * 100

60x = 100(80-x)

60x = 8000-100x

100x + 60x = 8000

160x = 8000

x = 8000/160

x = 50g

Answer:

What is your exact question?

Step-by-step explanation:

Explanation:

The notation [tex]A \cap B[/tex] means "the overlapped region between circles A and B". There is only one value in this region, and it is the "8". This is in the lower half of this region as the upper half is empty.

There are 12 values in the set {2,4,6,8,10,12,14,16,18,20,24} which we can see by counting them out, or we can note how 24 = 2*12 and how we started with 2 = 2*1. So basically we have...

So again we have 1 value in the overlapped region between A and B, out of 12 values total. So that's why the answer is 1/12.

Answer:

1.8

Step-by-step explanation:

9/10 times 2 equals 1.8

/Answer:

The answer would be 18/10.

Step-by-step explanation:

This is because when you add fractions with common denominators, like 9/10+9/10, you don't add the denominators. But if you multiply 9/10*2 it would be like 9/10*2/1 which would equal 18/10 still.

Answer:

190.8 square inches

Step-by-step explanation:

The area of one of its triangular sides is given by A = bh/2 were b = base = 9 inches and h = perpendicular height = 6.1 inches.

A = bh/2. Since we have 4 triangular sides, the total area of its sides  A₁ = 4A = 4bh/2 = 2bh = 2 × 9 × 6.1 = 109.8 square inches.

The area of is base is the area of a square = 9² = 81 square inches.

So te total surface area is 109.8 square inches + 81 square inches = 190.8 square inches

Answer:

190.8

Step-by-step explanation:

Answer:

The average total cost per hour of training is $70.5

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

∵ The gym charges a $615 yearly fee for membership plus

   $50 for each hour of personal training

- That means the initial amount is 615 and the average rate is 50

∴ m = 50 dollars per hour

∴ b = 615 ⇒ fixed fee

- Substitute m and b in the form of the linear function

∴ c(x) = 50 x + 615, where c(x) is the cost per year for x

   training hours

∵ A member works with a personal trainer for 30 hours in a year

- That means x = 30

∴ x = 30

- Find the total cost of this year by substituting x by 30

∴ c(30) = 50(30) + 615

∴ c(30) = 1500 + 615

∴ c(30) = 2115

∴ The total cost of this year is $2115

To find the average cost per hour divide the total cost by the number of the training hours

∵ Average cost per hour = 2115 ÷ 30

∴ The average cost per hour = 70.5 dollars

∴ The average total cost per hour of training is $70.5

Based on the number of hours and the cost per hour of using the trainer, the average cost per hour is $70.50 per hour.

First find the total cost of using a trainer for 30 hours.

= Fixed membership cost + (Cost per hour x Number of hours)

= 615 + (50 x 30)

= $2,115

The total cost for the year is $2,115.

The average cost per hour will be:

= Total cost / Number of hours

= 2,115 / 30

= $70.50

In conclusion, the total average cost per hour is $70.50.

Find out more at https://brainly.com/question/24157928.

Answer:

  (0, 9)

Step-by-step explanation:

The circle defined by the equation ...

  (x -h)^2 +(y -k)^2 = r^2

has its center at (h, k).

We think your circle's equation is ...

  x^2 + ( y − 9 )^2 = 81

so it would have its center where h = 0 and k = 9.

The center is (0, 9).

_____

Comment on the question

Sometimes, copying and pasting seems to cause things to be repeated 3 times, usually in different formats. It would be nice to have one clean copy of the equation, so we can easily tell what it is supposed to be. Editing may be required, to make sure all necessary math symbols are included.

Answer:

the whitebord is cool

Step-by-step explanation:

fun cool! 1234567890

Answer:

The answer to your question is the letter C.

Step-by-step explanation:

Data

sin Ф = 1/5

cos Ф = ?

To solve this problem use trigonometric functions.

1.- The first condition is that the angle must be in the first quadrangle

(0° < Ф < 90°).

2.- Write the trigonometric function sine.

           sin Ф = Opposite side / hypotenuse   and sin Ф = 1/5

then, Opposite side = 1     hypotenuse = 5

3.- Use the Pythagorean theorem to find the adjacent side.

           Hypotenuse² = Opposite side² + Adjacent side²

-Solve for Adjacent side

            Adjacent side² = Hypotenuse² - Opposite sie²

-Substitution

            Adjacent side² = 5² - 1²

-Simplification

            Adjacent side² = 25 - 1

            Adjacent side ² = 24

            Adjacent side = √24

4.- Find the cosФ

             cos Ф = Adjacent side/hypotenuse

-Substitution

             cosФ = √24 / 5

Answer:

314.15926 square feet

Step-by-step explanation:

Formula for sphere surface area =  4*π r^2

radius = (1/2)*diameter = (1/2)* 10 feet = 5 feet

Area =  4* π*(5)^2 = 100π = 314.15926 square feet

Final answer:

The surface area of a sphere with a diameter of 10 ft is 100π square feet, or approximately 314.16 square feet.

Explanation:

The surface area of a sphere can be calculated using the formula 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 10 ft, the radius is half of that, which is 5 ft. Plugging the radius into the formula, we get the surface area as 4π(5 ft)² = 4π x 25 ft² = 100π ft². Therefore, the surface area of the sphere with a diameter of 10 ft is 100π square feet, which is approximately 314.16 square feet when π is approximated to 3.1416.