On a windy morning, a hot air balloon starts rising and flying away from the top of a
hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the
hill, can be modeled by the function: h(x) = -16x2 + 64x + 80.
The balloon will reach its maximum height after how many hours?

Answer:

(x +(-2) ) and ( x+3)

The factors of a given cubic polynomial function are

( x-1) (x -2 ) and (x +3)

Step-by-step explanation:

Step(i):-

Given that  x³ - 7x + 6=0

        f(x) =  x³ - 7x + 6=0

put x=1

       f(1) = 1 -7 +6 =0

(x -1 ) is one factor of given polynomial

By using synthetic division

                  x³     x²        x      constant

x=1          ║ 1      0        -7          6

              ║  0      1          1        -6

                1       1         -6         0

The polynomial   ( x² + x - 6) =0

Step(ii):-

The factors of

               x² + x - 6=0

              x² + 3x -2x - 6=0

             x ( x +3 ) - 2( x +3) =0

            (x -2 ) ( x+3 ) =0

            x = 2 and x =-3

Final answer:-

The factors of a given cubic polynomial function are

( x-1) (x -2 ) and (x +3)

Answer:

2,057.18

Step-by-step explanation:

Answer:

The numbers are 1/10 & 11/10

Answer:

yes means yes

Step-by-step explanation:

The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25

An equation is an expression that shows the relationship between two or more variables and numbers.

The equation for a circle is given as:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

The center of the lake is 19 miles east and 3 miles south, i.e. (-19, -3) and the radius is 0.5 miles.

The equation of the lake is:

(x - (-19))² + (y - (-3))² = 0.5²

(x + 19)² + (y + 3)² = 0.25

The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25

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Answer: D.  [tex](x-19)^2+(y+3)^2=0.25[/tex]

Step-by-step explanation:

Let's review what we know:

A circle can be depicted on the coordinate plane with the equation [tex](x-h)^2+(y-k)=r^2[/tex], where:

19 miles east of the origin would be 19 units to the right of the origin on the coordinate plane, as east is the rightwards direction in real life. In short, h = 19.

Let's plug in that value: [tex](x-(19))^2+(y-k)^2=r^2[/tex].

So we know that the x-coordinate defining part of the equation would have to be [tex](x-19)^2[/tex].

Meanwhile, 3 miles south of the origin would be modeled as three units underneath it, because south would be considered "downwards". The y-value (k) would be negative 3.

Putting what we have so far together, the center of the circle would be (19, -3).

Therefore, the y-coordinate defining part of the equation would be [tex](y+3)^2[/tex].

Here's what the equation looks like with the work we've completed so far: [tex](x-19)^2+(y+3)^2=r^2[/tex]

Finally, let's plug in the radius value 0.5.

0.5 * 0.5 = 0.25

Ailani would use the equation [tex](x-19)^2+(y+3)^2=0.25[/tex] to model the lake in relation to the town hall. I hope that makes sense!

Answer:

Step-by-step explanation:

a. 1 & 2

b. 3 & 5

c. 2/15

d. 2/5 x 5/3

e. 10/15= 2/3

Answer:

d

Step-by-step explanation:

The financial plan to protect assets

how much insurance you will carry

A financial plan is a document containing a person’s current money situation and long-term monetary goals, as well as strategies to achieve those goals. A financial plan begins with a thorough evaluation of the person’s current financial state and future expectations and may be created independently or with the help of a certified financial planner.

According to the financial plan to protect your assets you have to

how much insurance you will carry.

Insurance is like the back up plan for assets.

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Answer:

254 ft

Step-by-step explanation:

first find the legs of the triangle.

you already know 65, and you would get another leg by 83-50, which equals 33.

Next use pythagorean theorem to find the other leg

a^2+b^2=c^2

rearrange so you find a leg

a^2=c^2-b^2

a^2=65^2-33^2

a^2=4225-1089

a^2=3136

a=56

Now you know that the missing leg is 56. Since that leg is the same as the short side of the rectangle, you 83+50+65+56=254

Answer:

its root 58 ,h=√psquare + b square =√7square+3square=root58

Answer:

25

Step-by-step explanation:

a^2+b^2=c^2

24^2+7^2=c^2

576+49=625

then square

25=c

Answer:

The answer is -2.

Answer:

x = -5

Step-by-step explanation:

[character limit thing]

Step-by-step explanation: x= -5

how are you

Mark me brainliest

Answer:

angle COD is right answer

Answer:

B. Angle COD

Step-by-step explanation:

Answer: m=-7/9

Step-by-step explanation: You multiply them by 1 and it divided by themselves again.

Answer:

x = -10/7

Step-by-step explanation:

Start by replacing M(x) with m(1)

so you get...

1 = -7x - 9

+9        +9

10 = -7x

/-7    /-7

x = -10/7

Answer:

-1/4x + 3

Step-by-step explanation:

Answer:

y=-1/4x + 3

Step-by-step explanation:

i just got it right

Answer:

x=4

Step-by-step explanation:

4(5x+2)=14x+32

20x+8 = 14x+32

20x-14x+8=14x-14x +32 (Both side +14x)

6x+8=32 (cancel 14x -14x)

6x+8-8=32 -8(both side -8)

6x=24 (both side divide 6)

6x/6=24/6

x=4

Answer:

34x+34

Step-by-step

20x+2=14x+32

20x+14x=2+32

34x+2+32

2+32=34

34x=34

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Answer:

4.666667

or round it to 4.67

Answer:

Yes but what is the question?

Step-by-step explanation:

Answer:

Your answer would be 4 hrs and 24 minutes for how long the van traveled

Step-by-step explanation:

Given :

A crafter is making a triangular flag.

She has two sides of length 24 inches and 36 inches.

To Find :

The length possibilities (in whole inches) for the third side.

Solution :

We know, the sum of two sides of any triangle is always greater than the length of the third side.

Let, third side is d.

So, d is always less than the sum of other sides i.e. ( 24 + 36 ) = 60 .

d < 60

Also, difference between the difference of length is always less than the side.

So, d > 36 - 24

d > 12

Therefore, the length possibilities for the third side is between 13 inches and 59 inches.

Answer:

Step-by-step explanation:

two hundredths four thousandths +three thousandths = two hundredths seven thousandths

Answer:

B.312÷75=?R?

hope it helps

Answer:

The last one: 12x + 3

Step-by-step explanation:

6 + 4(3x - 2) + 5

6 + 12x - 8 + 5

12x + 6 - 8 + 5

12x + (-2) + 5

12x + 3

Answer

Help with what?

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

?

Answer:

D) y = 4x + 2

Step-by-step explanation:

Explanation:-

Given ( 0, 2) ( -1 , -2 )

Given in equalities     y = 4x + 2

    put point  (0,2)  in equation y = 4x +2

                                                 2 = 4(0) +2

                                                2 = 2

Therefore satisfies the point (0,2) equation   y = 4x +2

 put point  (-1,-2)  in equation y = 4x +2

                                               -2 = 4(-1)+2

                                              -2  = -2

Therefore satisfies the point (-1,-2) equation   y = 4x +2

Answer:

C

Step-by-step explanation:

Answer:

$85

Step-by-step explanation:

First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10  which equals 85. Brainliest?

Answer:

70

Step-by-step explanation:

Answer:

Since slopes of both lines are not negative reciprocals. Therefore Lines are not perpendicular to each other

Step-by-step explanation:

Slope of -7x-2y=-8 is -7/2

Slope of 2x+7y=-3 is -2/7

For perpendicular lines slopes are negative reciprocals of each other