if ⅚ of a certain number is -6⅔. what is the number?​

Answer:

28 Weeks

Step-by-step explanation:

8÷2=4

4×7=28

28 Weeks

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

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Answer:-2(9+32n)

Step-by-step explanation:

Answer:

15= -3m-9

15+9 = -3m

24 = -3m

-8= m

Therefore the m value is -8

Answer:

The polynomial is:

[tex]p(x) = x^3 + 2x^2 - 3x + 20[/tex]

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros [tex]x_1, x_2, x_3[/tex] the following way:

[tex]p(x) = a(x - x_1)(x - x_2)(x - x_3)[/tex]

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

So

[tex]p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))[/tex]

[tex]p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)[/tex]

[tex]p(x) = ((x-1)^2 - (2i)^2)(x + 4)[/tex]

[tex]p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]p(x) = (x^2 - 2x + 1 + 4)(x + 4)[/tex]

[tex]p(x) = (x^2 - 2x + 5)(x + 4)[/tex]

[tex]p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20[/tex]

[tex]p(x) = x^3 + 2x^2 - 3x + 20[/tex]

Answer:

(1, -2)

Easy Question for me

Answer:

83, 94, 105

Step-by-step explanation:

it's going up by 11

Answer:

83

Step-by-step explanation:

Its adding 11 each time

Answer: -8x^6

Step-by-step explanation:

-32x^8/4x^2=

-32x^6/4=

so the answer is -8x^6

Answer:

never

Step-by-step explanation:

Answer:

Chart nº 2

Step-by-step explanation:

Just match each points you will see which one is actually on the diagram!

Answer:

32 degrees

Step-by-step explanation:

The total angle formed is 90 degrees because there is a right angle.

So, 90 - 58 = g

      32 degrees = g

Answer:1

6

−

9

Step-by-step explanation:there you go

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

A PARALLEL line has the same angular coeficient, so:

[tex]f(x) = 2x+b[/tex]

[tex]f(4) = 5[/tex]

[tex]5 = 2\cdot 4 +b[/tex]

[tex]b = 5-8[/tex]

[tex]b = -3[/tex]

The line asked is:

[tex]f(x) = 2x-3[/tex]

Answer:

-2x+y=-3

Step-by-step explanation:

Choose a point (4,5) that the parallel line will pass through.

Find the slope m=2

To find an equation that is parallel to   y=2x-4 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

y-y1=m(x-x1) if m=2 and x1=4 and y1=5

y-5=2(x-4)

y-5=2x-8

Solve for  y --- > y=2x-3

-2x+y=-3

(-2x+y=-3)*-1

2x-y=3

Answer: -30

Step-by-step explanation:

Answer:

yes it would go down a little bit but not much, so it nothing to worry about to much

Step-by-step explanation:

Answer:

a) equilateral

b) Isosceles

c) scalene

d) right angle

e) acute angle

f) obtuse angle

It is correct answer

[tex]\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2[/tex]

Answer:

B C

Step-by-step explanation:

because imagine that you have a huge doll house and you're wondering if you can get it in your room but you aren't sure what will happen if you try and push it through your door

Answer:

31

Step-by-step explanation:

31

Answer:

2:1

Step-by-step explanation:

average age of both = 40

average age of teachers = 35

average age of professors = 50

35 + 35 + 50 = 120

120 / 3 = 40

Step-by-step explanation:

102*100=10200

10200÷126=80.95

So the third one is correct

Answer:

522

Step-by-step explanation:

8x34=272+tips=522