What is the domain of the function?

Answer:

y^2 = 8x

or

x = 1/8 y^2.

Step-by-step explanation:

The general form for this type of parabola is

y^2 = 4ax where the focus is at (a, 0) and the directrix  is x = -a

So the equation is y^2 = 4*2x

that is y^2 = 8x.

Answer:

A 1.5

B -1/3

C -4/3

Step-by-step explanation:

I solved this by remembering...

numbers above 0 are positive

-1/3 is greater than -1

-4/3 means -1 AND 1/3 so this is less than -1

A = 1.5 (+ve value, upwards)

B = -1/3 (-ve value, downwards)

C = -4/3 (-ve value, downwards)

A = 1.5 (lies in between +1 & +2)

B = -1/3 (-0.33 lies in between 0 & -1)

C = -4/3 (-1.33 lies in between -1 & -2)

See the attached picture for more details.

______

Hope it helps ⚜

ok done. Thank to me :>

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+8x

f(-1)=2(-1)^2+8(-1)

f(-1)=2(-1)(-1)-8

f(-1)=2(1)-8

f(-1)=2-8

f(-1)=-6

Answer:

$1440

Step-by-step explanation:

$72/hour

For 20 hours, she receives

20 hours × $72/hour = $1440

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Prime numbers are numbers that are divisible by 1 and itself.

This are number greater than one with only two factors which are 1 and itself.

In other words, this number, when they are divided by another number other

than 1 or itself , one will get a remainder that is not zero.

Example of prime numbers are 2, 5, 7, 11, 13 etc.

The prime numbers after  167, 118, 82, 57, 41 are as follows:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

learn more about prime number here: https://brainly.com/question/26013414

Answer:

what is the value of the 6 in 26,249?

answer:321305

Step-by-step explanation:

Answer:

y= -5x + 25

Step-by-step explanation:

y = mx + b

m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative

b(y-int) = starting height of 25 ft added

Answer:20.75 after sale

Step-by-step explanation:

25/100 of 83 is 2075

2075/100 = 20.75

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

Answer: 4

Step-by-step explanation: +9-(-3)=12

81-78=3

so 12/3=4

Answer:

  45°

Step-by-step explanation:

  θ = arctan(1) = 45°

__

Make sure your calculator is in degrees mode.

_____

Additional comment

The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.

Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.

The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]

We are give a cone with dimensions as seen in the diagram in the attached image.

The volume changes at the rate

[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]

the negative sign is used because the volume of water is reducing.

what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate

[tex]\frac{dh}{dt}|_{h=3cm}[/tex]

The relationship between the volume and the height is given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this

[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]

substitute into the volume formula to eliminate [tex]r[/tex]

[tex]V=\frac{\pi h^3}{27}[/tex]

differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly

[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]

to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]

[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]

So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]

Learn more about related rate of change here: https://brainly.com/question/15576763

Answer:

6.4 is the correct answer

Answer: 994

Step-by-step explanation:

50 * 20 = 1000 - 10 = 990 + 4 = 994

Answer:10.9

Step-by-step explanation:

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

Answer:

5+7=12-35=-23

Step-by-step explanation:

Answer:

I dont quite understand the question could you clarify? What are you trying to ask? how many shirts to break even? Im not quite understanding I'd be more than happy to help if you re worded the question!

Step-by-step explanation:

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

Where, the constant term, c = 0

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

(c) The given function for R is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function R is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

[tex]\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}[/tex]

Therefore, for the revenue function, the x-value of the vertex, is; [tex]\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}[/tex]

The revenue at the vertex is; [tex]R_{max}[/tex] = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

Learn more about the quadratic function here:

https://brainly.com/question/2814100

128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.

1: 1.645

2. 1.28

4: 95% confidence level (12.93, 13.87)

3: No Idea

5: sorry im a bit rusty

Im so sorry for not answering all you questions

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

Step-by-step explanation:

Given line:

Compare this with the slope-intercept form:

The slope is:

Y-intercept is:

As a point on the line it has coordinates (0, - 11)

Answer:

Hope this helps!

Step-by-step explanation:

The slope is:

m = 2/5

Y-intercept is:

b = - 11

The coordinates on the line are: (0, - 11)

Answer:

416

Step-by-step explanation:

you take 520 times .80