find the range 7,6,5,9,5,8,2 please include work!!

Answer:

Step-by-step explanation:

The first one is Crosses the axis at (1, 0). The second one is Crosses the axis at (−4, 0). The third one is touching the axis at (−5, 0).

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

Step-by-step explanation:

Let us revise the translation

1. If the function f(x) translated horizontally to the right by h units, then

   its image is g(x) = f(x - h)

2. If the function f(x) translated horizontally to the left by h units, then

   its image is g(x) = f(x + h)

3. If the function f(x) translated vertically up by k units, then its image

   is g(x) = f(x) + k

4. If the function f(x) translated vertically down by k units, then its image

   is g(x) = f(x) - k

∵ f(x) = x²

∵ g(x) = (x - 5)² - 9

∴ g(x) = f(x - 5)² - 9

∴ h = 5 ⇒ 5 units right

∴ k = -9 ⇒ 9 units down

∴ f(x) translated 5 units to the right

∴ f(x) translated 9 units down

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

The graph of g(x) = -1/5(x + 5)² - 2 is plotted making use of the points it passes.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given function is g(x) = -1/5(x + 5)² - 2.

In order to plot its graph, consider following values of x and y as follows,

For x = 0,

g(x) = -1/5(0 + 5)² - 2

      = -7

For x = -5,

g(x) = -1/5(-5 + 5)² - 2

      = -2

Now as the given function has its degree as 2, it is parabolic.

Thus, its graph can be drawn as follows,

Hence, the graph of the given function is drawn clearly.

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18. 23 units

19. x = 1

Answer:

their are 2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The maximum value is the y- coordinate of the vertex

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

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

y = - x² + 6x + 5 ← is in standard form

with a = - 1 and b = 6 , then x- coordinate of vertex is

x = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into the function for y- coordinate of vertex

y = - 3² + 6(3) + 5 = - 9 + 18 + 5 = 14

maximum value is 14 → D

Isolate the variable x and bring it on one side

then solve the equation

Hope this helps

Answer:

The dog has 1357.5 square feet of running space.

Step-by-step explanation:

48 feet is the diameter of the circle in which the dog can run, minus 1/4 of the total circle (assuming the dog can not run through walls).

The formula of how to find the area of a circle is...

A =  π r²

A stands for area, pi(π) is 3.14, and r means radius.

Radius is half of the diameter, so the radius would be 24 feet. Let's plug those numbers into the formula:

A = π x 24²

A = π x 576

A = 1809.56 square feet

Now, we have to subtract 1/4 of 1810 (rounded up).

1810 times 0.75 = 1357.5 feet.

I hope this helps you! :-)

Answer:

84

Step-by-step explanation:

LengthxWidthxHeight.

6x2x7=84

Answer:

{x}^{2}+5x+6

x  

2

+5x+6

Step-by-step explanation:

Answer:

Option A

The volume of prism is, [tex]180^{3}[/tex]

Step-by-step explanation:

From the given figure, we have

The length of the triangular prism is 6 units.

Since in the triangular cross-section we have the base (b) equals 5 units and the height (h) equals 12 units.

Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross-section has base b units and height h units, then,

Volume(V) of the triangular prism in the cubic unit is given by;

[tex]V=\frac{1}{2}bhl[/tex]

Putting the values of [tex]l=6[/tex] unit, b=5 unit and h = 12 unit.

⇒  V = 1/2 × 5 × 6 × 12

on solving we get;

[tex]V=180^{3}[/tex]

therefore, the volume of the prism is [tex]180^{3}[/tex].

(brainliest would really help, thanks >:3)

Answer:

1/9

Step-by-step explanation:

2x3=6

6x9=54

54 divided by 6 = 9

Therefore 6 is 1/9 of 54

Hope this helps.

The point which is located at (2,0) is A, the correct option is 1.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The coordinates = (2,0)

Now,

The coordinates of point A = (2,0)

The coordinates of point B = (0,2)

The coordinates of point C = (-2,0)

The coordinates of point D = (0,-2)

Therefore, by the graph the answer will be Point A.

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Answer:

In standard form,

5004300. Five Millon four thousand and three hundred.

The standard form of 5004300 is [tex]50.043[/tex] × [tex]10^{5}[/tex].

The standard form of a number is a way of writing the numbers in a form that follows a certain rule.

According to the given question.

We have a number 5004300.

The standard form of 5004300 is given by

[tex]50.043[/tex] × [tex]10^{5}[/tex]

Hence, the standard form of 5004300 is [tex]50.043[/tex] × [tex]10^{5}[/tex].

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Answer:

Poem:

Function is binary relation of two sets

have a single output but

not Function is having no function

have multiple output.

Range is a function refer to two closely concepts

but

Domain is a set of possible input values with concepts.

All the function are relation but

not all relation are function.

Relation is a collection of ordered pair but

imaginary is a collection of complex number written in imaginary unit.

Vertical line is parallel to y-axis but

horizontal line is parallel to x-axis.

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent

Answer:

After a quick online search, I've found that the complete question is:

a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs  the same amount, complete the table of values representing the cost of gummy candy in pounds.

Then we want to graph the points, and then comes our question:

c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.

So first, we know that this is a proportional relationship (each pound of candy costs the same)

And 0 pounds of candy should cost $0.

Then the relation between y (price) and x (number of lb) is:

y = k*lb

where k is the cost per lb.

Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:

$4.50 = k*3lb

($4.50/3lb) = k = $1.50/lb

Then the linear relation is:

y = ($1.50/lb)*x

Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.

If we replace those values in the equation, we get:

$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25

This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.

Answer:

i think its 2m²=54, not sure thought

Answer:

100-.idrk

Step-by-step explanation:

im the best

Answer:

(Shown below)

Step-by-step explanation:

Here are a few formulas for shapes:

Here a few formulas for functions, if you need it:

Hope this helps!

Answer:

it is an outlier !!!!!

Answer:

x is 12

Step-by-step explanation:

7.5÷5=1.5

1.5×8=12

Answer:

The lateral surface is 212

Step-by-step explanation:

Lateeal surface area is = Ph

12+12+10+10(15)=212

Answer:

9.4

Step-by-step explanation:

Given :

LM= 22, NO = 6, and LN= 14 ; MO = x

Since O bisects the triangle ;

LN / NO = LM / MO

14 / 6 = 22 / x

Cross multiply :

14 * x = 22 * 6

14x = 132

Divide both sides by 14

14x/14 = 132 / 14

x = 9.428

x = 9.4 ( 1 decimal place)

Answer:

use a net to fin surface area of a prism by multyplying 10 to the power of 50

Step-by-step explanation:

Answer:

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Step-by-step explanation:

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Answer:

La base del soporte mide 58.3 cm.

Step-by-step explanation:

Dado que los monitores que están fabricando están apoyados en un soporte triangular, si el monitor mide 50 cm y debe tener una altura de 30cm, para determinar cuánto mide la base del soporte se debe realizar el siguiente cálculo utilizando el teorema pitagórico:

50^2 + 30^2 = X^2

2,500 + 900 = X^2

3,400 = X^2

√3,400 = X

58.30 = X

Por lo tanto, la base del soporte mide 58.3 centímetros.