Is the following function even, odd, or neither? f(x) = -2x + 6
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[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies -6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-6}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-10=-6(x+2)\implies y-10=-6x-12\implies y=-6x-2[/tex]

Therefore, the surface area of the rectangular prism is 2600 square inches.

In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.

Here,

To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.

Therefore, the surface area of the rectangular prism is:

=2 * (23 in. * 8 in.) (top and bottom faces)

=2 * (36 in. * 8 in.) (front and back faces)

=2 * (23 in. * 36 in.) (left and right faces)

= 368 + 576 + 1656

= 2600 square inches

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Answer:

For every hour they work (x), they are being paid $25. (d)

Step-by-step explanation:

So, D=25x

Answer:

(x+6)^2+3

Step-by-step explanation:

translate 6 left

left is negative

so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right

and 3 units up so add x by 3 to get (x+6)^2+3

Answer:

g(x) = (x + 6)² + 3

Step-by-step explanation:

To move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

Since we are moving to the left 6, we will have: g(x) = x² + 6

To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:

g(x) = (x + 6)² + 3

A graph is below for further conformation.

hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=[tex]-\frac{b}{2a}[/tex] If a is positive, the minimum value of the function is f ([tex]-\frac{b}{2a}[/tex]).

Substitute in the values of aa and b.

x=−[tex]\frac{48}{2(3)}[/tex]

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

1000 :)

Step-by-step explanation:

We need to subtract to solve!!

54735 - 53000 = 1735

1735 - 735 = 1000

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Answer:

The answer is 9

Because the 4 meters short than bank and ban is 13 meters

So subtract 13 - 4=9

Step-by-step explanation:

Answer:

1.15

2.1

3.3

45

5.3

6.8

7.4

8.5

9. 24

Step-by-step explanation:

Answer:

1. 15

2. 1

3. 3

4.  2.5

5. 3

6. 8

7. 4

8. 5

9. 24

10. 6

11. 3

12. 52

13. 44

14. 38

15. 24

16. 12

17. 2

18. 12

Step-by-step explanation:

The two angles given are vertical angles, which mean they are equal to each other.

2x + 2 = 3x -52

Add 52 to both sides:

2x + 54 = 3x

Subtract 2x from both sides:

54 = x

Rewrite as x = 54

Answer: x = 54

Answer: 32 m^2

Step-by-step explanation:

first set up your equation; A=A rectange - 2(A square). The you plug in your numbers A = 40-2(4). The you do 40-8 = 32

All are technically squares, but if you are referring to just squares, then C and D are squares.

Answer: z _> -10

Step-by-step explanation:

Answer:

Given:

A set of functions,

A. y = -(x-4)^2  

B. y=3(x- 4)^2

C. y = [x] + 4

D. y = -5x + 4.  

To Find:

The function whose range is (-infinity, 4].

Solution:

1. The function y = -(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

2. The function y = 3(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

3. y = [x] + 4 (where [x] = greatest integer function). This function is an increasing function with a minimum value towards negative infinity and the maximum value tends towards the positive side of infinity.  

=> Range of y = [x]  + 4 is (-infinite, infinite).

4. y = -5x+4 is a continuous increasing function without any exceptions.  

=> Range of y = -5x+4 is (-infinite,infinite)

Therefore, none of the functions has their range from (-infinity,4].

Step-by-step explanation:

(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².

(b) The time for the ball to hit the ground is 3.15 s.

(c) The time for the ball to travel 56 ft above the ground is 0.79 s.

The vertical motion equation for the ball is calculated as follows;

h = h₀ + vt - ¹/₂gt²

h = 8 + 48t - ¹/₂(32)t²

h = 8 + 48t - 16t²

0 = 8 + 48t - 16t²

solve the above quadratic equation with formula method;

a = -16, b = 48, c = 8

t = 3.15 s

h = 8 + 48t + 16t²

56 = 8 + 48t + 16t²

0 = -48 + 48t + 16t²

solve the above quadratic equation with formula method;

a = 16, b = 48, c = -48

t = 0.79 s

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Answer:

See below ~

Step-by-step explanation:

(a)

(b)

Answer:

C

Step-by-step explanation:

g(x) through the point (1,4) so its mean when x equal to 1, g(x) equal to 4 so you replace that point so you can choosse C

Answer:

C

Step-by-step explanation:

The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.

Answer:

40%

Step-by-step explanation:

The original is $20. It is now 12/20 is ?/100

12*100=1,200/20=60     100-60=40%

Answer:

D. 40%

Step-by-step explanation:

Percent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is [tex]\frac{FV-IV}{IV} * 100 = PC[/tex]. Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.

We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.

Solving for Percent Change

Step 1: Plug in values.

Step 2: Simplify.

Therefore, the answer is D. 40%.

If  each point costs $1000.00. how long would it take to break even by buying is:9 years.

First step

Monthly savings=$958-$948.75

Monthly savings=$9.25

Second step

Time=(Cost of points/Mothly savings)/ 12 months

Time=($1,000/$9.25)/12 months

Time=108/12 months

Time=9 years

Therefore how long would it take to break even by buying is:9 years.

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Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees

Fractions are written as the ratio of two integers

Given the following parameters

total area of open field = 21km^2

If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:

Amount covered in trees = 2/5 * 21

Amount covered in trees = 42/5

Amount covered in trees  = 8.4km^2

Hence 8.4km^2 of her property are covered in trees

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If 73% of the students surveyed said their favorite color was purple,  1,000 students were surveyed in total.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.

Hence, mathematically, we have;

73% of x = 219

(73/100) × x = 219

73x = 100×219

73x = 219,000

x = 219,000/219

x = 1,000 students

Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.

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Answer:

I think the answer is no

Step-by-step explanation:

It's been awhile but if I remember correctly a function cannot be a parabola (this graph) because it does not pass the vertical line test. If there are two points on a vertical line it is not a function. Hope this helps!

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

7h-15h+40=-72

-8h=-112

h=14

Answer:

Answer is 14

Step-by-step explanation:

------

-8

Hope it helps!

BYE

Answer:

Step-by-step explanation:

Compounding interest :

Future value of money = Present value * (1+ r)^N

r - interest rate

n - number of period

In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N

by solving that we can find it that N is equal to 10.3675

Simple interest :

400 - 325.76 = 74.26$ we need to increase

325.76*2% = 6.5152$ each year

74.26 / 6.5152 = 11.3949

as a whole year = 12years

Answer:

14

increase

Step-by-step explanation:

Answer:

14, increase

Step-by-step explanation:

Answer:

x^2 + 9x + 30 = 0

Step-by-step explanation:

Given: f(x) = x² – 10x + 24

g(x) = x – 6

f(- x) = g(x) :

(-x)² - 10(- x) + 24 = x - 6

x² + 10x + 24 - x + 6 = 0

Result: x² + 9x + 30 = 0

Answer:

Y = (x - 11/2)^2 -1/4

Step-by-step explanation:

subtract g(x) to f(x)

f (x) - g (x) = x^2 -10x +24 -x + 6

f (x) - g (x) = x^2 -11x +30

Let's call Y

Y = x^2 -11x +30

The standard form is by definition as Y = a (x-b)^2 + h

In this specific case:

Y = (x - 11/2)^2 -121/4 + 30

Y = (x - 11/2)^2 -1/4

For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

To use the treehouse as the start of the zip line, the cable needs to be attached to the starting tree at a height of 18 feet above the ground.

To meet the slope constraint, Esteban wants to change the height to 7 feet and end the zip line at a height of 11 feet above the ground.

He claims this vertical change meets the slope constraint.

The slope for tree A will be

[tex]\rm Slope \ A = \dfrac{7}{120}\\\\Slope \ A = 0.0583[/tex]

The slope for tree B will be

[tex]\rm Slope \ B = \dfrac{7}{160}\\\\Slope \ B = 0.043[/tex]

For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.

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