HELP. Analyze the diagram below and complete the instructions that follow. Find the exact value of tan 0.

Answer:

Option a

Step-by-step explanation:

This is a nice simple problem!

Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -

h( x ) = f( x ) - g( x )

⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )

⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements

⇒ h( x ) = - 2x + 200

And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )

If you would like, there is a graph of the function in the attachment below.

Answer:

It's B on edge!

Answer:

y=1/4x + 16

Step-by-step explanation:

Answer:

cccccccccccccccccccccccccccc

C!

Answer:

D

Step-by-step explanation:

Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent

KM = LM = 5

Δ MJK is isosceles ( base angles are congruent ), thus

MJ = KM = 5 , substitute value

x + 1 = 5 ( subtract 1 from both sides )

x = 4 → D

x=4

Step-by-step explanation:

all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4

Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer: c) 27:8

Step-by-step explanation:

As volume of cube is side^3

volume of cube with side 2a is 8.a^3

volume of cube with side  3a is 27.a^3

ration of volumes is 27:8

Hey there! :)

Answer:

y = 0, also known as the x-axis.

Step-by-step explanation:

The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.

There is an asymptote at y = 0, or the x-axis because:

[tex]\frac{2}{3} ^{x}\neq 0[/tex]

An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.

Answer:

x = 25

Step-by-step explanation:

Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)

Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

c^2 - a^2 = b^2

50^2 - 25^2 = b^2

2500 - 625 = b^2

1875 = b^2

√1875 = b

43.30127019

now you put that into the expression: x√3:

x√3 = 43.30127019

x = (43.30127019) ÷ (√3)

x = 25

Hope this helped!

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

[tex]\dfrac{14344}{10904} X 100[/tex]

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

Answer:

-15y^6z^{10}+35y^4z^6

Step-by-step explanation:

used an equation calculator

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

   = 3(x² - 4x + 4) + 4

    = 3x² - 12x + 12 + 4

     = 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

Let the number = x

Writing the equation you have:

10x + 15 <= -17

Solve for x

Subtract 15 from both sides:

10x <= -32

Divide both sides by 10:

X <= -32/10

Simplify:

X <= -16/5 as a fraction or -3.2 as a decimal

Answer:

{ x ≠ ±6 ∪ x ≠ ± 6}

Step-by-step explanation:

x cannot be zero even though x can be cancelled in this expression.  Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.

Domain is { x ≠ ±6 ∪ x ≠ ± 6}

Answer:

2

Step-by-step explanation:

Answer: C

Step-by-step explanation:

y = ax + bx + c is the general equation for quadratic function. While the discriminant D is

D = b^2 - 4ac

You are given the equation:

y = x^2 + 3x - 4

Where a = 1, b = 3 and c = -4

Substitutes all the parameters into the discriminant D formula

D = 3^2 - 4 × 1 × -4

D = 9 - ( - 16 )

Open the bracket

D = 9 + 16

D = 25

Therefore, D = 25 and the roots are rational

Answer:

x - 2y + 6 = 0  

Step-by-step explanation:

Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3.  Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.

Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get

2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3.  Then the slope-intercept form of the desired equation is y = (1/2)x + 3.  To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or

x - 2y + 6 = 0                                                                        

Answer:

11 weeks

Step-by-step explanation:

He has 85 and can save 29 each week.  This must be greater than the cost of the tv

85 + 29 w > 395.50

Subtract 85 from each side

85 -85 + 29 w > 395.50-85

29w >310.50

Divide by 29

29w/29 > 310.5/29

w >10.70689655

The number of weeks must be greater than 10.7 so rounding up

He must save for at least 11 weeks

Answer:

19-6x

Step-by-step explanation:

2/3(6-9x)+15

=4-6x+15

=19-6x

Answer:

Solution,

[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Window is in the shape of rectangle

Area of the rectangular window = length * width

                                                     = 18 * 2

                                                     = 36 ft²

Answer:

36

Step-by-step explanation:

i got 100%(❁´◡`❁)

Answer:

f, g, and h only

Step-by-step explanation:

The letters are the variables.

Answer:

a) we know that:

the tens digit exeeds the units digit by 3, then if we have two digits

ab.

and b, the digit for units is equal to r.

then a, the digit for tens, is equal to r + 3.

Then, if r = 4, we have that the digit for tens is r + 3 = 7

and the number is 74.

b) if n is an integer, then we know that 2*n is an even number.

Now, the next even number is always 2 units away, then the next even number to 2*n is:

2*n + 2 = 2*(n + 1)

Answer:

$135,629.37

Step-by-step explanation:

For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet

The value of the loan could come by

= $239,127 - $239,127 × 15%

= $203,257.95

The amount of interest saved is

= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)

= $135,629.37

Answer:

$54 for 4 months   $89 in total

Step-by-step explanation:

Lisa paid $35 at first

then she paid 0.75  per song which is 0.75 *18 = $13.5

Then just multiply 13.5 by 4 b/c of 4 months

The total amount Liza has spent after 4 months is $89.

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,

we need to find the total amount she paid after 4 months,

So, the cost of 18 songs = 0.75 x 18 = $13.5

The cost of 18 songs in 4 months = $54

Now, the total amount she paid = $54 + $35 = $89

Hence, the total amount Liza has spent after 4 months is $89.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ3

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

This is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is 2 and the y intercept is -2

Answer:

slope = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

The Volume of the smaller prism is 37.5 ft³.

Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.

The volume of the prism is determined by the formula

V = Bh

B is the base area and h is the height of the Prism.

The scale factor is given as 1/4, as the volume of the larger prism is given.

The volume of the larger prism is 2400 ft³

the side lengths will be multiplied by 1/4

Let the base area is for the larger prism the area for the smaller prism will be equal to

A = (1/16) a

The height of the larger prism is h.

Height of the smaller prism will be (1/4)h

The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism

The volume of the smaller prism = 2400 / (16*4)

The volume of the smaller prism = 37.5 ft³.

To know more about the Volume of Prism

https://brainly.com/question/1578538

#SPJ2

Answer:

The answer is B. 30 seconds

Answer:

Solution,

Hypotenuse(h)= 25

Base(b)= 20

perpendicular (p)= X

Now,

Using Pythagorean theorem:

[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 20² = 25² , that is

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer: C)  [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]

Step-by-step explanation:

The given system of equations :

[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]

Simplify left side, we get

[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]

Multiplying 2 on equation (iii), we get

[tex]4y-8x=10\ \ ...(v)[/tex]

Subtracting (v) from (iv) , we get

[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]

Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get

[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]

hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]