Calculate The Constant of Proportionality (k) and Write an Equation for the line in the Graph Below:

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

Answer:

x=71

Step-by-step explanation:

(Base angle of an isosceles triangle)

Answer:

x = 71°

Step-by-step explanation:

Since the 2 legs are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

x = 71°

Answer:

41.5

Step-by-step explanation

The equation is

X×65/100=27

x=27×100/65

x=27×20/13

x=540/13

x=41.5

Answer:

See below

Step-by-step explanation:

Statement                          |   Reason                                                  

1. ∠1 ≅ ∠11                          |   1. Given

2. ∠1 ≅ ∠9                          |  2. Corresponding angles theorem

3. ∠11 ≅ ∠9                         |  3. Transitive property of equality

4. a║b                                 |  4.  Corresponding angles converse

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

Answer:

i forgot how to do this

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

f(x) = √(x - 4)      x > 4

y = √((x - 4)

Square both sides

y^2 = x - 4

x = y^2 - 4

So the inverse:

f-1(x) = x^2 + 4

f(-1)'(x) = 2x

When x = 3

f(-1)'(3) = 2(3) = 6.

=================================================

Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

I'll refer to them as equation (1) through equation (4) in that order above.

--------------

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

--------------

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

---------------

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

----------------

We found the following conversions:

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

The solution to the system is x = -6, y = -30.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can start by substituting the first equation into the second equation, to eliminate y:

2x - y = 18

2x - 5x = 18 (substituting y = 5x)

-3x = 18

x = -6

Now that we know x = -6, we can use the first equation to find y:

y = 5x

y = 5(-6)

y = -30

Therefore,

The solution to the system is x = -6, y = -30.

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Answer:

I think d

Step-by-step explanation:

Answer:

- At least <turn the other way. I think it should be d

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

Answer:

4x⁵ z⁸

Step-by-step explanation:

hope it helps!

.......

Answer:

4 x^5 z^8

Step-by-step explanation:

To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.

Hence the above mentioned ans comes...

Hope this helps you

Answer:

Cassandra 10, Borg 7

Step-by-step explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10

Answer:

(5,2), (9.5,70)Step-by-step explanation:

Answer:

Hello

No function.There are two 7's on the x-axis. There can be 2 or more same numbers on the y-axis.

Step-by-step explanation:

Answer is No.

Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

Answer:

82 R?

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

[tex]y\:=a\left(x-k\right)^2+h[/tex]

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

[tex]y\:=a\left(x+1\right)^2+3[/tex]

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

[tex]-5\:=a\left(1+1\right)^2+3[/tex]

simplifying the equation

[tex]2^2a+3=-5[/tex]

[tex]4a+3=-5[/tex]

subtract 3 from both sides

[tex]4a+3-3=-5-3[/tex]

[tex]4a=-8[/tex]

Divide both sides by 4

[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]

[tex]a=-2[/tex]

So our equation in vertex form is:

[tex]y\:=-2\left(x+1\right)^2+3[/tex]

5)

Given the expression

[tex]15n^2-6n[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]=15nn-6n[/tex]

[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]

[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]

Factor out the common term 3n

[tex]=3n\left(5n-2\right)[/tex]

6)

Given the expression

[tex]2x^2+5x-10x-25[/tex]

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]

what are do you want from me i don't even know my bad

Answer:

I would say around 41.3% I'm sorry if I am wrong :/

Step-by-step explanation:

62/150 around 0.413

Answer:

a < -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-11 > 1 + a

Step 2: Solve for a

Here we see that any value a smaller than -12 would work as a solution to the inequality.

Answer:

a < -12

Step-by-step explanation:

Answer:

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

Therefore, we conclude that:

Step-by-step explanation:

Given:

A graph is given

To determine:

g(4) = ?

In other words, from the given graph, we need to determine the value of y at x=4

Finding g(4)

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

Therefore, we conclude that:

Answer: -3

Step-by-step explanation: hope this help

Answer:

the 6 x 5squared(with the little two on the top)

:)

Answer:

6 * 5^2  .....  6 * 5* 5 ........ 150

Step-by-step explanation:

going left to right the top row its the 2 and 4 and the bottom row is the middle one

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

Answer:

Choice C

Step-by-step explanation:

The only one that isn't a linear function is table C. If we take a look at table D (because it's easier and without any negatives) the x values decreases by two every time and the y values increase by 4 every time. Then when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is why this table isn't a linear function.

The only one that is a nonlinear function is table Choice C.

In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.

Now, linear expression refers to an expression which has variables with an exponent equal to one.

But Nonlinear functions have a slope that varies between points.

If we take a look at table D because it's easier and without any negatives then we can see that the x values decreases by two every time and the y values increase by 4 every time.

Thus when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is not a linear function.

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