Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?



A.
Line JK and line LM will be parallel.

B.
Line JK and line LM will be perpendicular.

C.
The slope of line JK will be the same as the slope of line EF.

D.
The slope of line LM will be the negative reciprocal of the slope of line GH.

Answer:

$22.50

Step-by-step explanation:

Answer:

33 adult tickets and 21 student tickets

Step-by-step explanation:

We will create a system of equations.

Let x = the number of adult tickets sold and let y = the number of student tickets sold

x + y = 54

3x + 2y = 141

We can cancel out the y by multiplying the first equation by -2.

-2x - 2y = -108

3x + 2y = 141

Adding these equations together we get:

x = 33

Plugging this into the equation, we have:

38 + y = 54

y = 21

There were 33 adult tickets and 21 student tickets

Answer:

2812+1845

=4657

step 2

=8500-4657

=3843

he must sell 3843 books in the next 2 months

Answer: No

Step-by-step explanation:

Because 52/1 is just plain 52

But 1/52 is one thing out of 52 of them.

So 52/1 is just the number 52 versus 1/52 is one of fifty-two.

Answer:

Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.

Step-by-step explanation:

Hope this helped and please tell me if I'm incorrect :)

The intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

The interval in which the y - coordinate of the points gets larger, or the graph gets higher as it moves from left to right over the interval is called increasing interval. Similarly, the interval in which the y - coordinate of the points gets smaller or the graph gets lower as it moves from left to right over the interval is called decreasing interval.

Given is the following function f(x) -

f(x) = x³ + 3x² - 4x - 12

First, we will plot the graph of this function. The graph is attached with the answer. On the graph, there are two black dots. From the definition of increasing functions, we know that the interval along which the y - coordinate gets larger is called increasing interval of the function. The first interval over which the function is increasing is-  x ∈ (- ∞, - 2.5). The second interval over which the function is increasing is- x ∈ (0.5, ∞).

Therefore, the intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

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Answer:

baila como juana la cubana

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

work is in the picture if you need it... please mark brainiest

Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

The constant of proportionality is 4, while the equation is given as y = 4x.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent number of mines and y represent the number of gems. Since this is a proportional relationship, hence:

y = kx; where k is the constant of proportionality

From the table when y = 4, x = 1, hence:

4 = k(1)

k = 4

y = 4x

The constant of proportionality is 4, while the equation is given as y = 4x.

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Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Answer:

it would 4,446.41

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Algebraic properties can be used as "reasons" in a two-column proof.

Step-by-step explanation:

Let's take an example:

Given: F = 9/5C + 32

Prove: C = 5/9(F-32)

Statements                                       Reasons

1) F = 9/5C + 32                               1) Given

2) F-32 = 9/5C                                 2) subtraction

3) 5/9(F-32) = C                                3) multiplication

4) C = 5/9(F-32)                                4) symmetric property

Therefore, we conclude that Algebraic properties can be used as "reasons" in a two-column proof.

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

Given that the number of pieces of bling = x = 9

Thus,

[tex]y = 1.36x+1.54[/tex]

 [tex]= 1.36(9)+1.54[/tex]

 [tex]=12.24+1.54[/tex]

 [tex]=13.78[/tex]

Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

Answer:

x² + 24x + 84

Step-by-step explanation:

4 * (x+3)(x+3) - 3 * (x+4)(x-4)

4(x²+6x+9) - 3(x²-16)

4x² + 24x + 36 - 3x² + 48

x² + 24x - 84

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

Answer:

f(x)g(x) = 2x² - 6x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = x - 3

Step 2: Find f(x)g(x)

Answer:

41/30

Step-by-step explanation:

To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!

The point slope formula is ...

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

So lets put them in!

y - 4    =    2/3     (x - (-3))

Tip: remember when you subtract a negative number, it turns into adding !

So our final answer is probably D (I think you may have put a typo)

[tex]y - 4 = \frac{2}{3} (x + 3)[/tex]

The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

The given parameters are

New value = £16,500

Rate of decrease = x%

Let the initial value of the Sally's caravan be represented by y

So, we have the following equation

Initial value  * (1 - Rate of decrease) = New Value

This gives

y * (1 - x%) = 16,500

Divide both sides of the equation by y

So, we have

1 - x% = 16500/y

This gives

x% = 1 - 16500/y

Multiply through by 100

x = 100 - 1650000/y

Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

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The mode of the given data set is 1.

The given data set is 5, 4, 0, 1, 1, 0, 2, 2, 3, 1, 0, 4, 1, 1, 5, 2, 4, 0, 1, 2, 3.

We need to find the mode of the given data set.

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

The order of the given data set is

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, and 5.

Here, mode=1 (appear 6 times)

Therefore, the mode of the given data set is 1.

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Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

A. The equation for x is c - b/a

B. x = 4

x = 10

Given the equation;

ax + b  = c

Let's make 'x' the subject of formula by expressing it in terms of other variables

We have;

ax = c - b

Divide both sides by the coefficient of 'x'

ax/a = c - b/ a

x = c - b/a

B. 3x + 7 = 19

Let's solve for x

3x = 19 - 7

3x = 12

Make 'x' the subject

x = 12/ 3

x = 4

1/2x  = 5

cross multiply

x = 5 × 2

x = 10

Thus, the equation for x is c - b/a

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Answer:

hey ok

Step-by-step explanation:

a

Answer:

there you go took me a second but I got it

The points of inflection for the function [f(x) = (x⁴ - 6x²)] are (1, -5) and

(-1, -5).

As per the question statement, we are provided with a function

[f(x) = (x⁴ - 6x²)].

We are required to determine the points of inflection for the above mentioned function.

To solve this question, we will have to calculate the second derivative of the given function. Then, we will have to equate the derivative to zero and solve for x. The obtained values for "x" will be our abscissa, and substituting these values of "x" in f(x), we will obtain our respective ordinates [Since, {y = f(x)}].

[tex]f(x)=(x^{4} -6x^{2})\\or,\frac{d[f(x)}{dx} = \frac{d(x^{4} -6x^{2}) }{dx}\\ or, f'(x)=\frac{dx^{4}}{dx}-\frac{d(6x^{2})}{dx}\\ or, f'(x)=\frac{dx^{4}}{dx}-6\frac{d(x^{2})}{dx}\\or, f'(x)=4x^{(4-1)}-(6*2)[x^{(2-1)}]\\ or,f'(x)=4x^{3}-12x\\[/tex]

Therefore, the second derivative of f(x) = [tex]\frac{d^{2}f(x)}{dx^{2} }[/tex]

[tex]or,f"(x)=\frac{d[f'(x)]}{dx}\\or,f"(x)=\frac{d(4x^{3} -12x)}{dx}\\or, f"(x)=\frac{d(4x^{3}) }{dx}-\frac{d(12x)}{dx}\\ or, f"(x)=4\frac{d(x^{3}) }{dx}-12\frac{d(x)}{dx}\\or,f"(x)=(4*3)[x^{(3-1)}]-(12*1)[x^{(1-1)}]\\ or, f"(x)=12x^{2} -12[/tex]

Now, equating (12x² - 12) to Zero, we get,

[tex](12x^{2} -12)=0\\or,12x^{2} =12\\or,x^{2} =1\\or,x=(1, -1)[/tex]

Now, substituting (x = 1) in f(x), we get,

[tex]y=f(1)=[(1)^{4}-6(1)^{2}]\\ or,y=[1-(6*1)]\\or,y=(1-6)\\or,y=(-5)[/tex]
Hence, one point of inflection for the function [f(x) = (x⁴ - 6x²)] is (1, -5).

Again, substituting [x = (-1)] in f(x), we get,

[tex]y=f(-1)=[(-1)^{4}-6(-1)^{2}]\\ or,y=[1-(6*1)]\\or,y=(1-6)\\or,y=(-5)[/tex]

That is, another point of inflection for the function

[f(x) = (x⁴ - 6x²)] is (-1, -5).

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Answer: Rami saved 2004 pennies

Step-by-step explanation: