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3 years ago

15

What is the solution to the system of equations below? y=-3x-9 and y=1/3x-39

1 answer:

dexar [7]3 years ago

3 0

To remove fractions, multiply equations by their respective LCD
Multiply equation [2]by 3

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

julia-pushkina [17]

With respect to the <em>parent</em> function y = cos x, we have these function according to the order of the graphs:

cos x
cos (1/2)x
cos 4x
cos 2x
cos (1/4)x

<h3>How to find the functions corresponding to each graph based on the period of a function</h3>

Mathematically speaking, cosines are <em>periodic</em> functions and period (T) is the distance in the <em>horizontal</em> axis such that f(t + T) = f(t). The period of the <em>parent</em> <em>cosine</em> function is 2π. Period in <em>daughter</em> functions may vary by means of the following form:

y = cos Ax (1)

Where:

x - Independent variable
y - Dependent variable
A - Period width

Please notice that <em>daughter</em> functions report periods <em>longer</em> than in the <em>parent</em> function for 0 < A < 1 and a <em>shorter</em> one for A > 1. In consequence, these functions appear in the following order:

cos x
cos (1/2)x
cos 4x
cos 2x
cos (1/4)x

To learn more on periodic functions: brainly.com/question/26369761

#SPJ1

6 0

2 years ago

John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To find

Vanyuwa [196]

Answer:

$408

Step-by-step explanation:

What we know:

John earns a 3% commission for every car he sells.

He sold a car today for $13,600.

Multiply 3/100 by 13,600 to get your answer.

3/100 * 13600

40800/100

$408 in commission

8 0

3 years ago

Read 2 more answers

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters

Naily [24]

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

$A=xy\\p=116=2x+2y\\y=58-x$

Rewriting the area as a function of x:

$A(x) = x(58-x)\\A(x) = 58x-x^2$

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

$A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m$

The value of y is:

$y = 58-29\\y=29\ m$

Length = 29 m

Width = 29 m

4 0

3 years ago

72 is what percent of 240 ?

PilotLPTM [1.2K]

Answer:

72 = 30%

Step-by-step explanation:

240 = 100%

24 = 10%

12 = 5%

2.4 = 1%

72 / 24 = 3

72 = 30%

Let me know if I got it wrong :)

4 0

3 years ago

Read 2 more answers

Richard simplified an expression in three steps, as shown:

soldi70 [24.7K]

Answer:

Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.

Step-by-step explanation:

We are given that Richard simplified an expression in threes steps

We have to find the incorrect step in simplification of Richard

Step 1: all the exponent are multiplied by 3

$\frac{x^{-4}y^2}{yx^2\cdot x^2y^{-4}}^{3}=\frac{x^{-12}y^6}{y^3x^6\cdot x^6y^{-12}}$

Step 2:The exponents in the denominator are multiplied

$\frac{x^{-12}y^6}{y^3x^6\cdot x^6 y^{-12}}=\frac{x^{-12}y^6}{x^{12}y^{-9}}$

Step 3:The exponents of the same base are subtracted during division

$\frac{x^{-12}y^6}{x^{12}y^{-9}}=x^{-12-12}y^{6+9}$

$=x^{-24}y^{15}$

Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.

4 0

4 years ago