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3 years ago

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Two equations are shown: Equation A y = 4 over x + 3 Equation B y = −2x − 4 Which statement best compares the graphs of the two

equations? Both are nonlinear. Both are linear. Equation A is nonlinear and Equation B is linear. Equation A is linear and Equation B is nonlinear.
SHOW WORK!!

2 answers:

Lostsunrise [7]3 years ago

7 0

Answer:

The answer is C. Equation A is nonlinear and Equation B is linear.

Hope This Helps!

77julia77 [94]3 years ago

5 0

The given equations are
A. $y= \frac{4}{x}+3$
B. y = -2x - 4

Equation A is nonlinear.
Equation B is linear.
The graphs are shown below.

Answer:
Equation A is nonlinear and equation B is linear.

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Does this set of ordered pairs represent a function? Why or why not?

belka [17]

Answer:

A

Step-by-step explanation:

Recall that for a function to be valid, each input value of x must give us one and only one unique output value for y.

in this case we can see that one of the data sets is (3,-1)

which means that an input of 3 gave an output of -1

but we also see that another data set (3,1)

in this case an input of 3 gave an output of 1.

Because the same x input gives 2 different y outputs, this is not a function.

the answer is A

3 0

4 years ago

Solve the following equation.<br> c/4 = 12

nexus9112 [7]

Answer:

48

Step-by-step explanation:

c÷4=12

4×c÷4=4×12

c=48

4 0

4 years ago

Four spinners are spun. Spinner 1 has outcomes Spinner 2 has outcomes Spinner 3 has outcomes Spinner 4 has outcomes The outcomes

aleksandrvk [35]

Complete Question

Four spinners are spun. Spinner 1 has outcomes {1,2,3,4,5,6,7,8} Spinner 2 has outcomes {1,2,3,4,5,6} Spinner 3 has outcomes {1,2,3,4,5,6} Spinner 4 has outcomes {1,2,3,4,5} The outcomes for each spinner are equally likely. S is the sum of the numbers that come up on the spinners. What is the expected value of S?

Answer:

$E(s)=14.5$

Step-by-step explanation:

From the question we are told that:

Spinner 1 ={1,2,3,4,5,6,7,8}

Spinner 2= {1,2,3,4,5,6}

Spinner 3 = {1,2,3,4,5,6}

Spinner 4 {1,2,3,4,5}

Generally the equation for expected outcome is mathematically given by

$E(s)=\sum P(x).x$

Where

$x=\frac{n(n+1)}{2}$

For Spinner 1

$E(s_1)=\sum \frac{1}{8}*\frac{8(8+1)}{2}$

$E(s_1)=4.5$

For Spinner 2

$E(s_2)=\sum \frac{1}{6}*\frac{6(6+1)}{2}$

$E(s_2)=3.5$

For Spinner 3

$E(s_2)=E(s_3)$

For Spinner 3

$E(s_4)=\sum \frac{1}{6}*\frac{6(6+1)}{2}$

$E(s_4)=3$

Therefore The Expected Value

$E(s)=\sum E(s 1..4)$

$E(s)=4.5+2(3.5)+3$

$E(s)=14.5$

4 0

3 years ago

A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day

faltersainse [42]

Answer:

$(a)\ \mu_y = 1125$

$(b)\ \sigma_y = 300$

Step-by-step explanation:

Given

$\mu_x = 75$ -- Mean of T-shirts

$\sigma_x = 20$ -- Standard deviation of T-shirts

$Rate = \$ 15$

Solving (a): The mean of the revenue $(\mu_y)$

To solve this, we use:

$\mu_y = Rate * \mu_x\\$

This gives:

$\mu_y = 15 * 75$

$\mu_y = 1125$

Solving (b): The standard deviation of the revenue $(\sigma_y)$

To solve this, we use:

$\sigma_y = \sqrt{Rate^2 * \sigma_2^2}$

This gives:

$\sigma_y = \sqrt{15^2 * 20^2}$

$\sigma_y = \sqrt{90000}$

$\sigma_y = 300$

7 0

3 years ago

Un jardín rectangular de 50 cm de largo por 34 m de ancho está rodeado por un camino de arena uniforme.Halla la anchura de dicho

Anastasy [175]

Answer:

5.85 m

Step-by-step explanation:

The width of the sand road can be calculated knowing its area and the dimensions of the rectangular garden as follows:

$A_{g} = a.b$

<u>Where:</u>

Ag: is the area of the rectangular garden

a: is the length of the rectangular garden = 50 cm = 0.5 m

b: is the width of the rectangular garden = 34 m

$A_{s} = 540 m^{2}$

<u>Where</u>:

As: is the area of the sand road

The relation between the area of the sand road and the area of the rectangular garden is the following:

$A_{s} + A_{g} = (a+2x)*(b+2x)$

$540 m^{2} + 0.5m*34m = ab + 2ax + 2bx + 4x^{2}$

$557 m^{2} = ab + 2x(a + b) + 4x^{2}$

$557 m^{2} - 17m^{2} - 2x(34.5 m) - 4x^{2} = 0$

$540 - 69x - 4x^{2} = 0$

By solving the above equation for x we have two solutions:

x₁ = -23.10 m

x₂ = 5.85 m

Taking the positive value, we have that the width of the sand road is 5.85 m.

I hope it helps you!

7 0

3 years ago