What is the image of (4,-7) after a reflection over the y-axis?

<img src="https://tex.z-dn.net/?f=Compare%20%5C%3A%20the%20%5C%3A%20graphs%20%5C%3A%20of%20%5C%5C%203x%20-%204y%20%3D%208%20%5C%

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Answer:

<u>Given</u>

Equation 3x - 4y = 8

and

Inequality 3x - 4y ≥ 8

<em>See the graphs attached</em>

To draw the graphs follow the rules we described in the previous questions.

1. Identify x-intercept and y-intercept and connect them to have the line.
2. Shade the region above or below the line if this is an inequality.

We see the only difference the expressions have is the equation or inequality symbols.

Equation symbol means the graph of the equation is a line.
Inequality symbol means the graph of this is a region below the same line, in our case the line is also part of the covered region because it is "≤".

We can state that the inequality includes the line and the region below the same line.

7 0

3 years ago

Christina is making a blanket for her baby granddaughter. The blanket will have ribbon around all 4 edges. There will be:94 feet

larisa [96]

94+94+134+134=188+268=200+246=446

5 0

3 years ago

Read 2 more answers

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

c.

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

The local newspaper has letters to the editor from 60 people. If this number represents 5% of all of

uysha [10]

The newspaper has 1200 readers because if 60 people is only 5%

if you divide 95 by 5 it is 19. 19 times 60 equals 1140. 1140 plus 60 equals 1200. 5% of 1200 is 60.

7 0

3 years ago

Read 2 more answers

Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the ta

german

Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:

He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

<h3>What did Josiah do wrong?</h3>

To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:

= (4 + 6) / 2

= 5

Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.

Find out more on averages at brainly.com/question/13832161.

#SPJ1

7 0

1 year ago