Solve the following system. Verify the solution.y = 4x – 11
x = 2y – 13

Answers

Answer 1

Answer: y = 4x - 11
x = 2y - 13

    x = 2(4x - 11)- 13
    x = 2(4x) - 2(11) - 13
    x = 8x - 22 - 13
    x = 8x - 35
- 8x - 8x
-7x = -35
-7    -7
   x = 5
y = 4x - 11
y = 4(5) - 11
y = 20 - 11
y = 9
(x, y) = (5, 9)

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Sebastian gathered data by surveying his neighbors comparing how much time they spend on the internet to how much mail they receive in a week. Explain the steps Sebastian should take in order to analyze the data.

Answers

Step-by-step explanation:

1. The first is a tabulation of the data, in an organized, clear and concise way for each event.

2. After tabulation, for a better understanding of the data, statistical data, such as the mean, median, and standard deviation of each event, should be collected.

3. Finally, graph the data obtained to see the trend of both cases and thus have a very precise way to make the comparison of both events

Which of the following accurately shows the range of the function defined below?

Answers

Answer: The answer is (b) (2, ∞)

Step-by-step explanation: We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

$\textup{For }x < 0, \textup{we have}~f(x)=3.$

$\textup{For }0\leq x<2,\textup{ we have }f(x)=x^2+2\geq 2.$

$\textup{For }x\geq 2,\textup{ we have }f(x)=(1)/(2)x+5\geq 5.$

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

Answer:
it's b

Step-by-step explanation:

How much cheaper per ounce is purchasing 6 ounces for $6.72 compared to purchasing 3 ounces for$3.48

Answers

Answer:

1.60

Step-by-step explanation:

It is 4 cents cheaper

(3x+8)+x>3x-12 can someone tell me how to solve it because already know the answer which is x>-20

Answers

(3x + 8) + x > 3x - 12
3x + x + 8 > 3x - 12
      4x + 8 > 3x - 12
      - 3x     - 3x
      x + 8 > -12
      - 8   - 8
      x > -20

Solution Set: (-∞, -20)

Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.

Answers

Answer:

The elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be $x$ . Hence, we can write

$T = 212$ $- 1.72x$

Where $T$ is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is $190$ ° $F$ .

We will determine $x$ by putting $T = 190$ ° $F$ .

Hence,

$T = 212$ $- 1.72x$

$190$ $= 212$ $- 1.72x$

$190 - 212$ $= - 1.72x$

$- 22$ $= - 1.72x$

$22 = 1.72x\nx = (22)/(1.72) \nx = 12.79070$

Since $x$ represents every 1,000 feet of elevation, then the elevation when the boiling point of water is $190$ ° $F$

$12.79070$ × $1000\n$ $= 12790.70$ feet

Hence, the elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

Mrs. Malloy is ordering pizza for her Algebra class. One-fourth of the students wantcheese pizza. If five students want cheese pizza, how many students are there in total?
Use the variable s=students. Your answer should be written as s= your answer.