Answer:
### 2A.

### 2B.

### 3.

9514 1404 393

**Answer:**

2a. (x, y) = (2, 2)

2b. (x, y) = (3, -1)

3. -5, 3, y, 5, 1

**Step-by-step explanation:**

The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.

2(3y-4) -y = 2 . . . . . substitute for x

6y -8 -y = 2 . . . . . . eliminate parentheses

5y = 10 . . . . . . . . . add 8, collect terms

y = 2 . . . . . . . . . . divide by 5

x = 3(2) -4 = 2 . . . find x using the first equation

**The solution is (x, y) = (2, 2)**.

__

Add 3 times the second equation to the first.

(3x +2y) +3(-x +y) = (7) +3(-4)

5y = -5 . . . . . simplify

y = -1 . . . . . . . divide by 5

x = y +4 = -1 +4 = 3 . . . . rearrange the second equation

**The solution is (x, y) = (3, -1)**.

__

The slope of this equation is ** -5 ** [the x-coefficient]. I would start at

[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? 1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) 2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) 3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) 4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Which of the following scatterplots would have a trend line with a positive slope?

The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?

The temperature in potter's kiln dropped 760 degrees in 4 hours. On average, how much did the temperature drop per hour?

Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form.

Which of the following scatterplots would have a trend line with a positive slope?

The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?

The temperature in potter's kiln dropped 760 degrees in 4 hours. On average, how much did the temperature drop per hour?

Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form.

**Answer:**

x= -3

**Step-by-step explanation:**

**Answer:**

pink

**Step-by-step explanation:**

**Answer:**

82.62

**Step-by-step explanation:**

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

For z = 0.525:

**A raw score of approximately 82.62 corresponds to the 70th percentile.**

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625

**Answer:**

**t = 40**

**Step-by-step explanation:**

Given the logarithmic expression:

Use the **Logarithmic Property (Quotient Rule):**

Next, using the** Logarithmic Property**:

We must determine the possible value of** t** that can be divided by 5 to produce a quotient of 8 that will make the

Therefore, the value of**t**** = 40**.

-2x=10-6

The answer: x= -2

The answer: x= -2

**Answer:**

x= -2

**Step-by-step explanation: **(remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6 -6

-----------------

-2x = 4

------------

-2 = -2

x = -2

y=3x+4. Find an equation of a line that is:

perpendicular to the given line

PLZ ANSWER FAST 50 POINTS

**Answer:**

Parallel: y = 3x +*b*, where *b* ≠ 4

Perpendicular: y = -1/3x + *b*

**Step-by-step explanation:**

Parallel Lines have the same slope but different y-intercepts.

Perpendicular Lines have a negative reciprocal in slope.